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20024082 = 23213831031
BaseRepresentation
bin100110001100…
…0101100010010
31101200022212200
41030120230102
520111232312
61553104030
7332126151
oct114305422
941608780
1020024082
1110337431
126858016
1341c1390
142933598
151b580dc
hex1318b12

20024082 has 48 divisors (see below), whose sum is σ = 47331648. Its totient is φ = 6081120.

The previous prime is 20024077. The next prime is 20024083. The reversal of 20024082 is 28042002.

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

It is not an unprimeable number, because it can be changed into a prime (20024083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18907 + ... + 19937.

It is an arithmetic number, because the mean of its divisors is an integer number (986076).

Almost surely, 220024082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20024082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665824).

20024082 is an abundant number, since it is smaller than the sum of its proper divisors (27307566).

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

20024082 is a wasteful number, since it uses less digits than its factorization.

20024082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20024082 is about 4474.8275944443. The cubic root of 20024082 is about 271.5506656358.

Adding to 20024082 its reverse (28042002), we get a palindrome (48066084).

It can be divided in two parts, 2002 and 4082, that added together give a square (6084 = 782).

The spelling of 20024082 in words is "twenty million, twenty-four thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1031 1079 1494 2062 2158 3093 3237 6186 6474 9279 9711 13403 18558 19422 26806 40209 80418 85573 120627 171146 241254 256719 513438 770157 1112449 1540314 2224898 3337347 6674694 10012041 20024082