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13379814 = 2327106189
BaseRepresentation
bin110011000010…
…100011100110
3221011202122200
4303002203212
511411123224
61154435330
7221504130
oct63024346
927152580
1013379814
1176094a8
124592b46
132a06066
141ac4050
1512945c9
hexcc28e6

13379814 has 24 divisors (see below), whose sum is σ = 33131280. Its totient is φ = 3822768.

The previous prime is 13379809. The next prime is 13379827. The reversal of 13379814 is 41897331.

It is a happy number.

It is a super-3 number, since 3×133798143 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 52969 + ... + 53220.

It is an arithmetic number, because the mean of its divisors is an integer number (1380470).

Almost surely, 213379814 is an apocalyptic number.

13379814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13379814 is an abundant number, since it is smaller than the sum of its proper divisors (19751466).

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

13379814 is a wasteful number, since it uses less digits than its factorization.

13379814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106204 (or 106201 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13379814 is about 3657.8428069014. The cubic root of 13379814 is about 237.4014453507.

The spelling of 13379814 in words is "thirteen million, three hundred seventy-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 106189 212378 318567 637134 743323 955701 1486646 1911402 2229969 4459938 6689907 13379814