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56080 = 245701
BaseRepresentation
bin1101101100010000
32211221001
431230100
53243310
61111344
7322333
oct155420
984831
1056080
1139152
1228554
131c6ab
141661a
151193a
hexdb10

56080 has 20 divisors (see below), whose sum is σ = 130572. Its totient is φ = 22400.

The previous prime is 56053. The next prime is 56081. The reversal of 56080 is 8065.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 20736 = 188^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 6.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 271 + ... + 430.

256080 is an apocalyptic number.

It is an amenable number.

56080 is an abundant number, since it is smaller than the sum of its proper divisors (74492).

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 (65286).

56080 is a wasteful number, since it uses less digits than its factorization.

56080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 56080 is about 236.8121618499. The cubic root of 56080 is about 38.2768333791.

The spelling of 56080 in words is "fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 701 1402 2804 3505 5608 7010 11216 14020 28040 56080