Number of the day: 13196

Properties of the number 13196:

13196 = 2² × 3299 is the 11625^th composite number and is not squarefree.
13196 has 2 distinct prime factors, 6 divisors, 7 antidivisors and 6596 totatives.
13196 has an oblong digit sum 20 in base 10.
Reversing the decimal digits of 13196 results in a semiprime.
13196 = 3300² - 3298² is the difference of 2 nonnegative squares in 1 way.
13196 is the difference of 2 positive pentagonal numbers in 1 way.
13196 = 14² + 30² + 110² is the sum of 3 positive squares.
13196² is the sum of 3 positive squares.
13196 is a proper divisor of 179³⁴ - 1.
13196 is palindromic in (at least) the following bases: 25, 32, 91, -8, -38, -42, and -79.
13196 in base 3 = 200002202 and consists of only the digits '0' and '2'.
13196 in base 12 = 7778 and consists of only the digits '7' and '8'.
13196 in base 25 = l2l and consists of only the digits '2' and 'l'.
13196 in base 32 = csc and consists of only the digits 'c' and 's'.

The number 13196 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A023621: Convolution of Lucas numbers and A000201.
A024532: a(n) = [ (3rd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.
A055291: Number of trees with n nodes and 4 leaves.
A104909: a(n) = A104908(n) - 10*A104863(n).
A117496: Numbers with no 1's in base 3 & 4 expansions.
A121718: Write 0, 1, ..., n in base 3 and add as if they were decimal numbers.
A224668: Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.
A253503: Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.
A258440: Number of squares of all sizes in polyominoes obtained by union of two bi-symmetric figures (A241526) with intersection equals A173196.
A272453: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 478", based on the 5-celled von Neumann neighborhood.