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120153056 = 254779889
BaseRepresentation
bin1110010100101…
…10001111100000
322101002102000012
413022112033200
5221224344211
615531144052
72656166312
oct712261740
9271072005
10120153056
1161906851
12342a5028
131bb7b7aa
1411d597b2
15a835d8b
hex72963e0

120153056 has 24 divisors (see below), whose sum is σ = 241587360. Its totient is φ = 58797568.

The previous prime is 120152987. The next prime is 120153079. The reversal of 120153056 is 650351021.

It is a super-2 number, since 2×1201530562 = 28873513732278272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 38441 + ... + 41448.

It is an arithmetic number, because the mean of its divisors is an integer number (10066140).

Almost surely, 2120153056 is an apocalyptic number.

120153056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120153056 is an abundant number, since it is smaller than the sum of its proper divisors (121434304).

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

120153056 is an equidigital number, since it uses as much as digits as its factorization.

120153056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79946 (or 79938 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 120153056 is about 10961.4349425611. The cubic root of 120153056 is about 493.4520305250.

The spelling of 120153056 in words is "one hundred twenty million, one hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 79889 159778 319556 639112 1278224 2556448 3754783 7509566 15019132 30038264 60076528 120153056