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85304 = 2310663
BaseRepresentation
bin10100110100111000
311100000102
4110310320
510212204
61454532
7503462
oct246470
9140012
1085304
11590aa
1241448
132ca9b
1423132
151a41e
hex14d38

85304 has 8 divisors (see below), whose sum is σ = 159960. Its totient is φ = 42648.

The previous prime is 85303. The next prime is 85313. The reversal of 85304 is 40358.

85304 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (8).

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 85304.

It is not an unprimeable number, because it can be changed into a prime (85303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5324 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (19995).

285304 is an apocalyptic number.

It is an amenable number.

85304 is a deficient number, since it is larger than the sum of its proper divisors (74656).

85304 is a wasteful number, since it uses less digits than its factorization.

85304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 85304 is about 292.0684851195. The cubic root of 85304 is about 44.0206514627.

The spelling of 85304 in words is "eighty-five thousand, three hundred four".

Divisors: 1 2 4 8 10663 21326 42652 85304