Properties of the Number 15090

Fifteen Thousand Ninety

Basics

Value: 15089 → 15090 → 15091

Parity: even

Prime: No

Previous Prime: 15083

Next Prime: 15091

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 503

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 503, 1006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11101011110010

Octal: 35362

Duodecimal: 8896

Hexadecimal: 3af2

Square: 227708100

Square Root: 122.84136111261549

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

Expansion of χ(x) / φ(x²) in powers of·where φ(), χ() are Ramanujan θ functions. A85261

Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is a part. A241442

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = -2, a(1) = 1, a(2) = 0, a(3) = 1. A295860

Sum over all partitions of n into distinct parts of the bitwise OR of the parts. A306924

Taylor series related to one in Ramanujan's Lost Notebook. A6305

2·a(n) is the first of 5 consecutive even numbers that are sums of divisors, i.e., terms of A000203. A342560

Expansion of (5 - 9·x + 6·x²)/(1-x)⁴. A80957

Number of 3 X 3 matrices having all terms in {0,1,...,n} with |det| = 1. A279725

Multiples of 3018. A86746

The number of paths of length 7·n from the origin to the line y = 3·x/4 with unit east and north steps that stay below the line or touch it. A300390