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13132 = 227267
BaseRepresentation
bin11001101001100
3200000101
43031030
5410012
6140444
753200
oct31514
920011
1013132
119959
127724
135c92
144b00
153d57
hex334c

13132 has 18 divisors (see below), whose sum is σ = 27132. Its totient is φ = 5544.

The previous prime is 13127. The next prime is 13147. The reversal of 13132 is 23131.

13132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 38 + 1 + 38 + 23 .

It is a plaindrome in base 16.

It is a nialpdrome in base 7.

It is an unprimeable 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, 163 + ... + 229.

213132 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 13132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566).

13132 is an abundant number, since it is smaller than the sum of its proper divisors (14000).

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

13132 is a wasteful number, since it uses less digits than its factorization.

13132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its digits is 18, while the sum is 10.

The square root of 13132 is about 114.5949388062. The cubic root of 13132 is about 23.5926626621.

Adding to 13132 its reverse (23131), we get a palindrome (36263).

Subtracting 13132 from its reverse (23131), we obtain a palindrome (9999).

The spelling of 13132 in words is "thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 3283 6566 13132