Properties of the Number 58640

Fifty-Eight Thousand Six Hundred Forty

Basics

Value: 58639 → 58640 → 58641

Parity: even

Prime: No

Previous Prime: 58631

Next Prime: 58657

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 × 733

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1110010100010000

Octal: 162420

Duodecimal: 29B28

Hexadecimal: e510

Square: 3438649600

Square Root: 242.15697388264496

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

G.f.: A(x) = exp( ∑_n>=1 A000172(n)ⁿ*xⁿ/n ) where Franel number A000172(n) = ∑_k=0..n C(n,k)³. A216354

a(n) = n·n! * b(n), where b(n) = ((n-1)*(n-3)*b(n-1) - b(n-2) + b(n-3))/(n*(n - 1)) and b(0) = b(1) = 1, b(2) = -1. A158802

Number of n X n binary matrices with every 1 having at most 3 adjacent 1's. A68472

McKay-Thompson series of class 35A for Monster. A58640

a(n) = A000172(n)ⁿ, where A000172(n) = ∑_k=0..n binomial(n,k)³ forms the Franel numbers. A225601