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206000730 = 2325131710357
BaseRepresentation
bin11000100011101…
…01001001011010
3112100121220212200
430101311021122
5410214010410
632235151030
75050656135
oct1421651132
9470556780
10206000730
11a6311441
1258ba5476
13338a8730
141d50521c
15131423c0
hexc47525a

206000730 has 96 divisors (see below), whose sum is σ = 610790544. Its totient is φ = 47720448.

The previous prime is 206000723. The next prime is 206000741. The reversal of 206000730 is 37000602.

It can be written as a sum of positive squares in 8 ways, for example, as 78694641 + 127306089 = 8871^2 + 11283^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14712 + ... + 25068.

Almost surely, 2206000730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206000730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305395272).

206000730 is an abundant number, since it is smaller than the sum of its proper divisors (404789814).

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

206000730 is a wasteful number, since it uses less digits than its factorization.

206000730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 206000730 is about 14352.7255251398. The cubic root of 206000730 is about 590.5947559889.

The spelling of 206000730 in words is "two hundred six million, seven hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 10357 19890 20714 31071 51785 62142 93213 103570 134641 155355 176069 186426 269282 310710 352138 403923 466065 528207 673205 807846 880345 932130 1056414 1211769 1346410 1584621 1760690 2019615 2288897 2423538 2641035 3169242 4039230 4577794 5282070 6058845 6866691 7923105 11444485 12117690 13733382 15846210 20600073 22888970 34333455 41200146 68666910 103000365 206000730