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120390912 = 283252253
BaseRepresentation
bin1110010110100…
…00010100000000
322101112111021200
413023100110000
5221310002122
615540221200
72661206625
oct713202400
9271474250
10120390912
1161a59524
123439a800
131bc32b35
1411dbc34c
15a8815ac
hex72d0500

120390912 has 54 divisors (see below), whose sum is σ = 347123322. Its totient is φ = 40129536.

The previous prime is 120390911. The next prime is 120390967. The reversal of 120390912 is 219093021.

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 26378496 = 9696^2 + 5136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120390911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23823 + ... + 28430.

Almost surely, 2120390912 is an apocalyptic number.

120390912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120390912 is an abundant number, since it is smaller than the sum of its proper divisors (226732410).

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

120390912 is an equidigital number, since it uses as much as digits as its factorization.

120390912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52275 (or 52258 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 120390912 is about 10972.2792527350. The cubic root of 120390912 is about 493.7774298279. Note that the first 3 decimals are identical.

The spelling of 120390912 in words is "one hundred twenty million, three hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 52253 104506 156759 209012 313518 418024 470277 627036 836048 940554 1254072 1672096 1881108 2508144 3344192 3762216 5016288 6688384 7524432 10032576 13376768 15048864 20065152 30097728 40130304 60195456 120390912