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12630516 = 22319311787
BaseRepresentation
bin110000001011…
…100111110100
3212202200210220
4300023213310
511213134031
61130414340
7212233443
oct60134764
925680726
1012630516
117147548
1242913b0
132802ca2
14196ad5a
151197596
hexc0b9f4

12630516 has 48 divisors (see below), whose sum is σ = 32040960. Its totient is φ = 3857760.

The previous prime is 12630511. The next prime is 12630517. The reversal of 12630516 is 61503621.

12630516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6175 + ... + 7961.

It is an arithmetic number, because the mean of its divisors is an integer number (667520).

Almost surely, 212630516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020480).

12630516 is an abundant number, since it is smaller than the sum of its proper divisors (19410444).

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

12630516 is a wasteful number, since it uses less digits than its factorization.

12630516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12630516 is about 3553.9437249343. The cubic root of 12630516 is about 232.8843820888.

The spelling of 12630516 in words is "twelve million, six hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 1787 2356 3534 3574 5361 7068 7148 10722 21444 33953 55397 67906 101859 110794 135812 166191 203718 221588 332382 407436 664764 1052543 2105086 3157629 4210172 6315258 12630516