| Base | Representation |
|---|---|
| bin | 1101100001011… |
| … | …0110100010000 |
| 3 | 10221201111111100 |
| 4 | 3120112310100 |
| 5 | 104004412220 |
| 6 | 5343344400 |
| 7 | 1256040255 |
| oct | 330266420 |
| 9 | 127644440 |
| 10 | 56716560 |
| 11 | 2a018a9a |
| 12 | 16bb2100 |
| 13 | b99a5c4 |
| 14 | 776542c |
| 15 | 4ea4d90 |
| hex | 3616d10 |
56716560 has 120 divisors (see below), whose sum is σ = 195712920. Its totient is φ = 14708736.
The previous prime is 56716553. The next prime is 56716567. The reversal of 56716560 is 6561765.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (56716553) and next prime (56716567).
It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 47279376 = 3072^2 + 6876^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (56716567) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25576 + ... + 27704.
It is an arithmetic number, because the mean of its divisors is an integer number (1630941).
Almost surely, 256716560 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 56716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97856460).
56716560 is an abundant number, since it is smaller than the sum of its proper divisors (138996360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56716560 is a wasteful number, since it uses less digits than its factorization.
56716560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2185 (or 2176 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
The square root of 56716560 is about 7531.0397688500. The cubic root of 56716560 is about 384.2111468980.
The spelling of 56716560 in words is "fifty-six million, seven hundred sixteen thousand, five hundred sixty".
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