Properties of the Number 72408

Seventy-Two Thousand Four Hundred Eight

Basics

Value: 72407 → 72408 → 72409

Parity: even

Prime: No

Previous Prime: 72383

Next Prime: 72421

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 431

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101011011000

Octal: 215330

Duodecimal: 35AA0

Hexadecimal: 11ad8

Square: 5242918464

Square Root: 269.0873464137621

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

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+5,6). A344206

T(n, m) = (n+m+1)!*m!/(n+1)! + (2·n-m+1)!*(n-m)!/(n+1)! - (2·n+1)!/(n+1). A174923

Least number > 1 which equals n-th power of the sum of its digits in decimal base. A72408

Molien series for complete weight enumerators of Euclidean self-dual codes over the Galois ring GR(4,2). A99720