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120856385 = 5131859329
BaseRepresentation
bin1110011010000…
…01111101000001
322102102010210102
413031001331001
5221414401020
615554212145
72665155656
oct715017501
9272363712
10120856385
1162247211
1234584055
131c066970
141209dc2d
15a924475
hex7341f41

120856385 has 8 divisors (see below), whose sum is σ = 156183720. Its totient is φ = 89247744.

The previous prime is 120856363. The next prime is 120856423. The reversal of 120856385 is 583658021.

It can be written as a sum of positive squares in 4 ways, for example, as 6195121 + 114661264 = 2489^2 + 10708^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120856385 - 214 = 120840001 is a prime.

It is a super-3 number, since 3×1208563853 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 929600 + ... + 929729.

It is an arithmetic number, because the mean of its divisors is an integer number (19522965).

Almost surely, 2120856385 is an apocalyptic number.

It is an amenable number.

120856385 is a deficient number, since it is larger than the sum of its proper divisors (35327335).

120856385 is a wasteful number, since it uses less digits than its factorization.

120856385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859347.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 120856385 is about 10993.4701072955. The cubic root of 120856385 is about 494.4129830122.

The spelling of 120856385 in words is "one hundred twenty million, eight hundred fifty-six thousand, three hundred eighty-five".

Divisors: 1 5 13 65 1859329 9296645 24171277 120856385