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132066 = 232112329
BaseRepresentation
bin100000001111100010
320201011100
4200033202
513211231
62455230
71060014
oct401742
9221140
10132066
1190250
1264516
134815c
14361b4
15291e6
hex203e2

132066 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 36960.

The previous prime is 132059. The next prime is 132071. The reversal of 132066 is 660231.

It is a happy number.

132066 is nontrivially palindromic in base 5.

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

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 4540 + ... + 4568.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2132066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

132066 is an abundant number, since it is smaller than the sum of its proper divisors (204894).

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

132066 is a wasteful number, since it uses less digits than its factorization.

132066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

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

The square root of 132066 is about 363.4088606515. The cubic root of 132066 is about 50.9249183549.

132066 divided by its sum of digits (18) gives a palindrome (7337).

Adding to 132066 its reverse (660231), we get a palindrome (792297).

The spelling of 132066 in words is "one hundred thirty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 138 174 198 207 253 261 319 414 506 522 638 667 759 957 1334 1518 1914 2001 2277 2871 4002 4554 5742 6003 7337 12006 14674 22011 44022 66033 132066