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320085 = 3352371
BaseRepresentation
bin1001110001001010101
3121021002000
41032021111
540220320
610505513
72502123
oct1161125
9537060
10320085
111a9537
12135299
13b28cc
1484913
1564c90
hex4e255

320085 has 16 divisors (see below), whose sum is σ = 569280. Its totient is φ = 170640.

The previous prime is 320083. The next prime is 320101. The reversal of 320085 is 580023.

320085 = T248 + T249 + ... + T257.

It is not a de Polignac number, because 320085 - 21 = 320083 is a prime.

320085 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 320085.

It is not an unprimeable number, because it can be changed into a prime (320081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (35580).

2320085 is an apocalyptic number.

It is an amenable number.

320085 is a deficient number, since it is larger than the sum of its proper divisors (249195).

320085 is a wasteful number, since it uses less digits than its factorization.

320085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

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

The square root of 320085 is about 565.7605500563. The cubic root of 320085 is about 68.4050934957.

The spelling of 320085 in words is "three hundred twenty thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 135 2371 7113 11855 21339 35565 64017 106695 320085