Properties of the Number 21600

Twenty-One Thousand Six Hundred

Basics

Value: 21599 → 21600 → 21601

Parity: even

Prime: No

Previous Prime: 21599

Next Prime: 21601

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010001100000

Octal: 52140

Duodecimal: 10600

Hexadecimal: 5460

Square: 466560000

Square Root: 146.9693845669907

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangle S(n,k) by rows: coefficients of 6^(n-1/2)*(x^1/6*d/dx)ⁿ when n is odd, and of 6^n/2*(x^5/6*d/dx)ⁿ when n is even. A223172

Strongly refactorable numbers: numbers n such that if n is divisible by d, it is divisible by the number of divisors of d. A141586

Powerful numbers that are the least integer of their prime signature. A181800

Numbers with an even number of prime factors (counted with multiplicity) that can be factored into squarefree semiprimes (A320911) but cannot be factored into distinct semiprimes (A320892). A320893

Numbers k such that ∑_j p_j = ∑_j e_j where ∏_j p_j^e_j is the prime factorization of k. A54411

Smaller central (median) divisor of n!. A60776

Numbers of form 6ⁱ*10^j with i, j >= 0. A25629

Number of trees of diameter 4. A94

The sum of the two numbers in an amicable pair, A002025(n) + A002046(n). A180164

Triangular array of coefficients of polynomials p(n,k) defined in Comments. A248664