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Properties of the Number 27820

Twenty-Seven Thousand Eight Hundred Twenty

Basics

Value: 27819 → 27820 → 27821

Parity: even

Prime: No

Previous Prime: 27817

Next Prime: 27823

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 2 × 5 × 13 × 107

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110010101100

Octal: 66254

Duodecimal: 14124

Hexadecimal: 6cac

Square: 773952400

Square Root: 166.7932852365466

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 odd parts. A32021
Number T(n,k) of sets of n words of length n over binary alphabet where the first letter occurs k times; triangle T(n,k), n>=0, n-signum(n)<=k<=n*(n-1)+signum(n), read by rows. A360693
a(n) is the greatest integer k such that k/Fibonacci(n) < 3/5. A293642
a(n)/A002939(n+1) is the Kirchhoff index of the join of the disjoint union of two complete graphs on n vertices with the empty graph on n+1 vertices. A338109
Numbers k such that φ(4k-1) = σ(k). A67235
Structured snub dodecahedral numbers. A100151
a(n) = n*(n+1)*(15·n2-n-8)/12. A172047
Number of (n+1) X 5 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204647
Number of length n+1 0..3 arrays with at most one downstep in every n consecutive neighbor pairs. A258731
Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 758", based on the 5-celled von Neumann neighborhood. A273490