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66132 = 223211167
BaseRepresentation
bin10000001001010100
310100201100
4100021110
54104012
61230100
7363543
oct201124
9110640
1066132
1145760
1232330
1324141
141a15a
15148dc
hex10254

66132 has 36 divisors (see below), whose sum is σ = 183456. Its totient is φ = 19920.

The previous prime is 66109. The next prime is 66137. The reversal of 66132 is 23166.

It is a happy number.

66132 is a `hidden beast` number, since 661 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66132.

It is not an unprimeable number, because it can be changed into a prime (66137) by changing a digit.

66132 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 in 11 ways as a sum of consecutive naturals, for example, 313 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

266132 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 66132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

66132 is an abundant number, since it is smaller than the sum of its proper divisors (117324).

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

66132 is a wasteful number, since it uses less digits than its factorization.

66132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 66132 is about 257.1614279008. The cubic root of 66132 is about 40.4393238652.

Adding to 66132 its reverse (23166), we get a palindrome (89298).

The spelling of 66132 in words is "sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 668 1002 1503 1837 2004 3006 3674 5511 6012 7348 11022 16533 22044 33066 66132