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12630252 = 22317101613
BaseRepresentation
bin110000001011…
…100011101100
3212202200110010
4300023203230
511213132002
61130413220
7212232615
oct60134354
925680403
1012630252
117147328
124291210
132802b2b
14196ac0c
15119746c
hexc0b8ec

12630252 has 48 divisors (see below), whose sum is σ = 31564512. Its totient is φ = 3916800.

The previous prime is 12630251. The next prime is 12630253. The reversal of 12630252 is 25203621.

It is an interprime number because it is at equal distance from previous prime (12630251) and next prime (12630253).

It is not an unprimeable number, because it can be changed into a prime (12630251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20298 + ... + 20910.

It is an arithmetic number, because the mean of its divisors is an integer number (657594).

Almost surely, 212630252 is an apocalyptic number.

12630252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782256).

12630252 is an abundant number, since it is smaller than the sum of its proper divisors (18934260).

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

12630252 is a wasteful number, since it uses less digits than its factorization.

12630252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12630252 is about 3553.9065829028. The cubic root of 12630252 is about 232.8827595131.

Adding to 12630252 its reverse (25203621), we get a palindrome (37833873).

The spelling of 12630252 in words is "twelve million, six hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 613 1212 1226 1717 1839 2452 3434 3678 5151 6868 7356 10302 10421 20604 20842 31263 41684 61913 62526 123826 125052 185739 247652 371478 742956 1052521 2105042 3157563 4210084 6315126 12630252