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12687390 = 2325612311
BaseRepresentation
bin110000011001…
…100000011110
3212212120211100
4300121200132
511221444030
61131533530
7212561322
oct60314036
925776740
1012687390
117186251
1242ba2a6
132822b41
141983982
1511a9360
hexc1981e

12687390 has 48 divisors (see below), whose sum is σ = 33542496. Its totient is φ = 3326400.

The previous prime is 12687379. The next prime is 12687439. The reversal of 12687390 is 9378621.

12687390 is a `hidden beast` number, since 1 + 268 + 7 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4335 + ... + 6645.

It is an arithmetic number, because the mean of its divisors is an integer number (698802).

Almost surely, 212687390 is an apocalyptic number.

12687390 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 12687390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771248).

12687390 is an abundant number, since it is smaller than the sum of its proper divisors (20855106).

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

12687390 is a wasteful number, since it uses less digits than its factorization.

12687390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2382 counting only the distinct ones).

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

The square root of 12687390 is about 3561.9362711873. The cubic root of 12687390 is about 233.2334107300.

The spelling of 12687390 in words is "twelve million, six hundred eighty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2311 2745 4622 5490 6933 11555 13866 20799 23110 34665 41598 69330 103995 140971 207990 281942 422913 704855 845826 1268739 1409710 2114565 2537478 4229130 6343695 12687390