Properties of the Number 57120

Fifty-Seven Thousand One Hundred Twenty

Basics

Value: 57119 → 57120 → 57121

Parity: even

Prime: No

Previous Prime: 57119

Next Prime: 57131

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 7 × 17

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111100100000

Octal: 157440

Duodecimal: 29080

Hexadecimal: df20

Square: 3262694400

Square Root: 238.9979079406345

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 j such that σ(σ(j)) = k·j for some k. A19278

Products of 4 consecutive integers: a(n) = n*(n-1)*(n-2)*(n-3). A52762

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

Triangle T(n,k) (0 <= k <= n) giving number of chains of length k in partially ordered set formed from subsets of n-set by inclusion. A38719

Starts of runs of exactly 6 consecutive nonsquarefree numbers. A49535

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (2,13)-perfect numbers. A19290

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt((1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)²)) / (2 * (1+2*(k-4)*x+((k+4)*x)²))). A337419

a(n) = product of numbers from prime(n)+1 up to prime(n+1), where prime(n) is the n-th prime. A72472

Numbers with prime factorization pqrst⁵. A190383

Numbers k such that ω(k) = 5 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383729