Properties of the Number 13520

Thirteen Thousand Five Hundred Twenty

Basics

Value: 13519 → 13520 → 13521

Parity: even

Prime: No

Previous Prime: 13513

Next Prime: 13523

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 13 ²

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011010000

Octal: 32320

Duodecimal: 79A8

Hexadecimal: 34d0

Square: 182790400

Square Root: 116.27553482998907

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

Norm of the sum of divisors function σ(n) generalized for Gaussian integers. A103230

a(n) = 20·n². A195322

T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2, and no two consecutive rises or falls in the latter permutation. A229717

Number of ways to place 2 nonattacking kings on an n X n toroidal board. A179403

Array T(n,k) counting words with n letters drawn from a k-letter alphabet with no letter appearing thrice in a 3-letter subword. A265584

Number of ways to place 2 nonattacking knights on an n X n toroidal board. A172529

Numbers n = concat(x,y) such that the product x·y | n. No leading zeros in y allowed. A255726

a(0) = 1, a(1) = 2; for n>1, a(n) = a(n-1) + a(n-2) + floor(n/2). A281362

Numbers n such that the sum of prime factors of n (counted with repetition) equals three times the largest prime divisor. A212861

Expansion of ∏_{i>=1, j>=1, k>=1} (1 - x^i·j*k)/(1 + x^i·j*k). A321241