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13332 = 22311101
BaseRepresentation
bin11010000010100
3200021210
43100110
5411312
6141420
753604
oct32024
920253
1013332
11a020
127870
1360b7
144c04
153e3c
hex3414

13332 has 24 divisors (see below), whose sum is σ = 34272. Its totient is φ = 4000.

The previous prime is 13331. The next prime is 13337. The reversal of 13332 is 23331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 34 + 38 + 38 + 27 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (1428).

213332 is an apocalyptic number.

13332 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 13332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136).

13332 is an abundant number, since it is smaller than the sum of its proper divisors (20940).

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

13332 is a wasteful number, since it uses less digits than its factorization.

13332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its digits is 54, while the sum is 12.

The square root of 13332 is about 115.4642801909. The cubic root of 13332 is about 23.7118315829.

13332 divided by its sum of digits (12) gives a palindrome (1111).

Adding to 13332 its reverse (23331), we get a palindrome (36663).

Subtracting 13332 from its reverse (23331), we obtain a palindrome (9999).

It can be divided in two parts, 1 and 3332, that added together give a palindrome (3333).

The spelling of 13332 in words is "thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332