Properties of the Number 21620

Twenty-One Thousand Six Hundred Twenty

Basics

Value: 21619 → 21620 → 21621

Parity: even

Prime: No

Previous Prime: 21617

Next Prime: 21647

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 23 × 47

Divisors: 1, 2, 4, 5, 10, 20, 23, 46, 47, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010001110100

Octal: 52164

Duodecimal: 10618

Hexadecimal: 5474

Square: 467424400

Square Root: 147.0374102057024

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 integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

a(n) = 5·binomial(11·n+5,n)/(11·n+5). A234871

Numbers that are the sum of six fourth powers in five or more ways. A345562

Numbers that are the sum of six fourth powers in exactly five ways. A345817

a(n) = n + (n-1)*(n-2) + (n-3)*(n-4)*(n-5) + (n-6)*(n-7)*(n-8)*(n-9) + ... + ...*(n-n). A227363

Triangle of coefficients of Gaussian polynomials [2n+5,5]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=5n. A267485

Sum T(n,k) of the k-th last entries in all blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A286897

Anagraprod Integers. Integers N that reproduce their multiset of digits when all the products of two successive digits of N are done (and considered together). A296451

Numbers k such that sopfr(k + ω(k)) = sopfr(k), where sopfr(i) = A001414(i) and ω(i) = A001221(i). A187878

Number of distinct hook length sets of partitions of n. A301512