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20024010 = 234559419
BaseRepresentation
bin100110001100…
…0101011001010
31101200022210000
41030120223022
520111232020
61553103430
7332126016
oct114305312
941608700
1020024010
1110337376
126857b76
1341c1336
142933546
151b58090
hex1318aca

20024010 has 80 divisors (see below), whose sum is σ = 54885600. Its totient is φ = 5236704.

The previous prime is 20024009. The next prime is 20024077. The reversal of 20024010 is 1042002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20023983 and 20024001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47581 + ... + 47999.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 220024010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20024010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27442800).

20024010 is an abundant number, since it is smaller than the sum of its proper divisors (34861590).

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

20024010 is a wasteful number, since it uses less digits than its factorization.

20024010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20024010 is about 4474.8195494344. The cubic root of 20024010 is about 271.5503401665.

Adding to 20024010 its reverse (1042002), we get a palindrome (21066012).

The spelling of 20024010 in words is "twenty million, twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 419 531 590 810 838 885 1062 1257 1593 1770 2095 2514 2655 3186 3771 4190 4779 5310 6285 7542 7965 9558 11313 12570 15930 18855 22626 23895 24721 33939 37710 47790 49442 56565 67878 74163 113130 123605 148326 169695 222489 247210 339390 370815 444978 667467 741630 1112445 1334934 2002401 2224890 3337335 4004802 6674670 10012005 20024010