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206115030 = 2355112701
BaseRepresentation
bin11000100100100…
…01000011010110
3112100211201200000
430102101003112
5410231140110
632241432130
75051643312
oct1422210326
9470751600
10206115030
11a638a300
125903b646
1333918774
141d534b42
15131661c0
hexc4910d6

206115030 has 144 divisors (see below), whose sum is σ = 611734032. Its totient is φ = 49896000.

The previous prime is 206114971. The next prime is 206115047. The reversal of 206115030 is 30511602.

206115030 is a `hidden beast` number, since 2 + 0 + 611 + 50 + 3 + 0 = 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 = 206114994 and 206115012.

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, 293680 + ... + 294380.

It is an arithmetic number, because the mean of its divisors is an integer number (4248153).

Almost surely, 2206115030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206115030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305867016).

206115030 is an abundant number, since it is smaller than the sum of its proper divisors (405619002).

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

206115030 is a wasteful number, since it uses less digits than its factorization.

206115030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 206115030 is about 14356.7067950836. The cubic root of 206115030 is about 590.7039667659.

Adding to 206115030 its reverse (30511602), we get a palindrome (236626632).

The spelling of 206115030 in words is "two hundred six million, one hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 243 270 297 330 363 405 486 495 594 605 701 726 810 891 990 1089 1210 1215 1402 1485 1782 1815 2103 2178 2430 2673 2970 3267 3505 3630 4206 4455 5346 5445 6309 6534 7010 7711 8910 9801 10515 10890 12618 13365 15422 16335 18927 19602 21030 23133 26730 29403 31545 32670 37854 38555 46266 49005 56781 58806 63090 69399 77110 84821 94635 98010 113562 115665 138798 147015 169642 170343 189270 208197 231330 254463 283905 294030 340686 346995 416394 424105 508926 567810 624591 693990 763389 848210 851715 1040985 1249182 1272315 1526778 1703430 1873773 2081970 2290167 2544630 3122955 3747546 3816945 4580334 6245910 6870501 7633890 9368865 11450835 13741002 18737730 20611503 22901670 34352505 41223006 68705010 103057515 206115030