Search a number
-
+
20441016 = 23321931471
BaseRepresentation
bin100110111111…
…0011110111000
31102110111210200
41031332132320
520213103031
62010042200
7335513541
oct115763670
942414720
1020441016
11105a1702
126a19360
13430909b
142a014c8
151bdb8e6
hex137e7b8

20441016 has 48 divisors (see below), whose sum is σ = 55685760. Its totient is φ = 6773760.

The previous prime is 20440999. The next prime is 20441023. The reversal of 20441016 is 61014402.

It is a super-2 number, since 2×204410162 = 835670270224512, which contains 22 as substring.

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 20441016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13161 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (1160120).

Almost surely, 220441016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20441016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842880).

20441016 is an abundant number, since it is smaller than the sum of its proper divisors (35244744).

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

20441016 is a wasteful number, since it uses less digits than its factorization.

20441016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20441016 is about 4521.1741837713. The cubic root of 20441016 is about 273.4224430196.

Adding to 20441016 its reverse (61014402), we get a palindrome (81455418).

The spelling of 20441016 in words is "twenty million, four hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1471 1544 1737 2316 2942 3474 4413 4632 5884 6948 8826 11768 13239 13896 17652 26478 35304 52956 105912 283903 567806 851709 1135612 1703418 2271224 2555127 3406836 5110254 6813672 10220508 20441016