Number of the day: 10956

Properties of the number 10956:

10956 = 2² × 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 = 1³ + 16³ + 19³ is the sum of 3 positive cubes in 1 way.
10956 = 2740² - 2738² = 916² - 910² = 260² - 238² = 116² - 50² 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 = 34² + 70² + 70² is the sum of 3 positive squares.
10956² is the sum of 3 positive squares.
10956 is a proper divisor of 331² - 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.