Properties of the Number 15200

Fifteen Thousand Two Hundred

Basics

Value: 15199 → 15200 → 15201

Parity: even

Prime: No

Previous Prime: 15199

Next Prime: 15217

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 19

Divisors: 1, 2, 4, 5, 8, 10, 16, 19, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11101101100000

Octal: 35540

Duodecimal: 8968

Hexadecimal: 3b60

Square: 231040000

Square Root: 123.28828005937953

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

Number of collections of nonempty multisets with a total of n objects having color set {1,...,k} for some k<=n. A255906

T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally or antidiagonally. A189111

Number of possible rook moves on an n X n chessboard. A35006

Rectangular table where column k equals row sums of matrix power A078122^k, read by antidiagonals. A125800

Numbers p⁵*q²*r where p, q, r are 3 distinct primes. A179691

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero. A316583

Column 4 of table A125800; also equals row sums of matrix power A078122⁴. A125802

Antidiagonal sums of the triangle A120070. A143785

Numbers with an equal number of deficient and abundant divisors. A335543

Expansion of g.f.: exp( ∑_n>=1 [∑_k=0..n C(n,k)^n+k * x^k] * xⁿ/n ). A181082