Properties of the Number 10080

Ten Thousand Eighty

Basics

Value: 10079 → 10080 → 10081

Parity: even

Prime: No

Previous Prime: 10079

Next Prime: 10091

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5 × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011101100000

Octal: 23540

Duodecimal: 5A00

Hexadecimal: 2760

Square: 101606400

Square Root: 100.39920318408906

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

Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record. A2182

Superabundant [or super-abundant] numbers: n such that σ(n)/n > σ(m)/m for all m < n, σ(n) being A000203(n), the sum of the divisors of n. A4394

The minimal numbers: sequence A005179 arranged in increasing order. A7416

Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere. A35008

a(0) = 0; a(n) = 2·n! (n >= 1). A52849

Highly factorable numbers: numbers with a record number of proper factorizations. A33833

a(n+1) = a(n)/n if n∣a(n) else a(n)*n, a(1) = 1. A8336

Number of n-step closed paths on hexagonal lattice. A2898

Smallest number k such that the symmetric representation of σ(k) has at least one part of width n. A250070

Number triangle T(n,k) = C(n,n-k)*C(n+1,n-k). A103371