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120856164 = 223111370429
BaseRepresentation
bin1110011010000…
…01111001100100
322102102010111020
413031001321210
5221414344124
615554211140
72665155222
oct715017144
9272363436
10120856164
1162247030
1234583ab0
131c066830
141209db12
15a924379
hex7341e64

120856164 has 48 divisors (see below), whose sum is σ = 331302720. Its totient is φ = 33805440.

The previous prime is 120856163. The next prime is 120856193. The reversal of 120856164 is 461658021.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (120856163) 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 15 ways as a sum of consecutive naturals, for example, 33499 + ... + 36930.

It is an arithmetic number, because the mean of its divisors is an integer number (6902140).

Almost surely, 2120856164 is an apocalyptic number.

It is an amenable number.

120856164 is an abundant number, since it is smaller than the sum of its proper divisors (210446556).

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

120856164 is a wasteful number, since it uses less digits than its factorization.

120856164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70460 (or 70458 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 120856164 is about 10993.4600558696. The cubic root of 120856164 is about 494.4126816481.

The spelling of 120856164 in words is "one hundred twenty million, eight hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 70429 140858 211287 281716 422574 774719 845148 915577 1549438 1831154 2324157 2746731 3098876 3662308 4648314 5493462 9296628 10071347 10986924 20142694 30214041 40285388 60428082 120856164