Search a number
-
+
12668672 = 28174171
BaseRepresentation
bin110000010100…
…111100000000
3212211122011002
4300110330000
511220344142
61131311132
7212452622
oct60247400
925748132
1012668672
117173185
1242ab4a8
132817473
14197ac12
1511a3a32
hexc14f00

12668672 has 72 divisors (see below), whose sum is σ = 27814752. Its totient is φ = 5734400.

The previous prime is 12668659. The next prime is 12668717. The reversal of 12668672 is 27686621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178397 + ... + 178467.

It is an arithmetic number, because the mean of its divisors is an integer number (386316).

Almost surely, 212668672 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 12668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907376).

12668672 is an abundant number, since it is smaller than the sum of its proper divisors (15146080).

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

12668672 is an equidigital number, since it uses as much as digits as its factorization.

12668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 12668672 is about 3559.3077978731. The cubic root of 12668672 is about 233.1186560625.

The spelling of 12668672 in words is "twelve million, six hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 71 82 128 136 142 164 256 272 284 328 544 568 656 697 1088 1136 1207 1312 1394 2176 2272 2414 2624 2788 2911 4352 4544 4828 5248 5576 5822 9088 9656 10496 11152 11644 18176 19312 22304 23288 38624 44608 46576 49487 77248 89216 93152 98974 154496 178432 186304 197948 308992 372608 395896 745216 791792 1583584 3167168 6334336 12668672