Properties of the Number 28170

Twenty-Eight Thousand One Hundred Seventy

Basics

Value: 28169 → 28170 → 28171

Parity: even

Prime: No

Previous Prime: 28163

Next Prime: 28181

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 313

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 110111000001010

Octal: 67012

Duodecimal: 14376

Hexadecimal: 6e0a

Square: 793548900

Square Root: 167.83920876839238

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

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). A234712

n for which floor((3/2)ⁿ) is prime. A70759

Expansion of ∏_k>=1 1/(1 - x^k)^3·k*(k-1/2+1). A295179

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). A234706

Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). A234707

Number of compositions of n into Fibonacci number of parts. A103197

Triangle read by rows: T(n,k) = 6·binomial(n,k) - 5 for 0 <= k <= n. A131065

Expansion of 1/((1-5x)(1-6x)(1-8x)(1-9x)). A28170