Properties of the Number 60120

Sixty Thousand One Hundred Twenty

Basics

Value: 60119 → 60120 → 60121

Parity: even

Prime: No

Previous Prime: 60107

Next Prime: 60127

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 167

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101011011000

Octal: 165330

Duodecimal: 2A960

Hexadecimal: ead8

Square: 3614414400

Square Root: 245.1938009004306

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 length n inversion sequences avoiding the patterns 110 and 120. A279570

a(0) = 1, a(n) = number obtained by multiplying each digit of a(n-1) by n. May be called digitfactorial of n. A89718

Expansion of 1/(1-x²-x³+x⁷-x⁸+x¹⁰). A174577

Number of -n..n arrays x(0..2) of 3 elements with zeroth through 2nd differences all nonzero. A199944

Number of 0..5 arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0. A221680

Number of partitions of n into parts not of the form 25k, 25k+7 or 25k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 11 are greater than 1. A36006

Positions of permutations of A060118 in the canonical permutation list A055089. A60120

T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0. A221683