Properties of the Number 13240

Thirteen Thousand Two Hundred Forty

Basics

Value: 13239 → 13240 → 13241

Parity: even

Prime: No

Previous Prime: 13229

Next Prime: 13241

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 331

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 331, 662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001110111000

Octal: 31670

Duodecimal: 77B4

Hexadecimal: 33b8

Square: 175297600

Square Root: 115.06519890914021

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

Coordination sequence for "tea" 3D uniform tiling. A299285

Number of polyaboloes (or polytans): number of different shapes that can be formed with n congruent isosceles right triangles, identifying mirror images. A6074

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+2,3). A344203

Numbers k such that k + σ(k) + φ(k) is a square. A116009

Expansion of η(q⁴) * η(q²⁸) / (η(q) * η(q⁷)) in powers of q. A123648

a(n) = ∑_{j=0..floor(n/2)} T(2·j + q), where T(n) are generalized tribonacci numbers (A001644) and q = n - 2·floor(n/2). A74475

a(n) = A004061(n) - 1. A86123

Fourth diagonal (m=3) of triangle A084938; a(n) = A084938(n+3,n) = (n³ + 9·n² + 26·n)/6. A92286

Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m. A175356

Numbers whose digits are a permutation of (0,...,m) for some m. A199168