Search a number
-
+
13089414 = 2313414093
BaseRepresentation
bin110001111011…
…101010000110
3220122000022010
4301323222012
511322330124
61144315050
7216154362
oct61735206
926560263
1013089414
1174302a8
124472a86
132933b20
141a4a2a2
151238529
hexc7ba86

13089414 has 32 divisors (see below), whose sum is σ = 28887264. Its totient is φ = 3928320.

The previous prime is 13089413. The next prime is 13089437. The reversal of 13089414 is 41498031.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13089413) 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 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (902727).

Almost surely, 213089414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13089414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443632).

13089414 is an abundant number, since it is smaller than the sum of its proper divisors (15797850).

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

13089414 is a wasteful number, since it uses less digits than its factorization.

13089414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13089414 is about 3617.9295183848. The cubic root of 13089414 is about 235.6713202024.

The spelling of 13089414 in words is "thirteen million, eighty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 3198 4093 8186 12279 24558 53209 106418 159627 167813 319254 335626 503439 1006878 2181569 4363138 6544707 13089414