Search a number
12032 = 2847
BaseRepresentation
bin10111100000000
3121111122
42330000
5341112
6131412
750036
oct27400
917448
1012032
119049
126b68
135627
144556
153872
hex2f00

12032 has 18 divisors (see below), whose sum is σ = 24528. Its totient is φ = 5888.

The previous prime is 12011. The next prime is 12037. The reversal of 12032 is 23021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12037) by changing a digit.

12032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 233 + ... + 279.

212032 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 12032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264).

12032 is an abundant number, since it is smaller than the sum of its proper divisors (12496).

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

12032 is an frugal number, since it uses more digits than its factorization.

12032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 12032 is about 109.6904736064. The cubic root of 12032 is about 22.9146172639.

Adding to 12032 its reverse (23021), we get a palindrome (35053).

The spelling of 12032 in words is "twelve thousand, thirty-two".