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205040082 = 231343113541
BaseRepresentation
bin11000011100010…
…10100111010010
3112021211010010010
430032022213102
5404442240312
632202415350
75036545332
oct1416124722
9467733103
10205040082
11a5815715
1258801556
13336303c0
141d3350c2
151300293c
hexc38a9d2

205040082 has 64 divisors (see below), whose sum is σ = 456736896. Its totient is φ = 60963840.

The previous prime is 205040053. The next prime is 205040083. The reversal of 205040082 is 280040502.

It is not an unprimeable number, because it can be changed into a prime (205040083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378732 + ... + 379272.

It is an arithmetic number, because the mean of its divisors is an integer number (7136514).

Almost surely, 2205040082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205040082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228368448).

205040082 is an abundant number, since it is smaller than the sum of its proper divisors (251696814).

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

205040082 is a wasteful number, since it uses less digits than its factorization.

205040082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 205040082 is about 14319.2207190196. The cubic root of 205040082 is about 589.6752804755.

Adding to 205040082 its reverse (280040502), we get a palindrome (485080584).

The spelling of 205040082 in words is "two hundred five million, forty thousand, eighty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 113 129 226 258 339 541 559 678 1082 1118 1469 1623 1677 2938 3246 3354 4407 4859 7033 8814 9718 14066 14577 21099 23263 29154 42198 46526 61133 63167 69789 122266 126334 139578 183399 189501 302419 366798 379002 604838 794729 907257 1589458 1814514 2384187 2628719 4768374 5257438 7886157 15772314 34173347 68346694 102520041 205040082