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86034 = 23131103
BaseRepresentation
bin10101000000010010
311101000110
4111000102
510223114
61502150
7505554
oct250022
9141013
1086034
1159703
1241956
1330210
14234d4
151a759
hex15012

86034 has 16 divisors (see below), whose sum is σ = 185472. Its totient is φ = 26448.

The previous prime is 86029. The next prime is 86069. The reversal of 86034 is 43068.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86034.

It is an unprimeable number.

86034 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

286034 is an apocalyptic number.

86034 is an abundant number, since it is smaller than the sum of its proper divisors (99438).

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 (92736).

86034 is a wasteful number, since it uses less digits than its factorization.

86034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 86034 is about 293.3155297627. The cubic root of 86034 is about 44.1458657638.

Subtracting from 86034 its product of nonzero digits (576), we obtain a palindrome (85458).

The spelling of 86034 in words is "eighty-six thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 1103 2206 3309 6618 14339 28678 43017 86034