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12810028 = 22711219199
BaseRepresentation
bin110000110111…
…011100101100
3220002211001111
4300313130230
511234410103
61134321404
7213612010
oct60673454
926084044
1012810028
11725a400
124359264
1328668ca
1419b6540
1511d086d
hexc3772c

12810028 has 72 divisors (see below), whose sum is σ = 29792000. Its totient is φ = 4704480.

The previous prime is 12810023. The next prime is 12810041. The reversal of 12810028 is 82001821.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 12809990 and 12810008.

It is not an unprimeable number, because it can be changed into a prime (12810023) 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 23 ways as a sum of consecutive naturals, for example, 64273 + ... + 64471.

Almost surely, 212810028 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 12810028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896000).

12810028 is an abundant number, since it is smaller than the sum of its proper divisors (16981972).

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

12810028 is a wasteful number, since it uses less digits than its factorization.

12810028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 12810028 is about 3579.1099452238. The cubic root of 12810028 is about 233.9824907151.

Adding to 12810028 its reverse (82001821), we get a palindrome (94811849).

The spelling of 12810028 in words is "twelve million, eight hundred ten thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 199 209 242 266 308 398 418 484 532 796 836 847 1393 1463 1694 2189 2299 2786 2926 3388 3781 4378 4598 5572 5852 7562 8756 9196 15124 15323 16093 24079 26467 30646 32186 41591 48158 52934 61292 64372 83182 96316 105868 166364 168553 291137 337106 457501 582274 674212 915002 1164548 1830004 3202507 6405014 12810028