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12778764 = 22317371693
BaseRepresentation
bin110000101111…
…110100001100
3220001020011120
4300233310030
511232410024
61133520540
7213421605
oct60576414
926036146
1012778764
117238969
124343150
1328555cb
1419a8dac
1511c6479
hexc2fd0c

12778764 has 48 divisors (see below), whose sum is σ = 32443488. Its totient is φ = 3898368.

The previous prime is 12778741. The next prime is 12778769. The reversal of 12778764 is 46787721.

12778764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12778769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6702 + ... + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (675906).

Almost surely, 212778764 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 12778764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221744).

12778764 is an abundant number, since it is smaller than the sum of its proper divisors (19664724).

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

12778764 is a wasteful number, since it uses less digits than its factorization.

12778764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 12778764 is about 3574.7397108041. The cubic root of 12778764 is about 233.7919840323.

The spelling of 12778764 in words is "twelve million, seven hundred seventy-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1693 1887 2516 3386 3774 5079 6772 7548 10158 20316 28781 57562 62641 86343 115124 125282 172686 187923 250564 345372 375846 751692 1064897 2129794 3194691 4259588 6389382 12778764