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206512068 = 22373131383
BaseRepresentation
bin11000100111100…
…01111111000100
3112101120220022010
430103301333010
5410331341233
632254134220
75055216000
oct1423617704
9471526263
10206512068
11a6630634
12591b1370
1333a273b9
141d5d9700
15131e3b63
hexc4f1fc4

206512068 has 96 divisors (see below), whose sum is σ = 567705600. Its totient is φ = 58400160.

The previous prime is 206512067. The next prime is 206512081. The reversal of 206512068 is 860215602.

206512068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206512067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539005 + ... + 539387.

It is an arithmetic number, because the mean of its divisors is an integer number (5913600).

Almost surely, 2206512068 is an apocalyptic number.

206512068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206512068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283852800).

206512068 is an abundant number, since it is smaller than the sum of its proper divisors (361193532).

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

206512068 is a wasteful number, since it uses less digits than its factorization.

206512068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 206512068 is about 14370.5277564883. The cubic root of 206512068 is about 591.0830131817.

The spelling of 206512068 in words is "two hundred six million, five hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 131 147 196 262 294 343 383 393 524 588 686 766 786 917 1029 1149 1372 1532 1572 1834 2058 2298 2681 2751 3668 4116 4596 5362 5502 6419 8043 10724 11004 12838 16086 18767 19257 25676 32172 37534 38514 44933 50173 56301 75068 77028 89866 100346 112602 131369 134799 150519 179732 200692 225204 262738 269598 301038 351211 394107 525476 539196 602076 702422 788214 1053633 1404844 1576428 2107266 2458477 4214532 4916954 7375431 9833908 14750862 17209339 29501724 34418678 51628017 68837356 103256034 206512068