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120097960 = 2353002449
BaseRepresentation
bin1110010100010…
…00110010101000
322100222121102121
413022020302220
5221221113320
615530041024
72655546553
oct712106250
9270877377
10120097960
1161879414
1234279174
131bb5c6a8
1411d4369a
15a8248aa
hex7288ca8

120097960 has 16 divisors (see below), whose sum is σ = 270220500. Its totient is φ = 48039168.

The previous prime is 120097909. The next prime is 120097987. The reversal of 120097960 is 69790021.

It can be written as a sum of positive squares in 2 ways, for example, as 110376036 + 9721924 = 10506^2 + 3118^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1501185 + ... + 1501264.

Almost surely, 2120097960 is an apocalyptic number.

120097960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120097960 is an abundant number, since it is smaller than the sum of its proper divisors (150122540).

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

120097960 is a wasteful number, since it uses less digits than its factorization.

120097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002460 (or 3002456 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 120097960 is about 10958.9214797808. The cubic root of 120097960 is about 493.3765951023.

The spelling of 120097960 in words is "one hundred twenty million, ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 3002449 6004898 12009796 15012245 24019592 30024490 60048980 120097960