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12306632 = 2313731621
BaseRepresentation
bin101110111100…
…100011001000
3212011020112012
4232330203020
511122303012
61115435052
7206414252
oct56744310
925136465
1012306632
116a46178
124155a88
13271b740
1418c4cd2
151131622
hexbbc8c8

12306632 has 32 divisors (see below), whose sum is σ = 25205880. Its totient is φ = 5598720.

The previous prime is 12306631. The next prime is 12306649. The reversal of 12306632 is 23660321.

12306632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10329796 + 1976836 = 3214^2 + 1406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12306598 and 12306607.

It is not an unprimeable number, because it can be changed into a prime (12306631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6782 + ... + 8402.

Almost surely, 212306632 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 12306632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602940).

12306632 is an abundant number, since it is smaller than the sum of its proper divisors (12899248).

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

12306632 is a wasteful number, since it uses less digits than its factorization.

12306632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 12306632 is about 3508.0809568766. The cubic root of 12306632 is about 230.8765042684.

Adding to 12306632 its reverse (23660321), we get a palindrome (35966953).

The spelling of 12306632 in words is "twelve million, three hundred six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1621 1898 3242 3796 6484 7592 12968 21073 42146 84292 118333 168584 236666 473332 946664 1538329 3076658 6153316 12306632