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132068 = 22137241
BaseRepresentation
bin100000001111100100
320201011102
4200033210
513211233
62455232
71060016
oct401744
9221142
10132068
1190252
1264518
1348161
14361b6
15291e8
hex203e4

132068 has 12 divisors (see below), whose sum is σ = 233772. Its totient is φ = 65280.

The previous prime is 132059. The next prime is 132071. The reversal of 132068 is 860231.

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 43264 = 298^2 + 208^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

132068 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (19481).

2132068 is an apocalyptic number.

It is an amenable number.

132068 is a deficient number, since it is larger than the sum of its proper divisors (101704).

132068 is a wasteful number, since it uses less digits than its factorization.

132068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 132068 is about 363.4116123626. The cubic root of 132068 is about 50.9251754217.

Adding to 132068 its reverse (860231), we get a palindrome (992299).

The spelling of 132068 in words is "one hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 4 137 241 274 482 548 964 33017 66034 132068