Properties of the Number 15660

Fifteen Thousand Six Hundred Sixty

Basics

Value: 15659 → 15660 → 15661

Parity: even

Prime: No

Previous Prime: 15649

Next Prime: 15661

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 29

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11110100101100

Octal: 36454

Duodecimal: 9090

Hexadecimal: 3d2c

Square: 245235600

Square Root: 125.13992168768526

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

Triangle T(n,k), 0 <= k <= n, read by rows defined by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 4·T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + 5·T(n-1,k) + T(n-1,k+1) for k >= 1. A126331

a(n) is the smallest integer k such that the Diophantine equation x³ + y³ + z³ = k³, where 0 < x <= y <= z has exactly n integer solutions. A377444

Number of skew partitions whose quotient diagram is connected and whose numerator has weight n. A300120

Product of the sum of the divisors of n and the sum of the divisors of n-th prime. A272173

Expansion of g.f. A(x) satisfying 1 = ∑_n=-oo..+oo xⁿ * (2·A(x) - (-x)ⁿ)^3·n-1. A361773

Number of binary strings of length n in which the number of substrings 00 is one more than that of substrings 01. A370048

a(n) = (1/24)*n*(n - 1)*(n - 3)*(n - 14). A319930

Composite numbers k such that k is a multiple of A276085(A003415(k)), where A003415 is the arithmetic derivative and A276085 is fully additive with a(p) = p#/p. A393049

Expansion of ∏_k>=1 (1-x^k)³⁰. A10835

Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction. A63436