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12766704 = 243475659
BaseRepresentation
bin110000101100…
…110111110000
3220000121121220
4300230313300
511232013304
61133345040
7213341466
oct60546760
926017556
1012766704
11722a8a5
124338180
13284cc82
1419a4836
1511c2ad9
hexc2cdf0

12766704 has 40 divisors (see below), whose sum is σ = 33688320. Its totient is φ = 4164288.

The previous prime is 12766687. The next prime is 12766709. The reversal of 12766704 is 40766721.

12766704 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 not an unprimeable number, because it can be changed into a prime (12766709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (842208).

Almost surely, 212766704 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 12766704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844160).

12766704 is an abundant number, since it is smaller than the sum of its proper divisors (20921616).

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

12766704 is a wasteful number, since it uses less digits than its factorization.

12766704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 12766704 is about 3573.0524765248. The cubic root of 12766704 is about 233.7184135687.

The spelling of 12766704 in words is "twelve million, seven hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5659 11318 16977 22636 33954 45272 67908 90544 135816 265973 271632 531946 797919 1063892 1595838 2127784 3191676 4255568 6383352 12766704