Number of the day: 2462763

Kurt Gödel was born on this day 113 years ago.

Properties of the number 2462763:

2462763 = 3 × 820921 is semiprime and squarefree.
2462763 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 1641840 totatives.
2462763 has a sphenic digit sum 30 in base 10.
2462763 has an oblong digit sum 30 in base 10.
Reversing the decimal digits of 2462763 results in a sphenic number.
2462763 = 1231382² - 1231381² = 410462² - 410459² is the difference of 2 nonnegative squares in 2 ways.
2462763 is the difference of 2 positive pentagonal numbers in 1 way.
2462763 = 7² + 85² + 1567² is the sum of 3 positive squares.
2462763² = 1187637² + 2157480² is the sum of 2 positive squares in 1 way.
2462763² is the sum of 3 positive squares.
2462763 is a proper divisor of 149¹³⁶⁸² - 1.
2462763 = '2462' + '763' is the concatenation of 2 semiprime numbers.
2462763 is an emirpimes in (at least) the following bases: 6, 9, 13, 24, 27, 30, 33, 52, 60, 64, 76, 79, 89, 92, 96, and 97.

Number of the day: 503517

Properties of the number 503517:

503517 = 3 × 7 × 23977 is a sphenic number and squarefree.
503517 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 287712 totatives.
503517 has a semiprime digit sum 21 in base 10.
503517 has a Fibonacci digit sum 21 in base 10.
503517 has a triangular digit sum 21 in base 10.
503517 = 251759² - 251758² = 83921² - 83918² = 35969² - 35962² = 11999² - 11978² is the difference of 2 nonnegative squares in 4 ways.
503517 is the sum of 2 positive triangular numbers.
503517 is the difference of 2 positive pentagonal numbers in 2 ways.
503517 = 40² + 59² + 706² is the sum of 3 positive squares.
503517² = 331485² + 379008² is the sum of 2 positive squares in 1 way.
503517² is the sum of 3 positive squares.
503517 is a proper divisor of 1871¹² - 1.

Number of the day: 1828204

Properties of the number 1828204:

1828204 = 2² × 7 × 65293 is the 1691170^th composite number and is not squarefree.
1828204 has 3 distinct prime factors, 12 divisors, 15 antidivisors and 783504 totatives.
1828204 has a semiprime digit sum 25 in base 10.
Reversing the decimal digits of 1828204 results in a prime.
1828204 = 457052² - 457050² = 65300² - 65286² is the difference of 2 nonnegative squares in 2 ways.
1828204 is the difference of 2 positive pentagonal numbers in 2 ways.
1828204 = 58² + 258² + 1326² is the sum of 3 positive squares.
1828204² = 1239504² + 1343860² is the sum of 2 positive squares in 1 way.
1828204² is the sum of 3 positive squares.
1828204 is a proper divisor of 281⁵⁴⁴¹ - 1.

Number of the day: 60979

Felix Klein was born on this day 170 years ago.

Andrey Kolmogorov was born on this day 116 years ago.

Properties of the number 60979:

60979 = 17² × 211 is the 54833^th composite number and is not squarefree.
60979 has 2 distinct prime factors, 6 divisors, 13 antidivisors and 57120 totatives.
60979 has an emirp digit sum 31 in base 10.
Reversing the decimal digits of 60979 results in a semiprime.
60979 = 30490² - 30489² = 1802² - 1785² = 250² - 39² is the difference of 2 nonnegative squares in 3 ways.
60979 is the sum of 2 positive triangular numbers.
60979 is the difference of 2 positive pentagonal numbers in 2 ways.
60979 = 83² + 117² + 201² is the sum of 3 positive squares.
60979² = 33971² + 50640² = 28696² + 53805² is the sum of 2 positive squares in 2 ways.
60979² is the sum of 3 positive squares.
60979 is a proper divisor of 829¹² - 1.
60979 is palindromic in (at least) base -46.
60979 in base 16 = ee33 and consists of only the digits '3' and 'e'.

The number 60979 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A050842: Numbers k such that 181*2^k-1 is prime.

Number of the day: 61462

Properties of the number 61462:

61462 = 2 × 79 × 389 is a sphenic number and squarefree.
61462 has 3 distinct prime factors, 8 divisors, 27 antidivisors and 30264 totatives.
61462 has a prime digit sum 19 in base 10.
61462 is the sum of 2 positive triangular numbers.
61462 is the difference of 2 positive pentagonal numbers in 3 ways.
61462 = 1² + 90² + 231² is the sum of 3 positive squares.
61462² = 29862² + 53720² is the sum of 2 positive squares in 1 way.
61462² is the sum of 3 positive squares.
61462 is a proper divisor of 1423⁹⁷ - 1.
61462 = '614' + '62' is the concatenation of 2 semiprime numbers.
61462 is palindromic in (at least) base -14.

The number 61462 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A094377: Greatest number having exactly n representations as ab+ac+bc with 0 < a < b < c.

Number of the day: 887318

Properties of the number 887318:

887318 = 2 × 443659 is semiprime and squarefree.
887318 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 443658 totatives.
887318 has a semiprime digit sum 35 in base 10.
887318 = 18² + 95² + 937² is the sum of 3 positive squares.
887318² is the sum of 3 positive squares.
887318 is a proper divisor of 59⁷³⁹⁴³ - 1.
887318 is an emirpimes in (at least) the following bases: 4, 8, 9, 12, 15, 16, 21, 22, 23, 24, 25, 28, 29, 31, 36, 40, 54, 57, 58, 64, 65, 76, 77, 78, 80, 81, 84, 85, 88, 90, and 96.

Number of the day: 669

Properties of the number 669:

669 = 3 × 223 is semiprime and squarefree.
669 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 444 totatives.
669 has a semiprime digit sum 21 in base 10.
669 has a Fibonacci digit sum 21 in base 10.
669 has a triangular digit sum 21 in base 10.
669 = 335² - 334² = 113² - 110² is the difference of 2 nonnegative squares in 2 ways.
669 is the sum of 2 positive triangular numbers.
669 is the difference of 2 positive pentagonal numbers in 1 way.
669 = 10² + 13² + 20² is the sum of 3 positive squares.
669² is the sum of 3 positive squares.
669 is a proper divisor of 1783² - 1.
669 = '6' + '69' is the concatenation of 2 semiprime numbers.
669 is an emirpimes in (at least) the following bases: 3, 5, 11, 14, 17, 21, 22, 24, 25, 26, 27, 28, 31, 35, 37, 43, 44, 45, 48, 51, 53, 59, 60, 75, 78, 79, 85, 89, 92, 93, 94, and 99.
669 is palindromic in (at least) the following bases: -18, and -23.
669 in base 6 = 3033 and consists of only the digits '0' and '3'.
669 consists of only the digits '6' and '9'.
669 in base 11 = 559 and consists of only the digits '5' and '9'.
669 in base 25 = 11j and consists of only the digits '1' and 'j'.

The number 669 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001743: Every digit contains at least one loop (version 1).
A001748: 3 * primes.
A025147: Number of partitions of n into distinct parts >= 2.
A028505: Number of primes <= 100*n.
A051227: Bernoulli number B_{2n} has denominator 42.
A059729: Carryless squares n X n base 10.
A161345: Numbers k whose largest divisor <= sqrt(k) is 3.
A192065: Expansion of prod(k>=1, Q(x^k)^k ) where Q(x)=prod(k>=1, 1+x^k ).
A265072: Coordination sequence for (3,3,5) tiling of hyperbolic plane.
A298035: Coordination sequence of Dual(3.12.12) tiling with respect to a trivalent node.