Properties of the Number 70080

Seventy Thousand Eighty

Basics

Value: 70079 → 70080 → 70081

Parity: even

Prime: No

Previous Prime: 70079

Next Prime: 70099

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 73

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001000111000000

Octal: 210700

Duodecimal: 34680

Hexadecimal: 111c0

Square: 4911206400

Square Root: 264.72627372438876

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) = A001147(n+1) * Integral_x=0..1 (1 + x²)ⁿ dx. A76729

Coefficients in expansion of Eisenstein series q·E'_4. A145094

Q(1,n), where Q(m,k) is defined in A127080 and A127137. A127138

Expansion of e.g.f. 1/(1 - 2·x * cosh(x)). A352648

Expansion of (1-5·x)/((1-2·x)*(1-6·x)). A92803

Constant term of (normalized δ)^-n. A35025

Triangle read by rows, T(n, k) = [x^k](∑_k=0..n(-1)^n-k*Stirling2(n, k)*k!* x^k)², for 0 <= k <= 2n. A290696

Smallest side of integer triangles [a(n) <= A070081(n) <= A070082(n)], sorted by perimeter, lexicographically ordered. A70080

Seventh column (m=6) of (1,4)-Pascal triangle A095666. A95669

Triangle read by rows: T(n,k) is the number of sequences in which the games of a single-elimination tournament with n teams can be played if arbitrarily many arenas are available, the tournament bracket is chosen to the bracket with the largest such number of sequences, and the number of distinct times at which games are played is k, log₂(n) <= k <= n-1. A378855