Search a number
-
+
41022020 = 22513179281
BaseRepresentation
bin1001110001111…
…1001001000100
32212012010122002
42130133021010
541000201040
64023124432
71005452504
oct234371104
985163562
1041022020
11211794a6
12118a3718
138663ab0
14563ba04
153904a15
hex271f244

41022020 has 48 divisors (see below), whose sum is σ = 98240688. Its totient is φ = 14254080.

The previous prime is 41022013. The next prime is 41022029. The reversal of 41022020 is 2022014.

It can be written as a sum of positive squares in 8 ways, for example, as 470596 + 40551424 = 686^2 + 6368^2 .

It is a super-2 number, since 2×410220202 = 3365612249760800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41021992 and 41022010.

It is not an unprimeable number, because it can be changed into a prime (41022029) 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, 221 + ... + 9060.

It is an arithmetic number, because the mean of its divisors is an integer number (2046681).

Almost surely, 241022020 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 41022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49120344).

41022020 is an abundant number, since it is smaller than the sum of its proper divisors (57218668).

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

41022020 is a wasteful number, since it uses less digits than its factorization.

41022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 41022020 is about 6404.8434797425. The cubic root of 41022020 is about 344.8834444890.

Adding to 41022020 its reverse (2022014), we get a palindrome (43044034).

The spelling of 41022020 in words is "forty-one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 9281 18562 37124 46405 92810 120653 157777 185620 241306 315554 482612 603265 631108 788885 1206530 1577770 2051101 2413060 3155540 4102202 8204404 10255505 20511010 41022020