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12886328 = 2371331571
BaseRepresentation
bin110001001010…
…000100111000
3220020200201102
4301022010320
511244330303
61140110532
7214350320
oct61120470
926220642
1012886328
117301764
124395448
132892560
1419d6280
1511e8288
hexc4a138

12886328 has 64 divisors (see below), whose sum is σ = 30750720. Its totient is φ = 4924800.

The previous prime is 12886327. The next prime is 12886337. The reversal of 12886328 is 82368821.

It is a junction number, because it is equal to n+sod(n) for n = 12886291 and 12886300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886327) 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, 22283 + ... + 22853.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 212886328 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 12886328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375360).

12886328 is an abundant number, since it is smaller than the sum of its proper divisors (17864392).

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

12886328 is a wasteful number, since it uses less digits than its factorization.

12886328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 12886328 is about 3589.7531948589. The cubic root of 12886328 is about 234.4461258029.

The spelling of 12886328 in words is "twelve million, eight hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 571 728 806 868 1142 1612 1736 2284 2821 3224 3997 4568 5642 7423 7994 11284 14846 15988 17701 22568 29692 31976 35402 51961 59384 70804 103922 123907 141608 207844 230113 247814 415688 460226 495628 920452 991256 1610791 1840904 3221582 6443164 12886328