Properties of the Number 15420

Fifteen Thousand Four Hundred Twenty

Basics

Value: 15419 → 15420 → 15421

Parity: even

Prime: No

Previous Prime: 15413

Next Prime: 15427

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 257

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000111100

Octal: 36074

Duodecimal: 8B10

Hexadecimal: 3c3c

Square: 237776400

Square Root: 124.1772926102031

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 of integer partitions of n whose product is a perfect power. A320322

Number of integer partitions of n with no part dividing all the others. A338470

Numbers divisible by prime(d) for each digit d in their base-9 representation, none of which may be zero. A256879

Number of aperiodic binary toroidal necklaces of size n. A323865

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=10. A135195

T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222509

Numbers k such that φ(k) is a perfect sixth power. A78166

Numbers k such that σ(φ(k)) is a prime. A62514

List of codewords in binary lexicode with Hamming distance 8 written as decimal numbers. A75940

Number of permutations of [n] having no cycle with 3 or more alternating runs (it is assumed that the smallest element of a cycle is in the first position). A187251