Number of the day: 2692

John von Neumann was born on this day 117 years ago.

Properties of the number 2692:

2692 is the 714^th totient number.
2692 = 2² × 673 is the 2300^th composite number and is not squarefree.
2692 has 2 distinct prime factors, 6 divisors, 9 antidivisors and 1344 totatives.
2692 has a prime digit sum 19 in base 10.
2692 has sum of divisors equal to 4718 which is a sphenic number.
Reversing the decimal digits of 2692 results in a semiprime.
2692 = 674² - 672² is the difference of 2 nonnegative squares in 1 way.
2692 is the sum of 2 positive triangular numbers.
2692 is the difference of 2 positive pentagonal numbers in 1 way.
2692 = 24² + 46² is the sum of 2 positive squares in 1 way.
2692 = 8² + 18² + 48² is the sum of 3 positive squares.
2692² = 1540² + 2208² is the sum of 2 positive squares in 1 way.
2692² is the sum of 3 positive squares.
2692 is a proper divisor of 1601³ - 1.
2692 = '269' + '2' is the concatenation of 2 prime numbers.
2692 is palindromic in (at least) the following bases: 3, 24, 39, -28, and -69.
2692 in base 24 = 4g4 and consists of only the digits '4' and 'g'.
2692 in base 36 = 22s and consists of only the digits '2' and 's'.
2692 in base 38 = 1WW and consists of only the digits '1' and 'W'.
2692 in base 39 = 1U1 and consists of only the digits '1' and 'U'.
2692 in base 51 = 11e and consists of only the digits '1' and 'e'.

The number 2692 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008137: Coordination sequence T1 for Zeolite Code LTA and RHO.
A018846: Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals).
A133524: Sum of squares of four consecutive primes.
A179186: Numbers n such that phi(n) = phi(n+4), with Euler's totient function phi=A000010.
A216451: Numbers which are simultaneously of the form x^2+y^2, x^2+2y^2, x^2+3y^2, x^2+7y^2, all with x>0, y>0.
A224133: T(n,k)=Number of nXk 0..1 arrays with rows nondecreasing and antidiagonals unimodal
A238779: Number of palindromic partitions of n with greatest part of multiplicity 2.
A269606: T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by one or less.
A281400: T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
A327244: Number T(n,k) of colored compositions of n using all colors of a k-set such that all parts have different color patterns and the patterns for parts i are sorted and have i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows.