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206313030 = 232572114253
BaseRepresentation
bin11000100110000…
…01011001000110
3112101012210021100
430103001121012
5410304004110
632250000530
75053426500
oct1423013106
9471183240
10206313030
11a6505040
1259116146
1333987921
141d586d70
15131a4bc0
hexc4c1646

206313030 has 144 divisors (see below), whose sum is σ = 680878224. Its totient is φ = 42860160.

The previous prime is 206312959. The next prime is 206313067. The reversal of 206313030 is 30313602.

It is a happy number.

206313030 is a `hidden beast` number, since 2 + 0 + 631 + 3 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206312994 and 206313012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46384 + ... + 50636.

It is an arithmetic number, because the mean of its divisors is an integer number (4728321).

Almost surely, 2206313030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340439112).

206313030 is an abundant number, since it is smaller than the sum of its proper divisors (474565194).

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

206313030 is a wasteful number, since it uses less digits than its factorization.

206313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 206313030 is about 14363.6008716477. The cubic root of 206313030 is about 590.8930552794.

Adding to 206313030 its reverse (30313602), we get a palindrome (236626632).

It can be divided in two parts, 206 and 313030, that added together give a triangular number (313236 = T791).

The spelling of 206313030 in words is "two hundred six million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4253 4410 4851 5390 6930 8085 8506 9702 12759 16170 21265 24255 25518 29771 38277 42530 46783 48510 59542 63795 76554 89313 93566 127590 140349 148855 178626 191385 208397 233915 267939 280698 297710 327481 382770 416794 421047 446565 467830 535878 625191 654962 701745 842094 893130 982443 1041985 1250382 1339695 1403490 1637405 1875573 1964886 2083970 2105235 2292367 2679390 2947329 3125955 3274810 3751146 4210470 4584734 4912215 5894658 6251910 6877101 9377865 9824430 11461835 13754202 14736645 18755730 20631303 22923670 29473290 34385505 41262606 68771010 103156515 206313030