Search a number
-
+
441410020 = 225231974871
BaseRepresentation
bin11010010011110…
…110000111100100
31010202120221201021
4122103312013210
51401000110040
6111444540524
713636631452
oct3223660744
91122527637
10441410020
11207189977
121039b1744
13705acb7c
14428a39d2
1528b4324a
hex1a4f61e4

441410020 has 48 divisors (see below), whose sum is σ = 972373248. Its totient is φ = 167995520.

The previous prime is 441410017. The next prime is 441410029. The reversal of 441410020 is 20014144.

It is a junction number, because it is equal to n+sod(n) for n = 441409976 and 441410003.

It is not an unprimeable number, because it can be changed into a prime (441410029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88185 + ... + 93055.

It is an arithmetic number, because the mean of its divisors is an integer number (20257776).

Almost surely, 2441410020 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 441410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486186624).

441410020 is an abundant number, since it is smaller than the sum of its proper divisors (530963228).

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

441410020 is a wasteful number, since it uses less digits than its factorization.

441410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 441410020 is about 21009.7601128618. The cubic root of 441410020 is about 761.4020862852.

Adding to 441410020 its reverse (20014144), we get a palindrome (461424164).

The spelling of 441410020 in words is "four hundred forty-one million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 197 230 394 460 788 985 1970 3940 4531 4871 9062 9742 18124 19484 22655 24355 45310 48710 90620 97420 112033 224066 448132 560165 959587 1120330 1919174 2240660 3838348 4797935 9595870 19191740 22070501 44141002 88282004 110352505 220705010 441410020