Properties of the Number 11638

Eleven Thousand Six Hundred Thirty-Eight

Basics

Value: 11637 → 11638 → 11639

Parity: even

Prime: No

Previous Prime: 11633

Next Prime: 11657

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 × 23 ²

Divisors: 1, 2, 11, 22, 23, 46, 253, 506, 529, 1058

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110101110110

Octal: 26566

Duodecimal: 689A

Hexadecimal: 2d76

Square: 135443044

Square Root: 107.87956247593888

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

a(n) = n³ - n². A45991

Number of pairwise coprime strict compositions of n, where a singleton is not considered coprime unless it is (1). A337561

Number of partitions of n without three consecutive parts in arithmetic progression. A238424

a(n) = n² * φ(n). A53191

a(n) = a(n-1) + a(n-9) for n >= 9; a(n) = 1 for n=0..7; a(8) = 2. A5711

a(n) = binomial(n,3) - binomial(floor(n/2),3) - binomial(ceiling(n/2),3). A111384

a(n) = 22·n². A195323

Numbers n such that sopf(σ(n)) = σ(sopf(n)), where sopf(x) = sum of the distinct prime factors of x. A76532

Square array A(n, k) = φ(A246278(n, k)), read by falling antidiagonals; Euler totient function applied to the prime shift array. A379010

Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 2. A128672