Properties of the Number 60144

Sixty Thousand One Hundred Forty-Four

Basics

Value: 60143 → 60144 → 60145

Parity: even

Prime: No

Previous Prime: 60139

Next Prime: 60149

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 179

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101011110000

Octal: 165360

Duodecimal: 2A980

Hexadecimal: eaf0

Square: 3617300736

Square Root: 245.2427368955093

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

a(n) = Z(S_m; σ[1](n), σ[2](n),..., σ[m](n)) where Z(S_m; x₁,x₂,...,x_m) is the cycle index of the symmetric group S_m and σ[k](n) is the sum of k-th powers of divisors of n; m=3. A68020

Number of set partitions of {1..n} with block-medians summing to an integer. A361911

Row square-sums of triangle A096815. A212265

Integers k such that there exists an integer 0<m<k such that (1/σ(m)² + 1/σ(k)²)*(m+k)² = 1. A383964

a(n) = floor(n/(1+φ)), or equivalently floor(n/φ²), where φ is the golden ratio (A001622). A60144