Properties of the Number -21450

Twenty-One Thousand Four Hundred Fifty

Basics

Value: -21451 → -21450 → -21449

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 ² × 11 × 13

Divisors: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101001111001010

Octal: -51712

Duodecimal: -104B6

Hexadecimal: -53ca

Square: 460102500

Square Root: 146.4581851587681

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Heinz numbers of integer partitions with as many even parts as odd conjugate parts and as many odd parts as even conjugate parts. A351980

a(n) = ∑_k=1..n lcm(n,k). A51193

Highest degree of an irreducible representation of symmetric group S_n of degree n. A3040

Number T(n,k) of solid standard Young tableaux of shape [[n,k],[n-k]]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A214775

Eighth column (m=7) of (1,6)-Pascal triangle A096956. A97298

Triangle, read by rows, where T(n,k) equals the number of permutations of {1..n+1} with [(nk+k)/2] inversions for n>=k>=0. A128564

Positions of 3's in A234323. A234804

Degrees of irreducible representations of symmetric group S₁₃. A3877

a(n) = (3·n+4)*binomial(n+7, 7)/4. A54487