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20020338 = 2331319279
BaseRepresentation
bin100110001011…
…1110001110010
31101200010202000
41030113301302
520111122323
61553034430
7332112222
oct114276162
941603660
1020020338
1110334638
126855a16
1341bc770
142932082
151b56e43
hex1317c72

20020338 has 96 divisors (see below), whose sum is σ = 51206400. Its totient is φ = 5762016.

The previous prime is 20020333. The next prime is 20020387. The reversal of 20020338 is 83302002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20020338.

It is not an unprimeable number, because it can be changed into a prime (20020331) 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 47 ways as a sum of consecutive naturals, for example, 253383 + ... + 253461.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 220020338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

20020338 is an abundant number, since it is smaller than the sum of its proper divisors (31186062).

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

20020338 is a wasteful number, since it uses less digits than its factorization.

20020338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20020338 is about 4474.4092347482. The cubic root of 20020338 is about 271.5337401980.

The spelling of 20020338 in words is "twenty million, twenty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 79 114 117 158 171 234 237 247 342 351 361 474 494 513 702 711 722 741 1026 1027 1083 1422 1482 1501 2054 2133 2166 2223 3002 3081 3249 4266 4446 4503 4693 6162 6498 6669 9006 9243 9386 9747 13338 13509 14079 18486 19494 19513 27018 27729 28158 28519 39026 40527 42237 55458 57038 58539 81054 84474 85557 117078 126711 171114 175617 253422 256671 351234 370747 513342 526851 741494 770013 1053702 1112241 1540026 2224482 3336723 6673446 10010169 20020338