Properties of the Number 76160

Seventy-Six Thousand One Hundred Sixty

Basics

Value: 76159 → 76160 → 76161

Parity: even

Prime: No

Previous Prime: 76159

Next Prime: 76163

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 5 × 7 × 17

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100110000000

Octal: 224600

Duodecimal: 380A8

Hexadecimal: 12980

Square: 5800345600

Square Root: 275.9710129705654

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 subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor. A84422

a(n) = n*(n+1)*(11·n +10)/6. A254407

Numbers with prime factorization pqrs⁷. A190473

a(n) = ∑_{0 < x,y,z <= n and gcd(x² + y² + z², n)=1} gcd(x² + y² + z² - 1, n). A239612

a(n) = 2*(n+1)*binomial(n+2,4). A27777

a(n) is the number of subsets of {1..n} that contain exactly 2 odd and 3 even numbers. A330300

Expansion of e.g.f. 1/(1 - x·exp(x³/6)). A358265

Numbers·such that there exist two integers 0<x<=y and z>0 such that σ(x)² = σ(y)² = x² + y² + z². A385356

Denominators of r(n) := ∑_k=0..n-1 1/∏_j=0..4 (k + j + 1), for n >= 0, with r(0) = 0. A300299

Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)). A304410