Search a number
-
+
806085 = 3357853
BaseRepresentation
bin11000100110011000101
31111221202000
43010303011
5201243320
625135513
76565050
oct3046305
91457660
10806085
11500695
1232a599
13222b97
1416da97
1510dc90
hexc4cc5

806085 has 32 divisors (see below), whose sum is σ = 1639680. Its totient is φ = 368064.

The previous prime is 806059. The next prime is 806087. The reversal of 806085 is 580608.

It is not a de Polignac number, because 806085 - 29 = 805573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

806085 is a lucky number.

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 806085.

It is not an unprimeable number, because it can be changed into a prime (806087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

2806085 is an apocalyptic number.

It is an amenable number.

806085 is an abundant number, since it is smaller than the sum of its proper divisors (833595).

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

806085 is a wasteful number, since it uses less digits than its factorization.

806085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 806085 is about 897.8223655044. The cubic root of 806085 is about 93.0665496610.

The spelling of 806085 in words is "eight hundred six thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 853 945 2559 4265 5971 7677 12795 17913 23031 29855 38385 53739 89565 115155 161217 268695 806085