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12766012 = 2272343461
BaseRepresentation
bin110000101100…
…101100111100
3220000120200021
4300230230330
511232003022
61133341524
7213336460
oct60545474
926016607
1012766012
11722a326
1243378a4
13284c86c
1419a44a0
1511c27c7
hexc2cb3c

12766012 has 48 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 5100480.

The previous prime is 12766009. The next prime is 12766027. The reversal of 12766012 is 21066721.

12766012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 27462 + ... + 27922.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 212766012 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 12766012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

12766012 is an abundant number, since it is smaller than the sum of its proper divisors (14554820).

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

12766012 is a wasteful number, since it uses less digits than its factorization.

12766012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 12766012 is about 3572.9556392432. The cubic root of 12766012 is about 233.7141907073.

The spelling of 12766012 in words is "twelve million, seven hundred sixty-six thousand, twelve".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 161 172 301 322 461 602 644 922 989 1204 1844 1978 3227 3956 6454 6923 10603 12908 13846 19823 21206 27692 39646 42412 74221 79292 138761 148442 277522 296884 455929 555044 911858 1823716 3191503 6383006 12766012