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132246 = 2333179
BaseRepresentation
bin100000010010010110
320201102000
4200102112
513212441
62500130
71060362
oct402226
9221360
10132246
11903a4
1264646
134826a
14362a2
15292b6
hex20496

132246 has 32 divisors (see below), whose sum is σ = 307200. Its totient is φ = 42120.

The previous prime is 132241. The next prime is 132247. The reversal of 132246 is 642231.

It is a happy number.

132246 is nontrivially palindromic in base 12.

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

It is a d-powerful number, because it can be written as 1 + 34 + 25 + 217 + 45 + 62 .

132246 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2132246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153600).

132246 is an abundant number, since it is smaller than the sum of its proper divisors (174954).

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

132246 is a wasteful number, since it uses less digits than its factorization.

132246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132246 is about 363.6564312645. The cubic root of 132246 is about 50.9480439738.

Adding to 132246 its reverse (642231), we get a palindrome (774477).

It can be divided in two parts, 132 and 246, that added together give a triangular number (378 = T27).

The spelling of 132246 in words is "one hundred thirty-two thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 79 93 158 186 237 279 474 558 711 837 1422 1674 2133 2449 4266 4898 7347 14694 22041 44082 66123 132246