Properties of the Number 27720

Twenty-Seven Thousand Seven Hundred Twenty

Basics

Value: 27719 → 27720 → 27721

Parity: even

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 7 × 11

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 110110001001000

Octal: 66110

Duodecimal: 14060

Hexadecimal: 6c48

Square: 768398400

Square Root: 166.4932431061393

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

Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record. A2182

a(n) = denominator of harmonic number H(n) = ∑_i=1..n 1/i. A2805

Least common multiple (or LCM) of {1, 2, ..., n} for n >= 1, a(0) = 1. A3418

Superabundant [or super-abundant] numbers: n such that σ(n)/n > σ(m)/m for all m < n, σ(n) being A000203(n), the sum of the divisors of n. A4394

Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n. A793

a(n) = lcm{ 1,2,...,x } where·is the n-th prime power (A000961). A51451

a(1)=1, a(2)=2; thereafter, a(n) is the smallest number m not yet in the sequence such that every prime that divides a(n-1) also divides m. A60735

The minimal numbers: sequence A005179 arranged in increasing order. A7416

Denominator of the n-th alternating harmonic number, ∑_k=1..n (-1)^k+1/k. A58312

If 2n = 2^e1 + 2^e2 + ... + 2^ek [e1 .. ek distinct], then a(n) = A002110(e1) * A002110(e2) * ... * A002110(ek). A283477