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83060 = 2254153
BaseRepresentation
bin10100010001110100
311012221022
4110101310
510124220
61440312
7464105
oct242164
9135838
1083060
115744a
1240098
132ba63
14223ac
1519925
hex14474

83060 has 12 divisors (see below), whose sum is σ = 174468. Its totient is φ = 33216.

The previous prime is 83059. The next prime is 83063. The reversal of 83060 is 6038.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11236 + 71824 = 106^2 + 268^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83060.

It is not an unprimeable number, because it can be changed into a prime (83063) by changing a digit.

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, 2057 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (14539).

283060 is an apocalyptic number.

It is an amenable number.

83060 is an abundant number, since it is smaller than the sum of its proper divisors (91408).

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 (87234).

83060 is a wasteful number, since it uses less digits than its factorization.

83060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 83060 is about 288.2013185258. The cubic root of 83060 is about 43.6312151965.

Adding to 83060 its reverse (6038), we get a palindrome (89098).

The spelling of 83060 in words is "eighty-three thousand, sixty".

Divisors: 1 2 4 5 10 20 4153 8306 16612 20765 41530 83060