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82035 = 3251823
BaseRepresentation
bin10100000001110011
311011112100
4110001303
510111120
61431443
7461112
oct240163
9134470
1082035
11566a8
123b583
132b455
1421c79
1519490
hex14073

82035 has 12 divisors (see below), whose sum is σ = 142272. Its totient is φ = 43728.

The previous prime is 82031. The next prime is 82037. The reversal of 82035 is 53028.

It is not a de Polignac number, because 82035 - 22 = 82031 is a prime.

82035 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 81999 and 82017.

It is not an unprimeable number, because it can be changed into a prime (82031) 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 11 ways as a sum of consecutive naturals, for example, 867 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (11856).

282035 is an apocalyptic number.

82035 is a deficient number, since it is larger than the sum of its proper divisors (60237).

82035 is a wasteful number, since it uses less digits than its factorization.

82035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 82035 is about 286.4175273966. The cubic root of 82035 is about 43.4509951513.

The spelling of 82035 in words is "eighty-two thousand, thirty-five".

Divisors: 1 3 5 9 15 45 1823 5469 9115 16407 27345 82035