Properties of the Number 53280

Fifty-Three Thousand Two Hundred Eighty

Basics

Value: 53279 → 53280 → 53281

Parity: even

Prime: No

Previous Prime: 53279

Next Prime: 53281

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5 × 37

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000000100000

Octal: 150040

Duodecimal: 26A00

Hexadecimal: d020

Square: 2838758400

Square Root: 230.82460874005614

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

Coefficients in expansion of -q·E'_4/E₄ where E₄ is the Eisenstein Series (A004009). A289636

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,2 or 1,2. A264131

At these values of k, the 1st, 2nd, 3rd and 4th cyclotomic polynomials all give prime numbers. A70025

Least number m such that cardinality of InvPhi(m) = prime(n). A71389

Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 0110 (n,k >= 0). A118890

a(n) = number of triangles that can be formed from the points of a 3 X n grid. A262402

Numbers with prime factorization pqr^2s^5. A190293

"Erase or triple": list of the successive integers that produce the next "altitude" record (see the comments section). A300150

Number of binary sequences of length n containing exactly one subsequence 0110. A118892

Expansion of e.g.f. tan(x)/cosh(log(1+x)). A9760