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12766116 = 22311175689
BaseRepresentation
bin110000101100…
…101110100100
3220000120211010
4300230232210
511232003431
61133342220
7213336666
oct60545644
926016733
1012766116
11722a410
124337970
13284c91c
1419a4536
1511c2846
hexc2cba4

12766116 has 48 divisors (see below), whose sum is σ = 34413120. Its totient is φ = 3640320.

The previous prime is 12766109. The next prime is 12766121. The reversal of 12766116 is 61166721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601 + ... + 5088.

It is an arithmetic number, because the mean of its divisors is an integer number (716940).

Almost surely, 212766116 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 12766116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206560).

12766116 is an abundant number, since it is smaller than the sum of its proper divisors (21647004).

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

12766116 is a wasteful number, since it uses less digits than its factorization.

12766116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5722 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 12766116 is about 3572.9701929907. The cubic root of 12766116 is about 233.7148253667.

The spelling of 12766116 in words is "twelve million, seven hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 5689 11378 17067 22756 34134 62579 68268 96713 125158 187737 193426 250316 290139 375474 386852 580278 750948 1063843 1160556 2127686 3191529 4255372 6383058 12766116