Properties of the Number 58680

Fifty-Eight Thousand Six Hundred Eighty

Basics

Value: 58679 → 58680 → 58681

Parity: even

Prime: No

Previous Prime: 58679

Next Prime: 58687

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 163

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110010100111000

Octal: 162470

Duodecimal: 29B60

Hexadecimal: e538

Square: 3443342400

Square Root: 242.23955085823619

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

Number of 4-line partitions of n (i.e., planar partitions of n with at most 4 lines). A2799

Numbers n such that sum of digits of n equals the sum of digits of n³. A70276

E.g.f.: ∏_k>=1 1/(1 - x^3·k-2/(3·k-2)). A326756

Numbers k such that the sums of the digits of k, k² and k³ coincide. A111434

The number of symmetric positive definite 2 X 2 matrices whose entries are integers of absolute value at most n. A219693

Number of maximal cliques in the n-polygon diagonal intersection graph. A291949

Number of permutations of floor(i·6/5), i=0..n-1, with all sums of two adjacent terms unique. A147919

a(n) = C(n+3,3) * C(n+5,5). A105946

McKay-Thompson series of class 44a for Monster. A58680