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56324160 = 263454153
BaseRepresentation
bin1101011011011…
…1000001000000
310220222120020000
43112313001000
5103404333120
65331120000
71252514244
oct326670100
9126876200
1056324160
11298801a2
1216a43000
13b890b09
1476a2424
154e28990
hex35b7040

56324160 has 280 divisors, whose sum is σ = 209114136. Its totient is φ = 14376960.

The previous prime is 56324159. The next prime is 56324183. The reversal of 56324160 is 6142365.

56324160 is a `hidden beast` number, since 563 + 2 + 41 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 54997056 = 1152^2 + 7416^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1062694 + ... + 1062746.

Almost surely, 256324160 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 56324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104557068).

56324160 is an abundant number, since it is smaller than the sum of its proper divisors (152789976).

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

56324160 is a wasteful number, since it uses less digits than its factorization.

56324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56324160 is about 7504.9423715309. The cubic root of 56324160 is about 383.3230259778.

The spelling of 56324160 in words is "fifty-six million, three hundred twenty-four thousand, one hundred sixty".