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12704824 = 2311592447
BaseRepresentation
bin110000011101…
…110000111000
3212220110202001
4300131300320
511223023244
61132150344
7212663206
oct60356070
925813661
1012704824
117198360
1243083b4
13282aa62
14198a076
1511ae5d4
hexc1dc38

12704824 has 32 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 5674720.

The previous prime is 12704821. The next prime is 12704827. The reversal of 12704824 is 42840721.

It is an interprime number because it is at equal distance from previous prime (12704821) and next prime (12704827).

It is a super-2 number, since 2×127048242 = 322825105741952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12704792 and 12704801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3969 + ... + 6415.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 212704824 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 12704824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

12704824 is an abundant number, since it is smaller than the sum of its proper divisors (13733576).

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

12704824 is a wasteful number, since it uses less digits than its factorization.

12704824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 12704824 is about 3564.3826955028. The cubic root of 12704824 is about 233.3401920886.

The spelling of 12704824 in words is "twelve million, seven hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2447 2596 4894 5192 9788 19576 26917 53834 107668 144373 215336 288746 577492 1154984 1588103 3176206 6352412 12704824