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13032 = 2332181
BaseRepresentation
bin11001011101000
3122212200
43023220
5404112
6140200
752665
oct31350
918780
1013032
119878
127660
135c16
144a6c
153cdc
hex32e8

13032 has 24 divisors (see below), whose sum is σ = 35490. Its totient is φ = 4320.

The previous prime is 13009. The next prime is 13033. The reversal of 13032 is 23031.

Adding to 13032 its reverse (23031), we get a palindrome (36063).

Subtracting 13032 from its reverse (23031), we obtain a palindrome (9999).

It is a happy number.

13032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13032 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 36 = 114^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13033) 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 5 ways as a sum of consecutive naturals, for example, 19 + ... + 162.

213032 is an apocalyptic number.

13032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17745).

13032 is an abundant number, since it is smaller than the sum of its proper divisors (22458).

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

13032 is a wasteful number, since it uses less digits than its factorization.

13032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13032 is about 114.1577855426. The cubic root of 13032 is about 23.5326240712.

The spelling of 13032 in words is "thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 13032