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13243 = 171941
BaseRepresentation
bin11001110111011
3200011111
43032323
5410433
6141151
753416
oct31673
920144
1013243
119a4a
1277b7
136049
144b7d
153dcd
hex33bb

13243 has 8 divisors (see below), whose sum is σ = 15120. Its totient is φ = 11520.

The previous prime is 13241. The next prime is 13249. The reversal of 13243 is 34231.

13243 = T2 + T3 + ... + T42.

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 13243 - 21 = 13241 is a prime.

It is a Duffinian number.

13243 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

13243 is a Friedman number, since it can be written as 323*41, using all its digits and the basic arithmetic operations.

213243 is an apocalyptic number.

13243 is a deficient number, since it is larger than the sum of its proper divisors (1877).

13243 is a wasteful number, since it uses less digits than its factorization.

13243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its digits is 72, while the sum is 13.

The square root of 13243 is about 115.0782342583. The cubic root of 13243 is about 23.6589496319.

Adding to 13243 its reverse (34231), we get a palindrome (47474).

It can be divided in two parts, 13 and 243, that added together give a 8-th power (256 = 28).

The spelling of 13243 in words is "thirteen thousand, two hundred forty-three".

Divisors: 1 17 19 41 323 697 779 13243