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20873790 = 23257171949
BaseRepresentation
bin100111110100…
…0001000111110
31110021111110100
41033220020332
520320430130
62023221530
7342265350
oct117501076
943244410
1020873790
1110867873
126ba78a6
13442b072
142ab50d0
151c74c60
hex13e823e

20873790 has 96 divisors (see below), whose sum is σ = 65707200. Its totient is φ = 4488192.

The previous prime is 20873789. The next prime is 20873803. The reversal of 20873790 is 9737802.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9736 + ... + 11684.

It is an arithmetic number, because the mean of its divisors is an integer number (684450).

Almost surely, 220873790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20873790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32853600).

20873790 is an abundant number, since it is smaller than the sum of its proper divisors (44833410).

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

20873790 is a wasteful number, since it uses less digits than its factorization.

20873790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 20873790 is about 4568.7843021968. The cubic root of 20873790 is about 275.3386021983.

The spelling of 20873790 in words is "twenty million, eight hundred seventy-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 1949 2142 3570 3898 5355 5847 9745 10710 11694 13643 17541 19490 27286 29235 33133 35082 40929 58470 66266 68215 81858 87705 99399 122787 136430 165665 175410 198798 204645 231931 245574 298197 331330 409290 463862 496995 596394 613935 695793 993990 1159655 1227870 1391586 1490985 2087379 2319310 2981970 3478965 4174758 6957930 10436895 20873790