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12838660 = 2253731721
BaseRepresentation
bin110000111110…
…011100000100
3220011021022221
4300332130010
511241314120
61135102124
7214061332
oct60763404
926137287
1012838660
11727996a
124371944
132876953
1419c2b52
1511d90aa
hexc3e704

12838660 has 24 divisors (see below), whose sum is σ = 27049176. Its totient is φ = 5118720.

The previous prime is 12838649. The next prime is 12838691. The reversal of 12838660 is 6683821.

It can be written as a sum of positive squares in 4 ways, for example, as 2611456 + 10227204 = 1616^2 + 3198^2 .

It is an unprimeable number.

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, 6600 + ... + 8320.

It is an arithmetic number, because the mean of its divisors is an integer number (1127049).

Almost surely, 212838660 is an apocalyptic number.

12838660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12838660 is an abundant number, since it is smaller than the sum of its proper divisors (14210516).

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

12838660 is a wasteful number, since it uses less digits than its factorization.

12838660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 12838660 is about 3583.1075897885. The cubic root of 12838660 is about 234.1566876162.

The spelling of 12838660 in words is "twelve million, eight hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 373 746 1492 1721 1865 3442 3730 6884 7460 8605 17210 34420 641933 1283866 2567732 3209665 6419330 12838660