Properties of the Number 56980

Fifty-Six Thousand Nine Hundred Eighty

Basics

Value: 56979 → 56980 → 56981

Parity: even

Prime: No

Previous Prime: 56963

Next Prime: 56983

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 7 × 11 × 37

Divisors: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111010010100

Octal: 157224

Duodecimal: 28B84

Hexadecimal: de94

Square: 3246720400

Square Root: 238.70483866063546

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

Triangle T(n,k) of associated Stirling numbers of second kind, n >= 2, 1 <= k <= floor(n/2). A8299

Triangle of Ward numbers T(n,k) read by rows. A134991

Structured rhombic dodecahedral numbers (vertex structure 9). A100157

Triangle read by rows, Ward numbers T(n, k) = ∑_m=0..k (-1)^{m + k} * binomial(n + k, n + m) * Stirling2(n + m, m), for n >= 0, 0 <= k <= n. A269939

Number of ways of placing n labeled balls into 4 indistinguishable boxes with at least 2 balls in each box. A58844

Coefficient of x² in the polynomial (x-p(n))*(x-p(n+1))*(x-p(n+2))*(x-p(n+3)), where p(k) is the k-th prime. A127348

Triangle read by rows, T(n,k) = (-1)^k*{{n,k}} where {{n,k}} are the second-order Stirling set numbers, n>=0, 0<=k<=n/2. A137375

Triangle of Ward numbers T(n,k) (n>=0, k=0 if n=0, otherwise 0 <= k <= n-1) read by rows. A181996

Doubly square pyramidal numbers. A329753

Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, in the Farey Ring graph FR(n) defined in A359116. A359119