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12287168 = 261131699
BaseRepresentation
bin101110110111…
…110011000000
3212010020211022
4232313303000
511121142133
61115205012
7206303435
oct56676300
925106738
1012287168
116a32593
124146768
13271291a
1418bbb8c
15112a998
hexbb7cc0

12287168 has 28 divisors (see below), whose sum is σ = 24612600. Its totient is φ = 6085632.

The previous prime is 12287159. The next prime is 12287173. The reversal of 12287168 is 86178221.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6383 + ... + 8081.

Almost surely, 212287168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306300).

12287168 is an abundant number, since it is smaller than the sum of its proper divisors (12325432).

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

12287168 is a wasteful number, since it uses less digits than its factorization.

12287168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1814 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 12287168 is about 3505.3056928034. The cubic root of 12287168 is about 230.7547230082.

The spelling of 12287168 in words is "twelve million, two hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1699 1808 3398 3616 6796 7232 13592 27184 54368 108736 191987 383974 767948 1535896 3071792 6143584 12287168