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56129220 = 22335731479
BaseRepresentation
bin1101011000011…
…1011011000100
310220121122211000
43112013123010
5103332113340
65323013300
71251043020
oct326073304
9126548730
1056129220
1129757794
121696a230
13b823174
147651380
154ddad30
hex35876c4

56129220 has 192 divisors, whose sum is σ = 206438400. Its totient is φ = 12389760.

The previous prime is 56129179. The next prime is 56129221. The reversal of 56129220 is 2292165.

56129220 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

56129220 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (56129221) 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 63 ways as a sum of consecutive naturals, for example, 116941 + ... + 117419.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 256129220 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 56129220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103219200).

56129220 is an abundant number, since it is smaller than the sum of its proper divisors (150309180).

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

56129220 is a wasteful number, since it uses less digits than its factorization.

56129220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56129220 is about 7491.9436730397. The cubic root of 56129220 is about 382.8802830798.

The spelling of 56129220 in words is "fifty-six million, one hundred twenty-nine thousand, two hundred twenty".