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12268536 = 2337103709
BaseRepresentation
bin101110110011…
…001111111000
3212002022021020
4232303033320
511120043121
61114542440
7206165220
oct56631770
925068236
1012268536
116a1a595
124137a20
1327072b7
1418b5080
1511251c6
hexbb33f8

12268536 has 64 divisors (see below), whose sum is σ = 35443200. Its totient is φ = 3466368.

The previous prime is 12268489. The next prime is 12268541. The reversal of 12268536 is 63586221.

It is a junction number, because it is equal to n+sod(n) for n = 12268497 and 12268506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16950 + ... + 17658.

It is an arithmetic number, because the mean of its divisors is an integer number (553800).

Almost surely, 212268536 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 12268536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721600).

12268536 is an abundant number, since it is smaller than the sum of its proper divisors (23174664).

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

12268536 is a wasteful number, since it uses less digits than its factorization.

12268536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 12268536 is about 3502.6469990566. The cubic root of 12268536 is about 230.6380268198.

The spelling of 12268536 in words is "twelve million, two hundred sixty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 709 721 824 1236 1418 1442 2127 2163 2472 2836 2884 4254 4326 4963 5672 5768 8508 8652 9926 14889 17016 17304 19852 29778 39704 59556 73027 119112 146054 219081 292108 438162 511189 584216 876324 1022378 1533567 1752648 2044756 3067134 4089512 6134268 12268536