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120233088 = 2732104369
BaseRepresentation
bin1110010101010…
…01110010000000
322101020110210100
413022221302000
5221234424323
615533002400
72656651533
oct712516200
9271213710
10120233088
1161960998
1234323400
131bba9051
1411d7aa1a
15a84e943
hex72a9c80

120233088 has 48 divisors (see below), whose sum is σ = 345986550. Its totient is φ = 40077312.

The previous prime is 120233063. The next prime is 120233089. The reversal of 120233088 is 880332021.

It can be written as a sum of positive squares in only one way, i.e., 88962624 + 31270464 = 9432^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (120233089) 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 5 ways as a sum of consecutive naturals, for example, 51033 + ... + 53336.

Almost surely, 2120233088 is an apocalyptic number.

120233088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120233088 is an abundant number, since it is smaller than the sum of its proper divisors (225753462).

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

120233088 is a wasteful number, since it uses less digits than its factorization.

120233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104389 (or 104374 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120233088 is about 10965.0849517913. The cubic root of 120233088 is about 493.5615663375.

The spelling of 120233088 in words is "one hundred twenty million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 104369 208738 313107 417476 626214 834952 939321 1252428 1669904 1878642 2504856 3339808 3757284 5009712 6679616 7514568 10019424 13359232 15029136 20038848 30058272 40077696 60116544 120233088