### Properties of the number 10956:

10956 = 2^{2}× 3 × 11 × 83 is the 9625

^{th}composite number and is not squarefree.

10956 has 4 distinct prime factors, 24 divisors, 9 antidivisors and 3280 totatives.

10956 has a semiprime digit sum 21 in base 10.

10956 has a Fibonacci digit sum 21 in base 10.

10956 has a triangular digit sum 21 in base 10.

Reversing the decimal digits of 10956 results in a sphenic number.

10956 = 1

^{3}+ 16

^{3}+ 19

^{3}is the sum of 3 positive cubes in 1 way.

10956 = 2740

^{2}- 2738

^{2}= 916

^{2}- 910

^{2}= 260

^{2}- 238

^{2}= 116

^{2}- 50

^{2}is the difference of 2 nonnegative squares in 4 ways.

10956 is the sum of 2 positive triangular numbers.

10956 is the difference of 2 positive pentagonal numbers in 1 way.

10956 = 34

^{2}+ 70

^{2}+ 70

^{2}is the sum of 3 positive squares.

10956

^{2}is the sum of 3 positive squares.

10956 is a proper divisor of 331

^{2}- 1.

10956 is palindromic in (at least) base -47.

10956 in base 39 = 77a and consists of only the digits '7' and 'a'.

10956 in base 46 = 588 and consists of only the digits '5' and '8'.

### The number 10956 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A106455: Sequence A106456 interpreted as binary numbers and converted to decimal.

A111533: Row 6 of table A111528.

A114939: Number of essentially different seating arrangements for n couples around a circular table with 2n seats avoiding spouses being neighbors and avoiding clusters of 3 persons with equal gender.

A123862: Expansion of f(q)*f(q^7)/(f(-q)*f(-q^7)) in powers of q where f() is a Ramanujan theta function.

A133242: Indices n such that A134204(n) < n.

A210860: Triangle of coefficients of polynomials u(n,x) jointly generated with A210861; see the Formula section of A210861.

A213818: Antidiagonal sums of the convolution array A213773.

A232137: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order

A281864: Number of sets of exactly four positive integers <= n having a square element sum.

A289227: Number of ways to select 6 disjoint point triples from an n X n X n triangular point grid, each point triple forming a 2 X 2 X 2 triangle.

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