Search a number
BaseRepresentation
bin1101000001110000
32201012022
431001300
53201420
61051012
7311366
oct150160
981168
1053360
11370aa
1226a68
131b398
1415636
1510c25
hexd070

53360 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 19712.

The previous prime is 53359. The next prime is 53377. The reversal of 53360 is 6335.

53360 = 23 + 33 + ... + 213.

It is a happy number.

It is a Cunningham number, because it is equal to 2312-1.

It is a tau number, because it is divible by the number of its divisors (40).

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 53360.

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, 1826 + ... + 1854.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

253360 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 53360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

53360 is an abundant number, since it is smaller than the sum of its proper divisors (80560).

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

53360 is a wasteful number, since it uses less digits than its factorization.

53360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 53360 is about 230.9978354877. The cubic root of 53360 is about 37.6477136835.

Adding to 53360 its reverse (6335), we get a palindrome (59695).

The spelling of 53360 in words is "fifty-three thousand, three hundred sixty".