Number of the day: 1667613

Carl Ludwig Siegel was born on this day 120 years ago.

Properties of the number 1667613:

1667613 = 3 × 555871 is semiprime and squarefree.
1667613 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 1111740 totatives.
1667613 has a sphenic digit sum 30 in base 10.
1667613 has an oblong digit sum 30 in base 10.
1667613 = 833807² - 833806² = 277937² - 277934² is the difference of 2 nonnegative squares in 2 ways.
1667613 is the difference of 2 positive pentagonal numbers in 1 way.
1667613 = 38² + 85² + 1288² is the sum of 3 positive squares.
1667613² is the sum of 3 positive squares.
1667613 is a divisor of 1237²⁶⁴⁷ - 1.
1667613 = '1667' + '613' is the concatenation of 2 prime numbers.
1667613 = '166' + '7613' is the concatenation of 2 semiprime numbers.
1667613 is an emirpimes in (at least) the following bases: 11, 15, 21, 25, 26, 27, 33, 34, 35, 36, 53, 56, 69, 73, 76, 81, 84, 87, 91, 93, 96, 98, and 99.

Number of the day: 83726

Properties of the number 83726:

83726 = 2 × 41863 is semiprime and squarefree.
83726 has 2 distinct prime factors, 4 divisors, 9 antidivisors and 41862 totatives.
83726 has an emirpimes digit sum 26 in base 10.
83726 has a triangular digit product 2016 in base 10.
83726 = 39² + 46² + 283² is the sum of 3 positive squares.
83726² is the sum of 3 positive squares.
83726 is a divisor of 7⁶⁹⁷⁷ - 1.
83726 = '8372' + '6' is the concatenation of 2 oblong numbers.
83726 is an emirpimes in (at least) the following bases: 2, 8, 16, 19, 22, 23, 26, 29, 36, 39, 40, 45, 47, 50, 51, 53, 56, 57, 59, 62, 65, 69, 71, 74, 78, 83, 85, 86, 87, 91, 94, and 99.
83726 is palindromic in (at least) the following bases: 49, 68, and -71.
83726 in base 23 = 6k66 and consists of only the digits '6' and 'k'.
83726 in base 49 = YgY and consists of only the digits 'Y' and 'g'.

The number 83726 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A239687: Numbers n such that if n = a U b (where U denotes concatenation) then abs(sigma*(a) - sigma*(b)) = abs(sigma*(n) - n), where sigma*(n) is the sum of the anti-divisors of n.

Number of the day: 6045351383

Properties of the number 6045351383:

6045351383 = 2539 × 2380997 is semiprime and squarefree.
6045351383 has 2 distinct prime factors, 4 divisors, 47 antidivisors and 6042967848 totatives.
6045351383 has a semiprime digit sum 38 in base 10.
Reversing the decimal digits of 6045351383 results in a sphenic number.
6045351383 = 3022675692² - 3022675691² = 1191768² - 1189229² is the difference of 2 nonnegative squares in 2 ways.
6045351383 is the sum of 2 positive triangular numbers.
6045351383 is the difference of 2 positive pentagonal numbers in 2 ways.
6045351383 is not the sum of 3 positive squares.
6045351383² = 3480897908² + 4942633215² is the sum of 2 positive squares in 1 way.
6045351383² is the sum of 3 positive squares.
6045351383 is a divisor of 307^3571494 - 1.
6045351383 = '604535' + '1383' is the concatenation of 2 semiprime numbers.
6045351383 is an emirpimes in (at least) the following bases: 8, 13, 16, 19, 24, 26, 27, 31, 36, 37, 39, 41, 42, 45, 51, 52, 53, 73, 77, 80, 81, 84, 88, 97, and 98.

Number of the day: 9125223

John von Neumann was born on this day 113 years ago.

Properties of the number 9125223:

9125223 = 3 × 3041741 is semiprime and squarefree.
9125223 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 6083480 totatives.
Reversing the decimal digits of 9125223 results in an emirpimes.
9125223 = 4562612² - 4562611² = 1520872² - 1520869² is the difference of 2 nonnegative squares in 2 ways.
9125223 is the difference of 2 positive pentagonal numbers in 1 way.
9125223 is not the sum of 3 positive squares.
9125223² = 2293980² + 8832177² is the sum of 2 positive squares in 1 way.
9125223² is the sum of 3 positive squares.
9125223 is a divisor of 173²³³⁹⁸ - 1.
9125223 = '91' + '25223' is the concatenation of 2 semiprime numbers.
9125223 is an emirpimes in (at least) the following bases: 9, 10, 14, 31, 39, 40, 41, 49, 51, 52, 56, 57, 61, 71, 78, 83, 87, and 92.

Number of the day: 5368647660488

Johannes Kepler was born on this day 445 years ago.

Johannes Kepler was born on this day 445 years ago.

Jacob Bernoulli was born on this day 362 years ago.

Properties of the number 5368647660488:

5368647660488 = 2³ × 7 × 337 × 3301 × 86179 is composite and not squarefree.
5368647660488 has 5 distinct prime factors, 64 divisors, 67 antidivisors and 2293299993600 totatives.
5368647660488 has an emirp digit sum 71 in base 10.
5368647660488 is the difference of 2 nonnegative squares in 16 ways.
5368647660488 = 402² + 7520² + 2317022² is the sum of 3 positive squares.
5368647660488² = 2787873414200² + 4588043104512² = 396757085088² + 5353966895480² = 2818615187080² + 4569221610912² = 2441181502088² + 4781528058720² is the sum of 2 positive squares in 4 ways.
5368647660488² is the sum of 3 positive squares.
5368647660488 is a divisor of 1889⁶⁹⁹⁶⁰⁰ - 1.

Number of the day: 568861

Charles Babbage was born on this day 225 years ago.

Properties of the number 568861:

568861 = 619 × 919 is semiprime and squarefree.
568861 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 567324 totatives.
568861 has a semiprime digit sum 34 in base 10.
568861 has a Fibonacci digit sum 34 in base 10.
Reversing the decimal digits of 568861 results in an emirpimes.
568861 = 284431² - 284430² = 769² - 150² is the difference of 2 nonnegative squares in 2 ways.
568861 is the difference of 2 positive pentagonal numbers in 1 way.
568861 = 40² + 69² + 750² is the sum of 3 positive squares.
568861² is the sum of 3 positive squares.
568861 is a divisor of 367⁵⁴ - 1.
568861 is an emirpimes in (at least) the following bases: 2, 3, 6, 8, 10, 13, 18, 20, 24, 25, 27, 28, 41, 44, 47, 49, 55, 56, 61, 64, 65, 66, 72, 73, 76, 80, 81, 82, 83, 85, 88, 92, 93, and 94.
568861 is palindromic in (at least) base 96.

Number of the day: 219320

Properties of the number 219320:

219320 = 2³ × 5 × 5483 is the 199766^th composite number and is not squarefree.
219320 has 3 distinct prime factors, 16 divisors, 11 antidivisors and 87712 totatives.
219320 has an emirp digit sum 17 in base 10.
219320 = 54831² - 54829² = 27417² - 27413² = 10971² - 10961² = 5493² - 5473² is the difference of 2 nonnegative squares in 4 ways.
219320 is the difference of 2 positive pentagonal numbers in 2 ways.
219320 = 20² + 42² + 466² is the sum of 3 positive squares.
219320² = 131592² + 175456² is the sum of 2 positive squares in 1 way.
219320² is the sum of 3 positive squares.
219320 is a divisor of 241²⁷⁴¹ - 1.
219320 is palindromic in (at least) base -93.