Properties of the Number 10820

Ten Thousand Eight Hundred Twenty

Basics

Value: 10819 → 10820 → 10821

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 541

Divisors: 1, 2, 4, 5, 10, 20, 541, 1082, 2164, 2705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000100

Octal: 25104

Duodecimal: 6318

Hexadecimal: 2a44

Square: 117072400

Square Root: 104.01922899156675

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 n such that Bernoulli number B_n has denominator 330. A272183

Numbers n such that primorial(n)/2 + 4 is prime. A139439

Numbers m such that there are precisely 20 groups of order m. A298911

Number of chiral pairs of polyominoes composed of n tetrahedral cells of the hyperbolic regular tiling with Schläfli symbol {3,3,oo}. A371350

Number of minimal plane trees with n terminal nodes. A6241

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235258

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251923

T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once. A268798

G.f.: ∑_k>=0 x^k * ∏_j=1..3·k (1 + x^j). A385067

Aliquot sequence starting at 180. A8891