Properties of the Number 57420

Fifty-Seven Thousand Four Hundred Twenty

Basics

Value: 57419 → 57420 → 57421

Parity: even

Prime: No

Previous Prime: 57413

Next Prime: 57427

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 11 × 29

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001001100

Octal: 160114

Duodecimal: 29290

Hexadecimal: e04c

Square: 3297056400

Square Root: 239.6247065725903

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

Number T(n,k) of collections of nonempty multisets with a total of n objects of exactly k colors; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A255903

Number of integer compositions of n with the same length as their alternating sum. A357182

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives·numbers. A125490

Number of nX1 0..1 arrays with exactly floor(nX1/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order. A222283

Number of n X 2 0..1 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222763

Triangle T(n, k) read by rows, n > 0 and 0 < k <= 3^n-1: T(n, k) = A321768(n, k) * A321769(n, k) / 2. A322170

Numbers k such that k·A003557(A003961(k)) divides A353790(k), where A353790(n) = φ(A003973(n)) * A064989(A003973(n)). A353797

Smallest positive number of "triangular" shuffles of n(n+1)/2 cards needed to restore them to their original order. A122158

Number of collections of nonempty multisets with a total of n objects of exactly four colors. A255944

Number of collections of nonempty multisets with a total of n+5 objects of exactly n colors. A255955