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13194 = 232733
BaseRepresentation
bin11001110001010
3200002200
43032022
5410234
6141030
753316
oct31612
920080
1013194
119a05
127776
13600c
144b46
153d99
hex338a

13194 has 12 divisors (see below), whose sum is σ = 28626. Its totient is φ = 4392.

The previous prime is 13187. The next prime is 13217. The reversal of 13194 is 49131.

13194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7569 + 5625 = 87^2 + 75^2 .

It is a hoax number, since the sum of its digits (18) 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 (18), and also a Moran number because the ratio is a prime number: 733 = 13194 / (1 + 3 + 1 + 9 + 4).

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is an unprimeable number.

13194 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 349 + ... + 384.

13194 is an abundant number, since it is smaller than the sum of its proper divisors (15432).

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

13194 is a wasteful number, since it uses less digits than its factorization.

13194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 738 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 13194 is about 114.8651383145. The cubic root of 13194 is about 23.6297336614.

Subtracting 13194 from its reverse (49131), we obtain a cube (35937 = 333).

It can be divided in two parts, 131 and 94, that added together give a square (225 = 152).

The spelling of 13194 in words is "thirteen thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 733 1466 2199 4398 6597 13194