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85836 = 22323311
BaseRepresentation
bin10100111101001100
311100202010
4110331030
510221321
61501220
7505152
oct247514
9140663
1085836
1159543
1241810
13300ba
14233d2
151a676
hex14f4c

85836 has 24 divisors (see below), whose sum is σ = 209664. Its totient is φ = 27280.

The previous prime is 85831. The next prime is 85837. The reversal of 85836 is 63858.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

285836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

85836 is an abundant number, since it is smaller than the sum of its proper divisors (123828).

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

85836 is a wasteful number, since it uses less digits than its factorization.

85836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 85836 is about 292.9778148598. The cubic root of 85836 is about 44.1119737541. Note that the first 3 decimals are identical.

The spelling of 85836 in words is "eighty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 311 622 933 1244 1866 3732 7153 14306 21459 28612 42918 85836