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132065 = 561433
BaseRepresentation
bin100000001111100001
320201011022
4200033201
513211230
62455225
71060013
oct401741
9221138
10132065
119024a
1264515
134815b
14361b3
15291e5
hex203e1

132065 has 8 divisors (see below), whose sum is σ = 161448. Its totient is φ = 103680.

The previous prime is 132059. The next prime is 132071. The reversal of 132065 is 560231.

It is an interprime number because it is at equal distance from previous prime (132059) and next prime (132071).

It can be written as a sum of positive squares in 4 ways, for example, as 5329 + 126736 = 73^2 + 356^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132065 - 24 = 132049 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132065.

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 7 ways as a sum of consecutive naturals, for example, 89 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (20181).

2132065 is an apocalyptic number.

It is an amenable number.

132065 is a deficient number, since it is larger than the sum of its proper divisors (29383).

132065 is an equidigital number, since it uses as much as digits as its factorization.

132065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 132065 is about 363.4074847881. The cubic root of 132065 is about 50.9247898206.

Adding to 132065 its reverse (560231), we get a palindrome (692296).

The spelling of 132065 in words is "one hundred thirty-two thousand, sixty-five".

Divisors: 1 5 61 305 433 2165 26413 132065