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12635630 = 2572107241
BaseRepresentation
bin110000001100…
…110111101110
3212202221211022
4300030313232
511213320010
61130454142
7212254400
oct60146756
925687738
1012635630
117150377
124294352
132805407
14196cb70
151198d55
hexc0cdee

12635630 has 48 divisors (see below), whose sum is σ = 26815536. Its totient is φ = 4273920.

The previous prime is 12635629. The next prime is 12635633. The reversal of 12635630 is 3653621.

It is a self number, because there is not a number n which added to its sum of digits gives 12635630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12635633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52310 + ... + 52550.

It is an arithmetic number, because the mean of its divisors is an integer number (558657).

Almost surely, 212635630 is an apocalyptic number.

12635630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12635630 is an abundant number, since it is smaller than the sum of its proper divisors (14179906).

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

12635630 is a wasteful number, since it uses less digits than its factorization.

12635630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 12635630 is about 3554.6631345319. The cubic root of 12635630 is about 232.9158088869.

Subtracting from 12635630 its reverse (3653621), we obtain a square (8982009 = 29972).

The spelling of 12635630 in words is "twelve million, six hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 107 214 241 245 482 490 535 749 1070 1205 1498 1687 2410 3374 3745 5243 7490 8435 10486 11809 16870 23618 25787 26215 51574 52430 59045 118090 128935 180509 257870 361018 902545 1263563 1805090 2527126 6317815 12635630