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12610413 = 321782421
BaseRepresentation
bin110000000110…
…101101101101
3212201200020100
4300012231231
511212013123
61130141313
7212121024
oct60065555
925650210
1012610413
117133432
124281839
1327c6aaa
1419638bb
151191643
hexc06b6d

12610413 has 12 divisors (see below), whose sum is σ = 19286748. Its totient is φ = 7912320.

The previous prime is 12610387. The next prime is 12610421. The reversal of 12610413 is 31401621.

It is a happy number.

12610413 is a `hidden beast` number, since 12 + 610 + 41 + 3 = 666.

12610413 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11269449 + 1340964 = 3357^2 + 1158^2 .

It is not a de Polignac number, because 12610413 - 26 = 12610349 is a prime.

It is a super-3 number, since 3×126104133 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610313) 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, 41058 + ... + 41363.

It is an arithmetic number, because the mean of its divisors is an integer number (1607229).

Almost surely, 212610413 is an apocalyptic number.

It is an amenable number.

12610413 is a deficient number, since it is larger than the sum of its proper divisors (6676335).

12610413 is a wasteful number, since it uses less digits than its factorization.

12610413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82444 (or 82441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12610413 is about 3551.1143321498. The cubic root of 12610413 is about 232.7607618886.

The spelling of 12610413 in words is "twelve million, six hundred ten thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 82421 247263 741789 1401157 4203471 12610413