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20830194 = 232721119113
BaseRepresentation
bin100111101110…
…1011111110010
31110012021122200
41033131133302
520313031234
62022244030
7342024300
oct117353762
943167580
1020830194
1110838040
126b86616
134414278
142aa3270
151c66d99
hex13dd7f2

20830194 has 144 divisors (see below), whose sum is σ = 60821280. Its totient is φ = 5080320.

The previous prime is 20830169. The next prime is 20830211. The reversal of 20830194 is 49103802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184282 + ... + 184394.

It is an arithmetic number, because the mean of its divisors is an integer number (422370).

Almost surely, 220830194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20830194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410640).

20830194 is an abundant number, since it is smaller than the sum of its proper divisors (39991086).

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

20830194 is a wasteful number, since it uses less digits than its factorization.

20830194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

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

The square root of 20830194 is about 4564.0107361837. The cubic root of 20830194 is about 275.1467822466.

Adding to 20830194 its reverse (49103802), we get a palindrome (69933996).

The spelling of 20830194 in words is "twenty million, eight hundred thirty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 63 66 77 98 99 113 114 126 133 147 154 171 198 209 226 231 266 294 339 342 399 418 441 462 539 627 678 693 791 798 882 931 1017 1078 1197 1243 1254 1386 1463 1582 1617 1862 1881 2034 2147 2373 2394 2486 2793 2926 3234 3729 3762 4294 4389 4746 4851 5537 5586 6441 7119 7458 8379 8701 8778 9702 10241 11074 11187 12882 13167 14238 15029 16611 16758 17402 19323 20482 22374 23617 26103 26334 30058 30723 33222 38646 45087 47234 49833 52206 60907 61446 70851 78309 90174 92169 99666 105203 121814 135261 141702 156618 165319 182721 184338 210406 212553 270522 315609 330638 365442 425106 495957 548163 631218 946827 991914 1096326 1157233 1487871 1893654 2314466 2975742 3471699 6943398 10415097 20830194