Number of the day: 12768

Properties of the number 12768:

12768 is the 2976^th totient number.
12768 = 2⁵ × 3 × 7 × 19 is the 11244^th composite number and is not squarefree.
12768 has 4 distinct prime factors, 48 divisors, 9 antidivisors and 3456 totatives.
Reversing the decimal digits of 12768 results in a sphenic number.
12768 is the difference of 2 nonnegative squares in 16 ways.
12768 = 8² + 52² + 100² is the sum of 3 positive squares.
12768² is the sum of 3 positive squares.
12768 is a proper divisor of 113² - 1.
12768 is palindromic in (at least) the following bases: 15, -40, and -69.
12768 in base 15 = 3bb3 and consists of only the digits '3' and 'b'.
12768 in base 23 = 1133 and consists of only the digits '1' and '3'.
12768 in base 39 = 8FF and consists of only the digits '8' and 'F'.
12768 in base 50 = 55I and consists of only the digits '5' and 'I'.
12768 in base 56 = 440 and consists of only the digits '0' and '4'.

The number 12768 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A020342: Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.
A046763: Numbers n such that the sum of the cubes of the divisors of n is divisible by n.
A059283: Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back.
A071943: Triangle T(n,k) (n>=0, 0 <= k <= n) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R=(1,0), V=(0,1) and D=(1,2).
A084920: a(n) = (prime(n)-1)*(prime(n)+1).
A101135: a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.
A101427: Number of different cuboids with volume (pq)^n, where p,q are distinct prime numbers.
A139041: Sum of divisors of the number of partitions of n.
A152751: 3 times octagonal numbers: 3*n*(3*n-2).
A187238: Numbers divisible by at least four of their digits, different and >1.