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206543064 = 233713175563
BaseRepresentation
bin11000100111110…
…01100011011000
3112101122110211010
430103321203120
5410333334224
632254533520
75055405240
oct1423714330
9471573733
10206543064
11a6651952
12592072a0
1333a38540
141d606b20
15131ece29
hexc4f98d8

206543064 has 128 divisors (see below), whose sum is σ = 673021440. Its totient is φ = 51259392.

The previous prime is 206543039. The next prime is 206543087. The reversal of 206543064 is 460345602.

206543064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34347 + ... + 39909.

It is an arithmetic number, because the mean of its divisors is an integer number (5257980).

Almost surely, 2206543064 is an apocalyptic number.

206543064 is a gapful number since it is divisible by the number (24) 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 206543064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336510720).

206543064 is an abundant number, since it is smaller than the sum of its proper divisors (466478376).

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

206543064 is a wasteful number, since it uses less digits than its factorization.

206543064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 206543064 is about 14371.6061732849. The cubic root of 206543064 is about 591.1125841614.

Adding to 206543064 its reverse (460345602), we get a palindrome (666888666).

The spelling of 206543064 in words is "two hundred six million, five hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 5563 6188 9282 11126 12376 16689 18564 22252 33378 37128 38941 44504 66756 72319 77882 94571 116823 133512 144638 155764 189142 216957 233646 283713 289276 311528 378284 433914 467292 506233 567426 578552 661997 756568 867828 934584 1012466 1134852 1229423 1323994 1518699 1735656 1985991 2024932 2269704 2458846 2647988 3037398 3688269 3971982 4049864 4917692 5295976 6074796 7376538 7943964 8605961 9835384 12149592 14753076 15887928 17211922 25817883 29506152 34423844 51635766 68847688 103271532 206543064