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206296020 = 223257179631
BaseRepresentation
bin11000100101111…
…01001111010100
3112101011220221100
430102331033110
5410302433040
632245350100
75053326060
oct1422751724
9471156840
10206296020
11a64a3287
1259108330
133397cc68
141d580aa0
151319eb30
hexc4bd3d4

206296020 has 144 divisors (see below), whose sum is σ = 757306368. Its totient is φ = 44375040.

The previous prime is 206296009. The next prime is 206296021. The reversal of 206296020 is 20692602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206296021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16605 + ... + 26235.

It is an arithmetic number, because the mean of its divisors is an integer number (5259072).

Almost surely, 2206296020 is an apocalyptic number.

206296020 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 206296020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378653184).

206296020 is an abundant number, since it is smaller than the sum of its proper divisors (551010348).

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

206296020 is a wasteful number, since it uses less digits than its factorization.

206296020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206296020 is about 14363.0087377262. The cubic root of 206296020 is about 590.8768156085.

The spelling of 206296020 in words is "two hundred six million, two hundred ninety-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 9631 10710 19262 21420 28893 38524 48155 57786 67417 86679 96310 115572 134834 144465 163727 173358 192620 202251 269668 288930 327454 337085 346716 404502 433395 491181 577860 606753 654908 674170 809004 818635 866790 982362 1011255 1146089 1213506 1348340 1473543 1637270 1733580 1964724 2022510 2292178 2427012 2455905 2947086 3033765 3274540 3438267 4045020 4584356 4911810 5730445 5894172 6067530 6876534 7367715 9823620 10314801 11460890 12135060 13753068 14735430 17191335 20629602 22921780 29470860 34382670 41259204 51574005 68765340 103148010 206296020