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12728835 = 3257172377
BaseRepresentation
bin110000100011…
…101000000011
3212221200200100
4300203220003
511224310320
61132453443
7213123210
oct60435003
925850610
1012728835
1172043a9
12431a283
132838972
141994b07
1511b6790
hexc23a03

12728835 has 48 divisors (see below), whose sum is σ = 26709696. Its totient is φ = 5474304.

The previous prime is 12728831. The next prime is 12728857. The reversal of 12728835 is 53882721.

It is not a de Polignac number, because 12728835 - 22 = 12728831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12728835.

It is not an unprimeable number, because it can be changed into a prime (12728831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4167 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (556452).

Almost surely, 212728835 is an apocalyptic number.

12728835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12728835 is an abundant number, since it is smaller than the sum of its proper divisors (13980861).

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

12728835 is a wasteful number, since it uses less digits than its factorization.

12728835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2409 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12728835 is about 3567.7492905192. The cubic root of 12728835 is about 233.4870970621.

The spelling of 12728835 in words is "twelve million, seven hundred twenty-eight thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 2377 5355 7131 11885 16639 21393 35655 40409 49917 83195 106965 121227 149751 202045 249585 282863 363681 606135 748755 848589 1414315 1818405 2545767 4242945 12728835