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55960 = 2351399
BaseRepresentation
bin1101101010011000
32211202121
431222120
53242320
61111024
7322102
oct155230
984677
1055960
1139053
1228474
131c618
1416572
15118aa
hexda98

55960 has 16 divisors (see below), whose sum is σ = 126000. Its totient is φ = 22368.

The previous prime is 55949. The next prime is 55967. The reversal of 55960 is 6955.

It is a happy number.

55960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55967) by changing a digit.

55960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

255960 is an apocalyptic number.

It is an amenable number.

55960 is an abundant number, since it is smaller than the sum of its proper divisors (70040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000).

55960 is a wasteful number, since it uses less digits than its factorization.

55960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 55960 is about 236.5586608011. The cubic root of 55960 is about 38.2495122896.

The spelling of 55960 in words is "fifty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1399 2798 5596 6995 11192 13990 27980 55960