Properties of the Number 20076

Twenty Thousand Seventy-Six

Basics

Value: 20075 → 20076 → 20077

Parity: even

Prime: No

Previous Prime: 20071

Next Prime: 20089

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 239

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111001101100

Octal: 47154

Duodecimal: B750

Hexadecimal: 4e6c

Square: 403045776

Square Root: 141.6898020324681

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(0)=1, for n>=1 a(n) = ∑_k=0..n 5^k*N(n,k) where N(n,k) = C(n,k)*C(n,k+1)/n are the Narayana numbers (A001263). A78009

Expansion of ∏_k>=1 1/(1 - k·x^k)^k². A285241

Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible). A1977

a(n) = N(6,n), where N(6,x) is the 6th Narayana polynomial. A90199

Triangle derived from an array of f(x), Narayana polynomials. A204057

a(n) = (1/n) * ∑_k=0..n-1 C(n,k) * C(n,k+1) * (n-1)^k. A99169

Series reversion of x/(1+6x+5x²). A127848

Number of reduced 3 X 3 magilatin squares with largest entry n. A174018

Expansion of 1/(1 - x) * ∏_k>=0 1/(1 - x^{4^k})^{4^(k+1}). A321345

G.f.: Product((1+xⁱ)/(1-xⁱ),i=1..n-1)/(1-xⁿ), with n = 5. A91773