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82660 = 2254133
BaseRepresentation
bin10100001011100100
311012101111
4110023210
510121120
61434404
7462664
oct241344
9135344
1082660
1157116
123ba04
132b816
14221a4
151975a
hex142e4

82660 has 12 divisors (see below), whose sum is σ = 173628. Its totient is φ = 33056.

The previous prime is 82657. The next prime is 82699. The reversal of 82660 is 6628.

It can be written as a sum of positive squares in 2 ways, for example, as 45796 + 36864 = 214^2 + 192^2 .

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 3 ways as a sum of consecutive naturals, for example, 2047 + ... + 2086.

It is an arithmetic number, because the mean of its divisors is an integer number (14469).

282660 is an apocalyptic number.

It is an amenable number.

82660 is an abundant number, since it is smaller than the sum of its proper divisors (90968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814).

82660 is a wasteful number, since it uses less digits than its factorization.

82660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 82660 is about 287.5065216652. The cubic root of 82660 is about 43.5610627880.

The spelling of 82660 in words is "eighty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 4133 8266 16532 20665 41330 82660