Number of the day: 9136

Properties of the number 9136:

9136 = 2⁴ × 571 is the 8003^th composite number and is not squarefree.
9136 has 2 distinct prime factors, 10 divisors, 7 antidivisors and 4560 totatives.
9136 has a prime digit sum 19 in base 10.
Reversing the decimal digits of 9136 results in a semiprime.
9136 = 21³ - 5³ is the difference of 2 positive cubes in 1 way.
9136 = 2285² - 2283² = 1144² - 1140² = 575² - 567² is the difference of 2 nonnegative squares in 3 ways.
9136 is the sum of 2 positive triangular numbers.
9136 is the difference of 2 positive pentagonal numbers in 1 way.
9136 = 44² + 60² + 60² is the sum of 3 positive squares.
9136² is the sum of 3 positive squares.
9136 is a divisor of 1033⁶ - 1.
9136 = '913' + '6' is the concatenation of 2 semiprime numbers.
9136 = '91' + '36' is the concatenation of 2 triangular numbers.
9136 is palindromic in (at least) base 87.
9136 in base 26 = dda and consists of only the digits 'a' and 'd'.

The number 9136 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A028859: a(n+2) = 2*a(n+1) + 2*a(n).
A069178: Centered 21-gonal numbers.
A080882: a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=3, a(2)=7.
A155020: a(0)=1, a(1)=1, a(2)=3; a(n) = 2*a(n-1) + 2*a(n-2) for n>2.
A172141: Number of ways to place 2 nonattacking nightriders on an n X n board.
A226870: T(n,k)=Number of nXk (-1,0,1) arrays of determinants of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order
A229372: T(n,k)=Number of nXk 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally
A229380: T(n,k)=Number of nXk 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally
A229717: T(n,k)=Number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2, and no two consecutive rises or falls in the latter permutation
A241382: Number of partitions p of n such that the number of parts is a part and max(p) - min(p) is a part.