Properties of the Number 75200

Seventy-Five Thousand Two Hundred

Basics

Value: 75199 → 75200 → 75201

Parity: even

Prime: No

Previous Prime: 75193

Next Prime: 75209

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 5 ² × 47

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010010111000000

Octal: 222700

Duodecimal: 37628

Hexadecimal: 125c0

Square: 5655040000

Square Root: 274.22618401604177

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 partitions of n having positive even rank (the rank of a partition is the largest part minus the number of parts). A101708

Numbers whose prime indices and prime signature have the same mean. A359903

Number of n-digit 7th powers. A216657

Expansion of e.g.f. exp(x) * log(1+x)/(1-x). A73590

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011. A259722

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (1, -1, 1), (1, 0, 1), (1, 1, -1), (1, 1, 0)}. A150885

Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011. A259715

Number of polyominoes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion). A75200

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 or 00000011. A259723