Number of the day: 16872

Alfred Tarski was born on this day 118 years ago.

Properties of the number 16872:

16872 = 2³ × 3 × 19 × 37 is the 14926^th composite number and is not squarefree.
16872 has 4 distinct prime factors, 32 divisors, 15 antidivisors and 5184 totatives.
Reversing the decimal digits of 16872 results in a sphenic number.
16872 = 4219² - 4217² = 2111² - 2107² = 1409² - 1403² = 709² - 697² = 241² - 203² = 151² - 77² = 149² - 73² = 131² - 17² is the difference of 2 nonnegative squares in 8 ways.
16872 is the sum of 2 positive triangular numbers.
16872 = 26² + 64² + 110² is the sum of 3 positive squares.
16872² = 5472² + 15960² is the sum of 2 positive squares in 1 way.
16872² is the sum of 3 positive squares.
16872 is a proper divisor of 1481² - 1.
16872 is palindromic in (at least) the following bases: 26, and -27.
16872 in base 26 = ooo and consists of only the digit 'o'.
16872 in base 31 = hh8 and consists of only the digits '8' and 'h'.
16872 in base 37 = CC0 and consists of only the digits '0' and 'C'.

The number 16872 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A007290: a(n) = 2*binomial(n,3).
A064200: a(n) = 12*n*(n-1).
A127919: 1/3 of product of three numbers: the n-th prime, the previous number and the following number.
A157266: a(n) = 1728*n - 408.
A168061: Denominator of (n+3) / ((n+2) * (n+1) * n).
A195557: Numerators b(n) of Pythagorean approximations b(n)/a(n) to 1/3.
A195616: Denominators a(n) of Pythagorean approximations b(n)/a(n) to 3.
A208287: T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically
A240735: Floor(6^n/(3+sqrt(3))^n).
A263466: Least k such that prime(n) is the smallest prime p for which k^2 + p^2 is also prime, or 0 if none.