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12730328 = 23131091123
BaseRepresentation
bin110000100011…
…111111011000
3212221202201122
4300203333120
511224332303
61132504412
7213130442
oct60437730
925852648
1012730328
117205536
12431b108
132839550
141995492
1511b6e38
hexc23fd8

12730328 has 32 divisors (see below), whose sum is σ = 25964400. Its totient is φ = 5816448.

The previous prime is 12730327. The next prime is 12730349. The reversal of 12730328 is 82303721.

It is a super-2 number, since 2×127303282 = 324122501975168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12730297 and 12730306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10775 + ... + 11897.

Almost surely, 212730328 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 12730328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982200).

12730328 is an abundant number, since it is smaller than the sum of its proper divisors (13234072).

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

12730328 is a wasteful number, since it uses less digits than its factorization.

12730328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12730328 is about 3567.9585199383. The cubic root of 12730328 is about 233.4962254860.

The spelling of 12730328 in words is "twelve million, seven hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1123 1417 2246 2834 4492 5668 8984 11336 14599 29198 58396 116792 122407 244814 489628 979256 1591291 3182582 6365164 12730328