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120640680 = 23325335113
BaseRepresentation
bin1110011000011…
…01010010101000
322102000011220100
413030031102220
5221341000210
615545425400
72663300046
oct714152250
9272004810
10120640680
116210a146
123449b260
131bcbc724
1412045396
15a8d05c0
hex730d4a8

120640680 has 48 divisors (see below), whose sum is σ = 392083380. Its totient is φ = 32170752.

The previous prime is 120640679. The next prime is 120640691. The reversal of 120640680 is 86046021.

120640680 is a `hidden beast` number, since 12 + 0 + 640 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111386916 + 9253764 = 10554^2 + 3042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167197 + ... + 167916.

Almost surely, 2120640680 is an apocalyptic number.

120640680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120640680 is an abundant number, since it is smaller than the sum of its proper divisors (271442700).

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

120640680 is a wasteful number, since it uses less digits than its factorization.

120640680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335130 (or 335123 counting only the distinct ones).

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

The square root of 120640680 is about 10983.6551293274. The cubic root of 120640680 is about 494.1186643637.

The spelling of 120640680 in words is "one hundred twenty million, six hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 335113 670226 1005339 1340452 1675565 2010678 2680904 3016017 3351130 4021356 5026695 6032034 6702260 8042712 10053390 12064068 13404520 15080085 20106780 24128136 30160170 40213560 60320340 120640680