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20800395 = 3457112329
BaseRepresentation
bin100111101011…
…0001110001011
31110010202210000
41033112032023
520311103040
62021454043
7341541360
oct117261613
943122700
1020800395
1110817710
126b71323
134403835
142a96467
151c5d130
hex13d638b

20800395 has 160 divisors (see below), whose sum is σ = 50181120. Its totient is φ = 7983360.

The previous prime is 20800393. The next prime is 20800399. The reversal of 20800395 is 59300802.

It is not a de Polignac number, because 20800395 - 21 = 20800393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20800393) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 717241 + ... + 717269.

It is an arithmetic number, because the mean of its divisors is an integer number (313632).

Almost surely, 220800395 is an apocalyptic number.

20800395 is an abundant number, since it is smaller than the sum of its proper divisors (29380725).

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

20800395 is a wasteful number, since it uses less digits than its factorization.

20800395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20800395 is about 4560.7450049307. The cubic root of 20800395 is about 275.0155142763.

The spelling of 20800395 in words is "twenty million, eight hundred thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 23 27 29 33 35 45 55 63 69 77 81 87 99 105 115 135 145 161 165 189 203 207 231 253 261 297 315 319 345 385 405 435 483 495 567 609 621 667 693 759 783 805 891 945 957 1015 1035 1155 1265 1305 1449 1485 1595 1771 1827 1863 2001 2079 2233 2277 2349 2415 2835 2871 3045 3105 3335 3465 3795 3915 4347 4455 4669 4785 5313 5481 6003 6237 6699 6831 7245 7337 8613 8855 9135 9315 10005 10395 11165 11385 11745 13041 14007 14355 15939 16443 18009 20097 20493 21735 22011 23345 25839 26565 27405 30015 31185 33495 34155 36685 42021 43065 47817 51359 54027 60291 65205 66033 70035 79695 82215 90045 100485 102465 110055 126063 129195 143451 154077 180873 198099 210105 239085 256795 270135 301455 330165 378189 462231 594297 630315 717255 770385 904365 990495 1386693 1890945 2311155 2971485 4160079 6933465 20800395