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12368385 = 325274853
BaseRepresentation
bin101111001011…
…101000000001
3212021101020100
4233023220001
511131242020
61121033013
7210062301
oct57135001
925241210
1012368385
116a88607
124185769
132740893
1418dd601
151144a90
hexbcba01

12368385 has 12 divisors (see below), whose sum is σ = 21438612. Its totient is φ = 6596448.

The previous prime is 12368381. The next prime is 12368387. The reversal of 12368385 is 58386321.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 10870209 = 1224^2 + 3297^2 .

It is not a de Polignac number, because 12368385 - 22 = 12368381 is a prime.

It is a super-3 number, since 3×123683853 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12368381) 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 11 ways as a sum of consecutive naturals, for example, 137382 + ... + 137471.

It is an arithmetic number, because the mean of its divisors is an integer number (1786551).

Almost surely, 212368385 is an apocalyptic number.

12368385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12368385 is a deficient number, since it is larger than the sum of its proper divisors (9070227).

12368385 is a wasteful number, since it uses less digits than its factorization.

12368385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274864 (or 274861 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12368385 is about 3516.8714790279. The cubic root of 12368385 is about 231.2620290796.

The spelling of 12368385 in words is "twelve million, three hundred sixty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 274853 824559 1374265 2473677 4122795 12368385