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12827465 = 572411277
BaseRepresentation
bin110000111011…
…101101001001
3220010200222022
4300323231021
511240434330
61134534225
7214013600
oct60735511
926120868
1012827465
117271512
124367375
132871821
1419bca37
1511d5ae5
hexc3bb49

12827465 has 24 divisors (see below), whose sum is σ = 18357192. Its totient is φ = 8574720.

The previous prime is 12827461. The next prime is 12827473. The reversal of 12827465 is 56472821.

It can be written as a sum of positive squares in 4 ways, for example, as 182329 + 12645136 = 427^2 + 3556^2 .

It is not a de Polignac number, because 12827465 - 22 = 12827461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827461) 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, 9407 + ... + 10683.

It is an arithmetic number, because the mean of its divisors is an integer number (764883).

Almost surely, 212827465 is an apocalyptic number.

It is an amenable number.

12827465 is a deficient number, since it is larger than the sum of its proper divisors (5529727).

12827465 is a wasteful number, since it uses less digits than its factorization.

12827465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 12827465 is about 3581.5450576532. The cubic root of 12827465 is about 234.0886081745.

The spelling of 12827465 in words is "twelve million, eight hundred twenty-seven thousand, four hundred sixty-five".

Divisors: 1 5 7 35 41 49 205 245 287 1277 1435 2009 6385 8939 10045 44695 52357 62573 261785 312865 366499 1832495 2565493 12827465