Properties of the Number 27800

Twenty-Seven Thousand Eight Hundred

Basics

Value: 27799 → 27800 → 27801

Parity: even

Prime: No

Previous Prime: 27799

Next Prime: 27803

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 ² × 139

Divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110010011000

Octal: 66230

Duodecimal: 14108

Hexadecimal: 6c98

Square: 772840000

Square Root: 166.73332000533065

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

T(n,k)=Number of length n+5 0..k arrays with no disjoint triples in any consecutive six terms having the same sum. A247995

Trisection of A007294. A73472

Numbers such that the sum of divisors divides the concatenation (in ascending order) of divisors. A308486

Numbers k such that k and k² use only the digits 0, 2, 4, 7 and 8. A136906

Number of length n+5 0..4 arrays with no disjoint triples in any consecutive six terms having the same sum. A247991

Number of length 2+5 0..n arrays with no disjoint triples in any consecutive six terms having the same sum. A247997

a(n) = (n+1)*binomial(n+4, 4). A27800