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12766264 = 2372291123
BaseRepresentation
bin110000101100…
…110000111000
3220000121000121
4300230300320
511232010024
61133343024
7213340300
oct60546070
926017017
1012766264
11722a535
124337a74
13284ca04
1419a4600
1511c28e4
hexc2cc38

12766264 has 48 divisors (see below), whose sum is σ = 28830600. Its totient is φ = 5277888.

The previous prime is 12766261. The next prime is 12766279. The reversal of 12766264 is 46266721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12766261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10807 + ... + 11929.

Almost surely, 212766264 is an apocalyptic number.

12766264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12766264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415300).

12766264 is an abundant number, since it is smaller than the sum of its proper divisors (16064336).

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

12766264 is a wasteful number, since it uses less digits than its factorization.

12766264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1161 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 12766264 is about 3572.9909039907. The cubic root of 12766264 is about 233.7157285300.

The spelling of 12766264 in words is "twelve million, seven hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1123 1421 1624 2246 2842 4492 5684 7861 8984 11368 15722 31444 32567 55027 62888 65134 110054 130268 220108 227969 260536 440216 455938 911876 1595783 1823752 3191566 6383132 12766264