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120319136 = 257678017
BaseRepresentation
bin1110010101111…
…10110010100000
322101101211211022
413022332302200
5221300203021
615534505012
72660460440
oct712766240
9271354738
10120319136
1161a0a603
1234365168
131bc09272
1411da0120
15a86a1ab
hex72beca0

120319136 has 48 divisors (see below), whose sum is σ = 274792896. Its totient is φ = 50789376.

The previous prime is 120319097. The next prime is 120319159. The reversal of 120319136 is 631913021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11000 + ... + 19016.

It is an arithmetic number, because the mean of its divisors is an integer number (5724852).

Almost surely, 2120319136 is an apocalyptic number.

120319136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120319136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137396448).

120319136 is an abundant number, since it is smaller than the sum of its proper divisors (154473760).

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

120319136 is an equidigital number, since it uses as much as digits as its factorization.

120319136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 120319136 is about 10969.0079770233. The cubic root of 120319136 is about 493.6792817373.

The spelling of 120319136 in words is "one hundred twenty million, three hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 8017 15008 16034 32068 56119 64136 112238 128272 224476 256544 448952 537139 897904 1074278 1795808 2148556 3759973 4297112 7519946 8594224 15039892 17188448 30079784 60159568 120319136