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12657414 = 2371127397
BaseRepresentation
bin110000010010…
…001100000110
3212211001201010
4300102030012
511220014124
61131143050
7212405040
oct60221406
925731633
1012657414
117165780
1242a4a86
1328122c3
141976a90
1511a0529
hexc12306

12657414 has 32 divisors (see below), whose sum is σ = 31562496. Its totient is φ = 3287520.

The previous prime is 12657409. The next prime is 12657419. The reversal of 12657414 is 41475621.

It is an interprime number because it is at equal distance from previous prime (12657409) and next prime (12657419).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13237 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (986328).

Almost surely, 212657414 is an apocalyptic number.

12657414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12657414 is an abundant number, since it is smaller than the sum of its proper divisors (18905082).

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

12657414 is a wasteful number, since it uses less digits than its factorization.

12657414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27420.

The product of its digits is 6720, while the sum is 30.

The square root of 12657414 is about 3557.7259590924. The cubic root of 12657414 is about 233.0495820606.

The spelling of 12657414 in words is "twelve million, six hundred fifty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 27397 54794 82191 164382 191779 301367 383558 575337 602734 904101 1150674 1808202 2109569 4219138 6328707 12657414