Properties of the Number 53760

Fifty-Three Thousand Seven Hundred Sixty

Basics

Value: 53759 → 53760 → 53761

Parity: even

Prime: No

Previous Prime: 53759

Next Prime: 53773

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁹ × 3 × 5 × 7

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

2196 Try Today's Challenge

Representations

Binary: 1101001000000000

Octal: 151000

Duodecimal: 27140

Hexadecimal: d200

Square: 2890137600

Square Root: 231.862027939031

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

12-almost primes (generalization of semiprimes). A69273

Triangle read by rows: a(n,k) = number of k-length walks in the Hasse diagram of a Boolean algebra of order n. A90802

The ED1 array read by antidiagonals. A167546

Array read by antidiagonals: A(n,k) = (k+1)ⁿ*(n+k)!/n!. A152818

Expansion of e.g.f. 1/(1 - x·exp(x²)). A358064

Triangular array of coefficients multiplied by n! of polynomials in e. These give the expected number of trials needed for the sum of uniform random variables from the interval [0,1] to exceed n+1. A89087

Expansion of e.g.f. (1-sqrt(1-8·x))/2. A52713

Matrix log of triangle A078536, which shifts columns left and up under matrix 4th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111818

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237375

A triangle related to A000045 (Fibonacci numbers). A39948