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20843190 = 23351719239
BaseRepresentation
bin100111110000…
…0101010110110
31110012221111000
41033200222312
520313440230
62022424130
7342110214
oct117405266
943187430
1020843190
1110846885
126b92046
13441a164
142aa7cb4
151c6ab60
hex13e0ab6

20843190 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 4935168.

The previous prime is 20843161. The next prime is 20843197. The reversal of 20843190 is 9134802.

It is a super-2 number, since 2×208431902 = 868877138752200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20843197) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 87091 + ... + 87329.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 220843190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20843190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

20843190 is an abundant number, since it is smaller than the sum of its proper divisors (41364810).

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

20843190 is a wasteful number, since it uses less digits than its factorization.

20843190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20843190 is about 4565.4342619295. The cubic root of 20843190 is about 275.2039918944.

Adding to 20843190 its reverse (9134802), we get a palindrome (29977992).

The spelling of 20843190 in words is "twenty million, eight hundred forty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 239 255 270 285 306 323 342 459 478 510 513 570 646 717 765 855 918 969 1026 1195 1434 1530 1615 1710 1938 2151 2295 2390 2565 2907 3230 3585 4063 4302 4541 4590 4845 5130 5814 6453 7170 8126 8721 9082 9690 10755 12189 12906 13623 14535 17442 20315 21510 22705 24378 27246 29070 32265 36567 40630 40869 43605 45410 60945 64530 68115 73134 77197 81738 87210 109701 121890 122607 136230 154394 182835 204345 219402 231591 245214 365670 385985 408690 463182 548505 613035 694773 771970 1097010 1157955 1226070 1389546 2084319 2315910 3473865 4168638 6947730 10421595 20843190