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85306 = 21317193
BaseRepresentation
bin10100110100111010
311100000111
4110310322
510212211
61454534
7503464
oct246472
9140014
1085306
1159101
124144a
132caa0
1423134
151a421
hex14d3a

85306 has 16 divisors (see below), whose sum is σ = 146664. Its totient is φ = 36864.

The previous prime is 85303. The next prime is 85313. The reversal of 85306 is 60358.

85306 = T108 + T109 + ... + T120.

85306 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 60025 + 25281 = 245^2 + 159^2 .

It is a super-2 number, since 2×853062 = 14554227272, which contains 22 as substring.

It is a zygodrome in base 3.

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 in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 538.

285306 is an apocalyptic number.

85306 is a deficient number, since it is larger than the sum of its proper divisors (61358).

85306 is a wasteful number, since it uses less digits than its factorization.

85306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 85306 is about 292.0719089539. The cubic root of 85306 is about 44.0209954896.

The spelling of 85306 in words is "eighty-five thousand, three hundred six".

Divisors: 1 2 13 17 26 34 193 221 386 442 2509 3281 5018 6562 42653 85306