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12679168 = 21141151
BaseRepresentation
bin110000010111…
…100000000000
3212212011112211
4300113200000
511221213133
61131431504
7212525335
oct60274000
925764484
1012679168
117180057
1242b5594
13281c188
14198098c
1511a6bcd
hexc17800

12679168 has 48 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 6144000.

The previous prime is 12679157. The next prime is 12679171. The reversal of 12679168 is 86197621.

It is a super-2 number, since 2×126791682 = 321522602344448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12679168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83893 + ... + 84043.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 212679168 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 12679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

12679168 is an abundant number, since it is smaller than the sum of its proper divisors (13463312).

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

12679168 is an equidigital number, since it uses as much as digits as its factorization.

12679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 12679168 is about 3560.7819365976. The cubic root of 12679168 is about 233.1830179255.

The spelling of 12679168 in words is "twelve million, six hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 151 164 256 302 328 512 604 656 1024 1208 1312 2048 2416 2624 4832 5248 6191 9664 10496 12382 19328 20992 24764 38656 41984 49528 77312 83968 99056 154624 198112 309248 396224 792448 1584896 3169792 6339584 12679168