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120465728 = 265961523
BaseRepresentation
bin1110010111000…
…10100101000000
322101200021220122
413023202211000
5221314400403
615541555412
72661641015
oct713424500
9271607818
10120465728
1161aaa759
1234415b68
131bc5abc6
1411ddb70c
15a898838
hex72e2940

120465728 has 56 divisors (see below), whose sum is σ = 247558560. Its totient is φ = 58129920.

The previous prime is 120465727. The next prime is 120465731. The reversal of 120465728 is 827564021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120465727) 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 7 ways as a sum of consecutive naturals, for example, 230075 + ... + 230597.

Almost surely, 2120465728 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 120465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123779280).

120465728 is an abundant number, since it is smaller than the sum of its proper divisors (127092832).

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

120465728 is an equidigital number, since it uses as much as digits as its factorization.

120465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 120465728 is about 10975.6880422140. The cubic root of 120465728 is about 493.8796933673.

The spelling of 120465728 in words is "one hundred twenty million, four hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 61 64 118 122 236 244 472 488 523 944 976 1046 1888 1952 2092 3599 3776 3904 4184 7198 8368 14396 16736 28792 30857 31903 33472 57584 61714 63806 115168 123428 127612 230336 246856 255224 493712 510448 987424 1020896 1882277 1974848 2041792 3764554 7529108 15058216 30116432 60232864 120465728