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12397257 = 323759631
BaseRepresentation
bin101111010010…
…101011001001
3212022211211200
4233102223021
511133203012
61121414413
7210242415
oct57225311
925284750
1012397257
116aa8274
12419a409
132750a72
141909d45
15114d3dc
hexbd2ac9

12397257 has 24 divisors (see below), whose sum is σ = 18732480. Its totient is φ = 7892640.

The previous prime is 12397249. The next prime is 12397261. The reversal of 12397257 is 75279321.

12397257 is a `hidden beast` number, since 12 + 397 + 257 = 666.

It is not a de Polignac number, because 12397257 - 23 = 12397249 is a prime.

It is a super-2 number, since 2×123972572 = 307383962248098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12397277) 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, 19332 + ... + 19962.

It is an arithmetic number, because the mean of its divisors is an integer number (780520).

Almost surely, 212397257 is an apocalyptic number.

It is an amenable number.

12397257 is a deficient number, since it is larger than the sum of its proper divisors (6335223).

12397257 is a wasteful number, since it uses less digits than its factorization.

12397257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 730 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12397257 is about 3520.9738709624. The cubic root of 12397257 is about 231.4418372107.

The spelling of 12397257 in words is "twelve million, three hundred ninety-seven thousand, two hundred fifty-seven".

Divisors: 1 3 9 37 59 111 177 333 531 631 1893 2183 5679 6549 19647 23347 37229 70041 111687 210123 335061 1377473 4132419 12397257