Properties of the Number 24720

Twenty-Four Thousand Seven Hundred Twenty

Basics

Value: 24719 → 24720 → 24721

Parity: even

Prime: No

Previous Prime: 24709

Next Prime: 24733

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 103

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: 110000010010000

Octal: 60220

Duodecimal: 12380

Hexadecimal: 6090

Square: 611078400

Square Root: 157.22595205626837

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

E.g.f. satisfies: A(x) = exp( x * (1 + 1/A(x))/2 ). A349719

Total sum of repeated parts in all partitions of n. A194544

Array read by antidiagonals: T(n,k) is the number of k-tuples of permutations of [n] that pairwise commute. A362827

Number of edges in the hyperoctahedral (or cocktail party) graph of order n. A368757

Coefficient array of numerator polynomials of the ordinary generating functions for the alternating sums of powers for the numbers 1,2,...,2·n+1. A196848

4·a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n). A340923

a(n) = (n!)²*∑_k=1..n 1/k!. A61573

T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in i..i+k and no value appearing more than 1 time. A248944

Sequence shifts left six places under Weigh transform with a(n) = signum(n) for n<6. A316078

Solution to the Dancing School Problem with 7 girls and n+7 boys: f(7,n). A79912