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12285568 = 27412341
BaseRepresentation
bin101110110111…
…011010000000
3212010011122001
4232313122000
511121114233
61115153344
7206265661
oct56673200
925104561
1012285568
116a31369
124145854
132711c89
1418bb368
15112a27d
hexbb7680

12285568 has 32 divisors (see below), whose sum is σ = 25082820. Its totient is φ = 5990400.

The previous prime is 12285557. The next prime is 12285587. The reversal of 12285568 is 86558221.

12285568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 506944 = 3432^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4078 + ... + 6418.

Almost surely, 212285568 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 12285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541410).

12285568 is an abundant number, since it is smaller than the sum of its proper divisors (12797252).

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

12285568 is an equidigital number, since it uses as much as digits as its factorization.

12285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The square root of 12285568 is about 3505.0774599144. The cubic root of 12285568 is about 230.7447064993.

The spelling of 12285568 in words is "twelve million, two hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2341 2624 4682 5248 9364 18728 37456 74912 95981 149824 191962 299648 383924 767848 1535696 3071392 6142784 12285568