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13187814 = 234153609
BaseRepresentation
bin110010010011…
…101011100110
3220211000021120
4302103223212
511334002224
61150354410
7220044303
oct62235346
926730246
1013187814
117498222
1244bba06
132969853
141a740aa
151257779
hexc93ae6

13187814 has 16 divisors (see below), whose sum is σ = 27019440. Its totient is φ = 4288640.

The previous prime is 13187813. The next prime is 13187833. The reversal of 13187814 is 41878131.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13187813) 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 7 ways as a sum of consecutive naturals, for example, 26559 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (1688715).

Almost surely, 213187814 is an apocalyptic number.

13187814 is an abundant number, since it is smaller than the sum of its proper divisors (13831626).

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

13187814 is a wasteful number, since it uses less digits than its factorization.

13187814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53655.

The product of its digits is 5376, while the sum is 33.

The square root of 13187814 is about 3631.5029946291. The cubic root of 13187814 is about 236.2604015465.

The spelling of 13187814 in words is "thirteen million, one hundred eighty-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 41 82 123 246 53609 107218 160827 321654 2197969 4395938 6593907 13187814