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120008080 = 2451500101
BaseRepresentation
bin1110010011100…
…10110110010000
322100211001010201
413021302312100
5221210224310
615524104544
72655023533
oct711626620
9270731121
10120008080
1161817935
1234235154
131bb2a7ca
1411d1ca1a
15a807e3a
hex7272d90

120008080 has 20 divisors (see below), whose sum is σ = 279018972. Its totient is φ = 48003200.

The previous prime is 120008069. The next prime is 120008087. The reversal of 120008080 is 80800021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 46185616 = 8592^2 + 6796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (120008087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 749971 + ... + 750130.

Almost surely, 2120008080 is an apocalyptic number.

120008080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120008080 is an abundant number, since it is smaller than the sum of its proper divisors (159010892).

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

120008080 is a wasteful number, since it uses less digits than its factorization.

120008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500114 (or 1500108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 120008080 is about 10954.8199437508. The cubic root of 120008080 is about 493.2534851696.

The spelling of 120008080 in words is "one hundred twenty million, eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1500101 3000202 6000404 7500505 12000808 15001010 24001616 30002020 60004040 120008080