Properties of the Number 21370

Twenty-One Thousand Three Hundred Seventy

Basics

Value: 21369 → 21370 → 21371

Parity: even

Prime: No

Previous Prime: 21347

Next Prime: 21377

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 2137

Divisors: 1, 2, 5, 10, 2137, 4274, 10685, 21370

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001101111010

Octal: 51572

Duodecimal: 1044A

Hexadecimal: 537a

Square: 456676900

Square Root: 146.18481453283715

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 distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways giving result f(0)=1, with conventions that 0⁰=1⁰=1¹=1, 0¹=0. A222380

Maximum number of partitions of n into exactly k parts, each <= k. a(n) is maximum in each row of A157044. A157046

Number of partitions of 1 into up to n powers of 1/2. A173404

G.f. satisfies: A(x) = A(x² + 2·x³)/(1-x). A251581

Expansion of 1/((1-x)*(1-2·x²)*(1-3·x³)). A291986

The number of permutations of length n in a particular geometric grid class. A226433

Number of integer solutions (a₁, a₂, ... , a₈) to the equation a₁² + 2·a₂² + ... + 8·a₈² = 3·n. A320243

G.f. is (1-S)/(1+S), where S = g.f. for A000084. A58756

Number of odd parts in the partitions of n into 9 parts. A309656

Number of permutations of length n which avoid the patterns 1234, 1243, 2431. A116840