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53760 = 29357
BaseRepresentation
bin1101001000000000
32201202010
431020000
53210020
61052520
7312510
oct151000
981663
1053760
1137433
1227140
131b615
1415840
1510de0
hexd200

53760 has 80 divisors (see below), whose sum is σ = 196416. Its totient is φ = 12288.

The previous prime is 53759. The next prime is 53773. The reversal of 53760 is 6735.

53760 = T37 + T38 + ... + T71.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53760.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7677 + ... + 7683.

253760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

53760 is an abundant number, since it is smaller than the sum of its proper divisors (142656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53760 is an equidigital number, since it uses as much as digits as its factorization.

53760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 53760 is about 231.8620279390. The cubic root of 53760 is about 37.7415518425.

The spelling of 53760 in words is "fifty-three thousand, seven hundred sixty".