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12085902 = 2332337263
BaseRepresentation
bin101110000110…
…101010001110
3211202000202000
4232012222032
511043222102
61111013130
7204504603
oct56065216
924660660
1012085902
116905354
12406a1a6
13267212a
1418686aa
1510db01c
hexb86a8e

12085902 has 64 divisors (see below), whose sum is σ = 28892160. Its totient is φ = 3735072.

The previous prime is 12085897. The next prime is 12085903. The reversal of 12085902 is 20958021.

12085902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45823 + ... + 46085.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 212085902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12085902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446080).

12085902 is an abundant number, since it is smaller than the sum of its proper divisors (16806258).

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

12085902 is a wasteful number, since it uses less digits than its factorization.

12085902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12085902 is about 3476.4783905556. The cubic root of 12085902 is about 229.4878459111.

It can be divided in two parts, 1 and 2085902, that added together give a triangular number (2085903 = T2042).

The spelling of 12085902 in words is "twelve million, eighty-five thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 263 333 414 526 621 666 789 851 999 1242 1578 1702 1998 2367 2553 4734 5106 6049 7101 7659 9731 12098 14202 15318 18147 19462 22977 29193 36294 45954 54441 58386 87579 108882 163323 175158 223813 262737 326646 447626 525474 671439 1342878 2014317 4028634 6042951 12085902