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12675728 = 2413149409
BaseRepresentation
bin110000010110…
…101010010000
3212211222211102
4300112222100
511221110403
61131403532
7212512322
oct60265220
925758742
1012675728
11717850a
1242b35a8
13281a740
14197d612
1511a5b88
hexc16a90

12675728 has 40 divisors (see below), whose sum is σ = 26691000. Its totient is φ = 5796864.

The previous prime is 12675713. The next prime is 12675749. The reversal of 12675728 is 82757621.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 12054784 = 788^2 + 3472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12675691 and 12675700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30788 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (667275).

Almost surely, 212675728 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 12675728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345500).

12675728 is an abundant number, since it is smaller than the sum of its proper divisors (14015272).

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

12675728 is a wasteful number, since it uses less digits than its factorization.

12675728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 12675728 is about 3560.2988638596. The cubic root of 12675728 is about 233.1619276317.

The spelling of 12675728 in words is "twelve million, six hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 409 596 818 1192 1636 1937 2384 3272 3874 5317 6544 7748 10634 15496 21268 30992 42536 60941 85072 121882 243764 487528 792233 975056 1584466 3168932 6337864 12675728