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120868096 = 281727773
BaseRepresentation
bin1110011010001…
…00110100000000
322102102201212011
413031010310000
5221420234341
615554342304
72665235056
oct715046400
9272381764
10120868096
1162254a98
123458a994
131c06c0ab
14120a41d6
15a927b81
hex7344d00

120868096 has 36 divisors (see below), whose sum is σ = 255465252. Its totient is φ = 56877056.

The previous prime is 120868093. The next prime is 120868103. The reversal of 120868096 is 690868021.

It can be written as a sum of positive squares in 2 ways, for example, as 85821696 + 35046400 = 9264^2 + 5920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120868093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9535 + ... + 18238.

It is an arithmetic number, because the mean of its divisors is an integer number (7096257).

Almost surely, 2120868096 is an apocalyptic number.

120868096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120868096 is an abundant number, since it is smaller than the sum of its proper divisors (134597156).

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

120868096 is an equidigital number, since it uses as much as digits as its factorization.

120868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27806 (or 27792 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 120868096 is about 10994.0027287608. The cubic root of 120868096 is about 494.4289520580.

The spelling of 120868096 in words is "one hundred twenty million, eight hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 27773 55546 111092 222184 444368 472141 888736 944282 1777472 1888564 3554944 3777128 7109888 7554256 15108512 30217024 60434048 120868096