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12814335 = 335234127
BaseRepresentation
bin110000111000…
…011111111111
3220010000222000
4300320133333
511240024320
61134353343
7213630402
oct60703777
926100860
1012814335
117262666
12435b853
132868861
1419b7d39
1511d1c90
hexc387ff

12814335 has 32 divisors (see below), whose sum is σ = 23777280. Its totient is φ = 6535584.

The previous prime is 12814327. The next prime is 12814337. The reversal of 12814335 is 53341821.

It is a happy number.

It is not a de Polignac number, because 12814335 - 23 = 12814327 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12814299 and 12814308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (743040).

Almost surely, 212814335 is an apocalyptic number.

12814335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12814335 is a deficient number, since it is larger than the sum of its proper divisors (10962945).

12814335 is a wasteful number, since it uses less digits than its factorization.

12814335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4158 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12814335 is about 3579.7115805606. The cubic root of 12814335 is about 234.0087110498.

The spelling of 12814335 in words is "twelve million, eight hundred fourteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 4127 12381 20635 37143 61905 94921 111429 185715 284763 474605 557145 854289 1423815 2562867 4271445 12814335