Properties of the Number 75460

Seventy-Five Thousand Four Hundred Sixty

Basics

Value: 75459 → 75460 → 75461

Parity: even

Prime: No

Previous Prime: 75437

Next Prime: 75479

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 7 ³ × 11

Divisors: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010011011000100

Octal: 223304

Duodecimal: 37804

Hexadecimal: 126c4

Square: 5694211600

Square Root: 274.69983618488016

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

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^k³. A343323

Numbers k such that φ(k)*σ(k) is a cube. A114077

a(n) = n*(n-1)³*(n²-n-1)/2. A101384

Triangle read by rows: T(n, m) = number of painted forests on labeled vertex set [n] with m trees. Also number of painted forests with exactly n - m edges. A106834

a(n) = binomial(n+9, 9)*7ⁿ. A197192

Odd primitive numbers such that n! divided by product of factorials of all proper divisors of n is not an integer. A75460

Number of (n+2)X(1+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. A252877