Properties of the Number 27680

Twenty-Seven Thousand Six Hundred Eighty

Basics

Value: 27679 → 27680 → 27681

Parity: even

Prime: No

Previous Prime: 27673

Next Prime: 27689

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 5 × 173

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110000100000

Octal: 66040

Duodecimal: 14028

Hexadecimal: 6c20

Square: 766182400

Square Root: 166.37307474468338

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

Expansion of ∏_k>=2 1/(1 - x^k)^bigomega(k), where bigomega(k) is the number of prime divisors of k counted with multiplicity (A001222). A293549

Square array, read by antidiagonals, used to recursively calculate the number of minimax trees A080795. A185420

Number of undirected circular permutations i₀, i₁, ..., i_n of 0, 1, ..., n such that all the 2·n+2 numbers |i₀ +/- i₁|, |i₁ +/- i₂|, ..., |i_n-1 +/- i_n|, |i_n +/- i₀| have the form (p-1)/2 with p an odd prime. A228956

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k hills (a hill is either a ud or a Udd starting at the x-axis). A108431

Expansion of log(1 + sin(x)²). A9344

a(n) = floor((n + 1/2)⁶). A219089

Number of triangles a queen can make (starting anywhere) on an n X n board. A30117

a(n) = floor(11ⁿ/2ⁿ). A94972

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 83. A31581

Number of independent subsets of 5ⁿ cube (P₅ X ... X P₅). A27680