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56900 = 2252569
BaseRepresentation
bin1101111001000100
32220001102
431321010
53310100
61115232
7324614
oct157104
986042
1056900
1139828
1228b18
131cb8c
1416a44
1511cd5
hexde44

56900 has 18 divisors (see below), whose sum is σ = 123690. Its totient is φ = 22720.

The previous prime is 56897. The next prime is 56909. The reversal of 56900 is 965.

56900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 56644 = 16^2 + 238^2 .

It is a super-2 number, since 2×569002 = 6475220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (56909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185 + ... + 384.

256900 is an apocalyptic number.

56900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56900 is an abundant number, since it is smaller than the sum of its proper divisors (66790).

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

56900 is a wasteful number, since it uses less digits than its factorization.

56900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 56900 is about 238.5372088375. The cubic root of 56900 is about 38.4624922840.

The spelling of 56900 in words is "fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 569 1138 2276 2845 5690 11380 14225 28450 56900