Search a number
-
+
12769038 = 2323112281
BaseRepresentation
bin110000101101…
…011100001110
3220000201211100
4300231130032
511232102123
61133403530
7213351342
oct60553416
926021740
1012769038
117231627
1243395a6
132851059
1419a5622
1511c3643
hexc2d70e

12769038 has 24 divisors (see below), whose sum is σ = 27767376. Its totient is φ = 4240800.

The previous prime is 12769027. The next prime is 12769039. The reversal of 12769038 is 83096721.

12769038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12768993 and 12769011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12769039) 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, 4458 + ... + 6738.

It is an arithmetic number, because the mean of its divisors is an integer number (1156974).

Almost surely, 212769038 is an apocalyptic number.

12769038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12769038 is an abundant number, since it is smaller than the sum of its proper divisors (14998338).

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

12769038 is a wasteful number, since it uses less digits than its factorization.

12769038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12769038 is about 3573.3790730903. The cubic root of 12769038 is about 233.7326554471.

The spelling of 12769038 in words is "twelve million, seven hundred sixty-nine thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 311 622 933 1866 2281 2799 4562 5598 6843 13686 20529 41058 709391 1418782 2128173 4256346 6384519 12769038