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12728427 = 317253277
BaseRepresentation
bin110000100011…
…100001101011
3212221200010020
4300203201223
511224302202
61132451523
7213122055
oct60434153
925850106
1012728427
117204068
124319ba3
13283871a
1419948d5
1511b65bc
hexc2386b

12728427 has 24 divisors (see below), whose sum is σ = 18434736. Its totient is φ = 7807488.

The previous prime is 12728389. The next prime is 12728447. The reversal of 12728427 is 72482721.

It is not a de Polignac number, because 12728427 - 26 = 12728363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12728447) 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 23 ways as a sum of consecutive naturals, for example, 45813 + ... + 46089.

It is an arithmetic number, because the mean of its divisors is an integer number (768114).

Almost surely, 212728427 is an apocalyptic number.

12728427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12728427 is a deficient number, since it is larger than the sum of its proper divisors (5706309).

12728427 is a wasteful number, since it uses less digits than its factorization.

12728427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 12728427 is about 3567.6921111553. The cubic root of 12728427 is about 233.4846023652.

The spelling of 12728427 in words is "twelve million, seven hundred twenty-eight thousand, four hundred twenty-seven".

Divisors: 1 3 17 51 53 159 277 289 831 867 901 2703 4709 14127 14681 15317 44043 45951 80053 240159 249577 748731 4242809 12728427