Properties of the Number 10902

Ten Thousand Nine Hundred Two

Basics

Value: 10901 → 10902 → 10903

Parity: even

Prime: No

Previous Prime: 10891

Next Prime: 10903

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 23 × 79

Divisors: 1, 2, 3, 6, 23, 46, 69, 79, 138, 158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010010110

Octal: 25226

Duodecimal: 6386

Hexadecimal: 2a96

Square: 118853604

Square Root: 104.41264291262816

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

Numbers that are the sum of 3 positive 5th powers. A3348

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3). A24312

a(n) = binomial(n,4) + binomial(n,2). A55795

Number T(n,k) of compositions of n into distinct parts where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order and all k letters occur at least once in the composition; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A261836

Expansion of f(-x⁴, -x¹⁶) / ψ(-x) in powers of·where ψ() is a Ramanujan θ function and f(, ) is Ramanujan's general θ function. A122130

G.f.: ∏_{i>=1, j>=1, k>=1, l>=1} (1 + x^i·j*k·l). A280486

Expansion of x*(1 - 2·x + x² + 7·x³ - x⁴)/((1 - x)⁴*(1 + x)³). A292551

Subdiagonal of array of n-gonal numbers A081422. A81423

Numbers that are the sum of three positive fifth powers in exactly one way. A344641

a(n) = C(n,a)+C(n,b)+C(n,c)... where n = abc... are the decimal digits of n. A111696