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120139920 = 24325166861
BaseRepresentation
bin1110010100100…
…11000010010000
322101001201222200
413022103002100
5221223434140
615531003200
72656113105
oct712230220
9271051880
10120139920
11618a799a
1234299500
131bb75814
1411d54aac
15a832030
hex7293090

120139920 has 60 divisors (see below), whose sum is σ = 403472316. Its totient is φ = 32037120.

The previous prime is 120139913. The next prime is 120139931. The reversal of 120139920 is 29931021.

It can be written as a sum of positive squares in 2 ways, for example, as 84713616 + 35426304 = 9204^2 + 5952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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, 82711 + ... + 84150.

Almost surely, 2120139920 is an apocalyptic number.

120139920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120139920 is an abundant number, since it is smaller than the sum of its proper divisors (283332396).

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

120139920 is a wasteful number, since it uses less digits than its factorization.

120139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166880 (or 166871 counting only the distinct ones).

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

The square root of 120139920 is about 10960.8357345597. The cubic root of 120139920 is about 493.4340472895.

The spelling of 120139920 in words is "one hundred twenty million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 166861 333722 500583 667444 834305 1001166 1334888 1501749 1668610 2002332 2502915 2669776 3003498 3337220 4004664 5005830 6006996 6674440 7508745 8009328 10011660 12013992 13348880 15017490 20023320 24027984 30034980 40046640 60069960 120139920