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12831328 = 2517103229
BaseRepresentation
bin110000111100…
…101001100000
3220010220021101
4300330221200
511241100303
61135004144
7214031056
oct60745140
926126241
1012831328
117274404
124369654
132873503
1419c01d6
1511d6d1d
hexc3ca60

12831328 has 48 divisors (see below), whose sum is σ = 27125280. Its totient is φ = 5953536.

The previous prime is 12831317. The next prime is 12831331. The reversal of 12831328 is 82313821.

It is a junction number, because it is equal to n+sod(n) for n = 12831296 and 12831305.

It is a congruent number.

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, 55918 + ... + 56146.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 212831328 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 12831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562640).

12831328 is an abundant number, since it is smaller than the sum of its proper divisors (14293952).

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

12831328 is a wasteful number, since it uses less digits than its factorization.

12831328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 12831328 is about 3582.0843094489. The cubic root of 12831328 is about 234.1121044651.

The spelling of 12831328 in words is "twelve million, eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 103 136 206 229 272 412 458 544 824 916 1648 1751 1832 3296 3502 3664 3893 7004 7328 7786 14008 15572 23587 28016 31144 47174 56032 62288 94348 124576 188696 377392 400979 754784 801958 1603916 3207832 6415664 12831328