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13482 = 2327107

13482 has 24 divisors (see below), whose sum is σ = 33696. Its totient is φ = 3816.

The previous prime is 13477. The next prime is 13487. The reversal of 13482 is 28431.

It can be divided in two parts, 134 and 82, that added together give a cube (216 = 63).

It is a happy number.

13482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13477) and next prime (13487).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13482.

It is not an unprimeable number, because it can be changed into a prime (13487) 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 11 ways as a sum of consecutive naturals, for example, 73 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

213482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848).

13482 is an abundant number, since it is smaller than the sum of its proper divisors (20214).

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

13482 is a wasteful number, since it uses less digits than its factorization.

13482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13482 is about 116.1120148822. The cubic root of 13482 is about 23.8004283989.

The spelling of 13482 in words is "thirteen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 13482