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12841192 = 2371331569
BaseRepresentation
bin110000111111…
…000011101000
3220011101210201
4300333003220
511241404232
61135121544
7214101610
oct60770350
926141721
1012841192
117280861
1243732b4
132877b50
1419c3a40
1511d9be7
hexc3f0e8

12841192 has 64 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 4907520.

The previous prime is 12841139. The next prime is 12841193. The reversal of 12841192 is 29114821.

12841192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12841192.

It is not an unprimeable number, because it can be changed into a prime (12841193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22284 + ... + 22852.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 212841192 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 12841192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

12841192 is an abundant number, since it is smaller than the sum of its proper divisors (17802008).

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

12841192 is a wasteful number, since it uses less digits than its factorization.

12841192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 12841192 is about 3583.4608969542. The cubic root of 12841192 is about 234.1720798187.

The spelling of 12841192 in words is "twelve million, eight hundred forty-one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 569 728 806 868 1138 1612 1736 2276 2821 3224 3983 4552 5642 7397 7966 11284 14794 15932 17639 22568 29588 31864 35278 51779 59176 70556 103558 123473 141112 207116 229307 246946 414232 458614 493892 917228 987784 1605149 1834456 3210298 6420596 12841192