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12915630 = 23257131983
BaseRepresentation
bin110001010001…
…001110101110
3220022011220200
4301101032232
511301300010
61140454330
7214531620
oct61211656
926264820
1012915630
117321782
1243aa3a6
1328a29b0
141a02c10
151201cc0
hexc513ae

12915630 has 192 divisors, whose sum is σ = 44029440. Its totient is φ = 2550528.

The previous prime is 12915593. The next prime is 12915653. The reversal of 12915630 is 3651921.

12915630 is a `hidden beast` number, since 1 + 29 + 1 + 5 + 630 = 666.

12915630 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 is a junction number, because it is equal to n+sod(n) for n = 12915594 and 12915603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155569 + ... + 155651.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 212915630 is an apocalyptic number.

12915630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12915630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

12915630 is an abundant number, since it is smaller than the sum of its proper divisors (31113810).

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

12915630 is a wasteful number, since it uses less digits than its factorization.

12915630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12915630 is about 3593.8322164508. The cubic root of 12915630 is about 234.6236922892.

The spelling of 12915630 in words is "twelve million, nine hundred fifteen thousand, six hundred thirty".