Properties of the Number 10980

Ten Thousand Nine Hundred Eighty

Basics

Value: 10979 → 10980 → 10981

Parity: even

Prime: No

Previous Prime: 10979

Next Prime: 10987

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 61

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011100100

Octal: 25344

Duodecimal: 6430

Hexadecimal: 2ae4

Square: 120560400

Square Root: 104.78549517943789

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of 1/((1-x)²*∏_k>=1 (1-x^k)). A14153

Number of hexagonal regions in regular n-gon with all diagonals drawn. A67153

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=8. A135193

Smallest number having exactly n divisors that are not greater than the number's greatest prime factor. A87134

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8. A252015

Numbers k such that k + the reversal of k is a square. A61230

Number A(n,k) of 2-colorings of a k X n rectangle such that no nontrivial subsquare has monochromatic corners; square array A(n,k), n>=0, k>=0, read by antidiagonals. A255256

First element of the first maximal isospectral chain of length n. A330849

Numbers that are the sum of ten fourth powers in exactly ten ways. A345862

Expansion of r(q⁴) / r(q)⁴ in powers of q where r() is the Rogers-Ramanujan continued fraction. A285584