Properties of the Number 82180

Eighty-Two Thousand One Hundred Eighty

Basics

Value: 82179 → 82180 → 82181

Parity: even

Prime: No

Previous Prime: 82171

Next Prime: 82183

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 7 × 587

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000100000100

Octal: 240404

Duodecimal: 3B684

Hexadecimal: 14104

Square: 6753552400

Square Root: 286.6705426094561

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 p = a(n) such that p divided by (n-1)! is equal to the average number of elements of partition sets of n elements excluding sets with a singleton. A233744

Triangle read by rows: T(n,k) divided by (n-k+1)! is the expected value of number of possible subsets in a partition of a set of n elements with no subsets of cardinality smaller than k. A256589

Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive). A74814

Composite integers k such that binomial(2·k, k) == 2 (mod k). A82180

G.f. A(x) satisfies: [x^n-1] (1+x)^n² / A(x)ⁿ = 0 for n>1. A303060

G.f. A(x) satisfies: [x^n-1] (1+x)^n*(n-1) / A(x)ⁿ = 0 for n>1. A303061