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13363 = 72383
BaseRepresentation
bin11010000110011
3200022221
43100303
5411423
6141511
753650
oct32063
920287
1013363
11a049
127897
13610c
144c27
153e5d
hex3433

13363 has 8 divisors (see below), whose sum is σ = 16128. Its totient is φ = 10824.

The previous prime is 13339. The next prime is 13367. The reversal of 13363 is 36331.

13363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13363 - 25 = 13331 is a prime.

13363 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

213363 is an apocalyptic number.

13363 is a deficient number, since it is larger than the sum of its proper divisors (2765).

13363 is an equidigital number, since it uses as much as digits as its factorization.

13363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its digits is 162, while the sum is 16.

The square root of 13363 is about 115.5984428961. The cubic root of 13363 is about 23.7301958638.

Adding to 13363 its reverse (36331), we get a palindrome (49694).

It can be divided in two parts, 133 and 63, that added together give a square (196 = 142).

The spelling of 13363 in words is "thirteen thousand, three hundred sixty-three".

Divisors: 1 7 23 83 161 581 1909 13363