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12727897 = 721322953
BaseRepresentation
bin110000100011…
…011001011001
3212221122101121
4300203121121
511224243042
61132445241
7213120400
oct60433131
925848347
1012727897
117203726
124319821
132838400
141994637
1511b6367
hexc23659

12727897 has 36 divisors (see below), whose sum is σ = 16898220. Its totient is φ = 9539712.

The previous prime is 12727877. The next prime is 12727903. The reversal of 12727897 is 79872721.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 866761 + 11861136 = 931^2 + 3444^2 .

It is not a de Polignac number, because 12727897 - 211 = 12725849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12727817) 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 35 ways as a sum of consecutive naturals, for example, 240123 + ... + 240175.

It is an arithmetic number, because the mean of its divisors is an integer number (469395).

Almost surely, 212727897 is an apocalyptic number.

It is an amenable number.

12727897 is a deficient number, since it is larger than the sum of its proper divisors (4170323).

12727897 is a wasteful number, since it uses less digits than its factorization.

12727897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its digits is 98784, while the sum is 43.

The square root of 12727897 is about 3567.6178326721. The cubic root of 12727897 is about 233.4813616255.

The spelling of 12727897 in words is "twelve million, seven hundred twenty-seven thousand, eight hundred ninety-seven".

Divisors: 1 7 13 29 49 53 91 169 203 371 377 637 689 1183 1421 1537 2597 2639 4823 4901 8281 8957 10759 18473 19981 33761 34307 62699 75313 139867 240149 259753 438893 979069 1818271 12727897