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12306984 = 23319137197
BaseRepresentation
bin101110111100…
…101000101000
3212011021000020
4232330220220
511122310414
61115440440
7206415264
oct56745050
925137006
1012306984
116a46468
124156120
13271b951
1418c50a4
1511317a9
hexbbca28

12306984 has 64 divisors (see below), whose sum is σ = 32788800. Its totient is φ = 3838464.

The previous prime is 12306979. The next prime is 12307007. The reversal of 12306984 is 48960321.

12306984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 62374 + ... + 62570.

It is an arithmetic number, because the mean of its divisors is an integer number (512325).

Almost surely, 212306984 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 12306984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394400).

12306984 is an abundant number, since it is smaller than the sum of its proper divisors (20481816).

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

12306984 is a wasteful number, since it uses less digits than its factorization.

12306984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12306984 is about 3508.1311263976. The cubic root of 12306984 is about 230.8787054598.

The spelling of 12306984 in words is "twelve million, three hundred six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 137 152 197 228 274 394 411 456 548 591 788 822 1096 1182 1576 1644 2364 2603 3288 3743 4728 5206 7486 7809 10412 11229 14972 15618 20824 22458 26989 29944 31236 44916 53978 62472 80967 89832 107956 161934 215912 323868 512791 647736 1025582 1538373 2051164 3076746 4102328 6153492 12306984