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120918912 = 2732313691
BaseRepresentation
bin1110011010100…
…01001110000000
322102112022120020
413031101032000
5221423401122
615555413440
72665536162
oct715211600
9272468506
10120918912
116228a194
12345b4280
131c08926a
14120b8932
15a937c5c
hex7351380

120918912 has 64 divisors (see below), whose sum is σ = 335180160. Its totient is φ = 38551040.

The previous prime is 120918899. The next prime is 120918929. The reversal of 120918912 is 219819021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1987 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (5237190).

Almost surely, 2120918912 is an apocalyptic number.

120918912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167590080).

120918912 is an abundant number, since it is smaller than the sum of its proper divisors (214261248).

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

120918912 is a wasteful number, since it uses less digits than its factorization.

120918912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 120918912 is about 10996.3135640996. The cubic root of 120918912 is about 494.4982324891.

The spelling of 120918912 in words is "one hundred twenty million, nine hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 13691 27382 41073 54764 82146 109528 164292 219056 314893 328584 438112 629786 657168 876224 944679 1259572 1314336 1752448 1889358 2519144 2628672 3778716 5038288 5257344 7557432 10076576 15114864 20153152 30229728 40306304 60459456 120918912