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12085170 = 235292479
BaseRepresentation
bin101110000110…
…011110110010
3211201222201220
4232012132302
511043211140
61111005510
7204502506
oct56063662
924658656
1012085170
116904849
124069896
1326719b6
141868306
1510dabd0
hexb867b2

12085170 has 48 divisors (see below), whose sum is σ = 30101760. Its totient is φ = 3105088.

The previous prime is 12085169. The next prime is 12085207. The reversal of 12085170 is 7158021.

It is a self number, because there is not a number n which added to its sum of digits gives 12085170.

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 23 ways as a sum of consecutive naturals, for example, 24991 + ... + 25469.

It is an arithmetic number, because the mean of its divisors is an integer number (627120).

Almost surely, 212085170 is an apocalyptic number.

12085170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12085170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050880).

12085170 is an abundant number, since it is smaller than the sum of its proper divisors (18016590).

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

12085170 is a wasteful number, since it uses less digits than its factorization.

12085170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 12085170 is about 3476.3731100099. The cubic root of 12085170 is about 229.4832127306.

The spelling of 12085170 in words is "twelve million, eighty-five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 479 841 870 958 1437 1682 2395 2523 2874 4205 4790 5046 7185 8410 12615 13891 14370 25230 27782 41673 69455 83346 138910 208365 402839 416730 805678 1208517 2014195 2417034 4028390 6042585 12085170