Search a number
-
+
13468 = 2271337
BaseRepresentation
bin11010010011100
3200110211
43102130
5412333
6142204
754160
oct32234
920424
1013468
11a134
127964
136190
144ca0
153ecd
hex349c

13468 has 24 divisors (see below), whose sum is σ = 29792. Its totient is φ = 5184.

The previous prime is 13463. The next prime is 13469. The reversal of 13468 is 86431.

Adding to 13468 its reverse (86431), we get a palindrome (99899).

It can be divided in two parts, 134 and 68, that added together give a palindrome (202).

13468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463) 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, 346 + ... + 382.

213468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896).

13468 is an abundant number, since it is smaller than the sum of its proper divisors (16324).

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

13468 is a wasteful number, since it uses less digits than its factorization.

13468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 13468 is about 116.0517126112. The cubic root of 13468 is about 23.7921872527.

The spelling of 13468 in words is "thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 6734 13468