Properties of the Number 88110

Eighty-Eight Thousand One Hundred Ten

Basics

Value: 88109 → 88110 → 88111

Parity: even

Prime: No

Previous Prime: 88093

Next Prime: 88117

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 11 × 89

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101100000101110

Octal: 254056

Duodecimal: 42BA6

Hexadecimal: 1582e

Square: 7763372100

Square Root: 296.83328654313686

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

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219852

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=12. A135197

Least number k for which primepi(prime(k+1)/2) - primepi(prime(k)/2) = n. A215237

a(n) = n*(2·n + 1)*(4·n + 1). A316224

Number of irreducible representations of the symmetric group S_n that have even degree. A60368

Number of 3-step self-avoiding walks on an n X n X n cube summed over all starting positions. A187164

Number of set partitions of [n] with maximal block length multiplicity equal to four. A271733

a(n) = (n+1)*(n+2)²*(n+3)²*(n+4)*(n² + 5·n + 5)/720. A107959

Number of nX7 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX7 array. A219851

Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array. A219855