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206499680 = 2551731279
BaseRepresentation
bin11000100111011…
…10111101100000
3112101120021022022
430103232331200
5410330442210
632254001012
75055134612
oct1423567540
9471507268
10206499680
11a66222a2
12591a6168
1333a2187a
141d5d4db2
15131e0155
hexc4eef60

206499680 has 144 divisors (see below), whose sum is σ = 540509760. Its totient is φ = 74280960.

The previous prime is 206499679. The next prime is 206499719. The reversal of 206499680 is 86994602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2613881 + ... + 2613959.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2206499680 is an apocalyptic number.

206499680 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 206499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270254880).

206499680 is an abundant number, since it is smaller than the sum of its proper divisors (334010080).

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

206499680 is a wasteful number, since it uses less digits than its factorization.

206499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 206499680 is about 14370.0967289716. The cubic root of 206499680 is about 591.0711938841.

The spelling of 206499680 in words is "two hundred six million, four hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 79 80 85 124 136 155 158 160 170 248 272 310 316 340 395 496 527 544 620 632 680 790 961 992 1054 1240 1264 1343 1360 1580 1922 2108 2449 2480 2528 2635 2686 2720 3160 3844 4216 4805 4898 4960 5270 5372 6320 6715 7688 8432 9610 9796 10540 10744 12245 12640 13430 15376 16337 16864 19220 19592 21080 21488 24490 26860 30752 32674 38440 39184 41633 42160 42976 48980 53720 65348 75919 76880 78368 81685 83266 84320 97960 107440 130696 151838 153760 163370 166532 195920 208165 214880 261392 303676 326740 333064 379595 391840 416330 522784 607352 653480 666128 759190 832660 1214704 1290623 1306960 1332256 1518380 1665320 2429408 2581246 2613920 3036760 3330640 5162492 6073520 6453115 6661280 10324984 12147040 12906230 20649968 25812460 41299936 51624920 103249840 206499680