Properties of the Number 23140

Twenty-Three Thousand One Hundred Forty

Basics

Value: 23139 → 23140 → 23141

Parity: even

Prime: No

Previous Prime: 23131

Next Prime: 23143

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 13 × 89

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101001100100

Octal: 55144

Duodecimal: 11484

Hexadecimal: 5a64

Square: 535459600

Square Root: 152.11837495845134

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 (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,1 -1,2 1,0 or 0,-1. A264550

Expansion of 1/∑_k>=0 x^k². A317665

Expansion of ∏_k>=1 (1 + 4·x^k). A261568

∑_k<=n (σ(k)²), where σ(k) denotes the sum of the divisors of k A000203. A72379

a(n) is the smallest number which can be represented as the sum of 6 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists. A375330

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + n - 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294557

Number of weight-n binary n X n matrices that yield the all-ones matrix after repeatedly changing a 0 having at least two 1-neighbors to a 1. A146971

Numbers m such that there exists a j for which m = ∑_k=1..j (m mod k), where k runs through the largest j primes less than m. A274422

Round(1000·x), where·is the solution to x = 3^n-x. A103537

Number of (n+1) X (4+1) arrays of permutations of 0..n·5+4 with each element having directed index change -1,1 -1,2 1,0 or 0,-1. A264546