Properties of the Number 21340

Twenty-One Thousand Three Hundred Forty

Basics

Value: 21339 → 21340 → 21341

Parity: even

Prime: No

Previous Prime: 21323

Next Prime: 21341

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 11 × 97

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001101011100

Octal: 51534

Duodecimal: 10424

Hexadecimal: 535c

Square: 455395600

Square Root: 146.08216865860118

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 compositions (ordered partitions) of n into distinct parts such that number of parts is even. A332305

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) is not a part of p. A241761

Row sums of the triangular array at A249057. A249059

Total number of sequences with p_j copies of j and longest increasing subsequence of length k summed over all partitions [p₁, p₂, ..., p_k] of n into distinct parts. A268700

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers). A24598

Denominators of continued fraction convergents to sqrt(486). A41927

a(n) = n*(8·n² + 1)/3. A143166

a(n) = 4·n*(4·n² + 1). A144965

Number of (w,x,y,z) with all terms in {1,...,n} and 2∣w-x|>=n+|y-z|. A212688

Triangle where the g.f. of row n is: ∑_k=0..n²-n+1 T(n,k)*y^k = (2*(1+y)ⁿ - 1) * ((1+y)ⁿ - 1)^n-1 / y^n-1, as read by rows. A220265