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840640220 = 2257411371069
BaseRepresentation
bin110010000110110…
…010011011011100
32011120210221120222
4302012302123130
53210200441340
6215225500512
726555216060
oct6206623334
92146727528
10840640220
113a1579492
121b5641738
13105211c64
147d907aa0
154dc038b5
hex321b26dc

840640220 has 96 divisors (see below), whose sum is σ = 2083777920. Its totient is φ = 278876160.

The previous prime is 840640219. The next prime is 840640249. The reversal of 840640220 is 22046048.

840640220 = T71 + T72 + ... + T1714.

840640220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 840640220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785846 + ... + 786914.

It is an arithmetic number, because the mean of its divisors is an integer number (21706020).

Almost surely, 2840640220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041888960).

840640220 is an abundant number, since it is smaller than the sum of its proper divisors (1243137700).

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

840640220 is a wasteful number, since it uses less digits than its factorization.

840640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 840640220 is about 28993.7962329875. The cubic root of 840640220 is about 943.7784464621.

Adding to 840640220 its reverse (22046048), we get a palindrome (862686268).

The spelling of 840640220 in words is "eight hundred forty million, six hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 137 140 164 205 274 287 410 548 574 685 820 959 1069 1148 1370 1435 1918 2138 2740 2870 3836 4276 4795 5345 5617 5740 7483 9590 10690 11234 14966 19180 21380 22468 28085 29932 37415 39319 43829 56170 74830 78638 87658 112340 146453 149660 157276 175316 196595 219145 292906 306803 393190 438290 585812 613606 732265 786380 876580 1025171 1227212 1464530 1534015 2050342 2929060 3068030 4100684 5125855 6004573 6136060 10251710 12009146 20503420 24018292 30022865 42032011 60045730 84064022 120091460 168128044 210160055 420320110 840640220