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206732660 = 22541614133
BaseRepresentation
bin11000101001001…
…11110101110100
3112102000002220012
430110213311310
5410410421120
632302555352
75060125061
oct1424476564
9472002805
10206732660
11a6771342
1259298b58
1333aa3924
141d655c68
15132391c5
hexc527d74

206732660 has 48 divisors (see below), whose sum is σ = 452127312. Its totient is φ = 79334400.

The previous prime is 206732657. The next prime is 206732681. The reversal of 206732660 is 66237602.

It can be written as a sum of positive squares in 8 ways, for example, as 52823824 + 153908836 = 7268^2 + 12406^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47954 + ... + 52086.

It is an arithmetic number, because the mean of its divisors is an integer number (9419319).

Almost surely, 2206732660 is an apocalyptic number.

206732660 is a gapful number since it is divisible by the number (20) 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 206732660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226063656).

206732660 is an abundant number, since it is smaller than the sum of its proper divisors (245394652).

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

206732660 is a wasteful number, since it uses less digits than its factorization.

206732660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 206732660 is about 14378.2008610257. The cubic root of 206732660 is about 591.2933992491.

The spelling of 206732660 in words is "two hundred six million, seven hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 4133 5002 8266 10004 12505 16532 20665 25010 41330 50020 82660 169453 252113 338906 504226 677812 847265 1008452 1260565 1694530 2521130 3389060 5042260 10336633 20673266 41346532 51683165 103366330 206732660