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56875120 = 2451017039
BaseRepresentation
bin1101100011110…
…1100001110000
310222000112222221
43120331201300
5104030000440
65351010424
71260300451
oct330754160
9128015887
1056875120
112a117135
1217069a14
13ba24823
1477a7128
154ed6d4a
hex363d870

56875120 has 40 divisors (see below), whose sum is σ = 133562880. Its totient is φ = 22521600.

The previous prime is 56875099. The next prime is 56875121. The reversal of 56875120 is 2157865.

56875120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56875121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4561 + ... + 11599.

It is an arithmetic number, because the mean of its divisors is an integer number (3339072).

Almost surely, 256875120 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 56875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

56875120 is an abundant number, since it is smaller than the sum of its proper divisors (76687760).

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

56875120 is a wasteful number, since it uses less digits than its factorization.

56875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 56875120 is about 7541.5595204175. The cubic root of 56875120 is about 384.5688545147.

The spelling of 56875120 in words is "fifty-six million, eight hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 7039 8080 14078 28156 35195 56312 70390 112624 140780 281560 563120 710939 1421878 2843756 3554695 5687512 7109390 11375024 14218780 28437560 56875120