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206135670 = 23513975449
BaseRepresentation
bin11000100100101…
…10000101110110
3112100212202222110
430102112011312
5410232320140
632242111450
75052060426
oct1422260566
9470782873
10206135670
11a63a3864
125904b586
1333924c90
141d53c486
151316c380
hexc496176

206135670 has 64 divisors (see below), whose sum is σ = 538372800. Its totient is φ = 50208768.

The previous prime is 206135641. The next prime is 206135681. The reversal of 206135670 is 76531602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35106 + ... + 40554.

It is an arithmetic number, because the mean of its divisors is an integer number (8412075).

Almost surely, 2206135670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206135670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269186400).

206135670 is an abundant number, since it is smaller than the sum of its proper divisors (332237130).

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

206135670 is a wasteful number, since it uses less digits than its factorization.

206135670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 206135670 is about 14357.4256048917. The cubic root of 206135670 is about 590.7236834632.

The spelling of 206135670 in words is "two hundred six million, one hundred thirty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 2522 2910 3783 5449 6305 7566 10898 12610 16347 18915 27245 32694 37830 54490 70837 81735 141674 163470 212511 354185 425022 528553 708370 1057106 1062555 1585659 2125110 2642765 3171318 5285530 6871189 7928295 13742378 15856590 20613567 34355945 41227134 68711890 103067835 206135670