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205086 = 23719257
BaseRepresentation
bin110010000100011110
3101102022210
4302010132
523030321
64221250
71512630
oct620436
9342283
10205086
111300a2
129a826
137246b
1454a50
1540b76
hex3211e

205086 has 32 divisors (see below), whose sum is σ = 495360. Its totient is φ = 55296.

The previous prime is 205081. The next prime is 205097. The reversal of 205086 is 680502.

It is a happy number.

205086 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205081) by changing a digit.

205086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (15480).

2205086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247680).

205086 is an abundant number, since it is smaller than the sum of its proper divisors (290274).

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

205086 is a wasteful number, since it uses less digits than its factorization.

205086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205086 is about 452.8642180610. The cubic root of 205086 is about 58.9719295753.

Adding to 205086 its reverse (680502), we get a palindrome (885588).

The spelling of 205086 in words is "two hundred five thousand, eighty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 257 266 399 514 771 798 1542 1799 3598 4883 5397 9766 10794 14649 29298 34181 68362 102543 205086