Search a number
-
+
41189820 = 22357101971
BaseRepresentation
bin1001110100100…
…0000110111100
32212111122210220
42131020012330
541021033240
64030501340
71010051640
oct235100674
985448726
1041189820
1121283581
1211964850
1386c2299
145682c20
1539395d0
hex27481bc

41189820 has 96 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 9312000.

The previous prime is 41189809. The next prime is 41189821. The reversal of 41189820 is 2898114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41189821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41935 + ... + 42905.

It is an arithmetic number, because the mean of its divisors is an integer number (1388016).

Almost surely, 241189820 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 41189820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

41189820 is an abundant number, since it is smaller than the sum of its proper divisors (92059716).

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

41189820 is a wasteful number, since it uses less digits than its factorization.

41189820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 41189820 is about 6417.9295726893. The cubic root of 41189820 is about 345.3530517339.

The spelling of 41189820 in words is "forty-one million, one hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 971 1010 1212 1414 1515 1942 2020 2121 2828 2913 3030 3535 3884 4242 4855 5826 6060 6797 7070 8484 9710 10605 11652 13594 14140 14565 19420 20391 21210 27188 29130 33985 40782 42420 58260 67970 81564 98071 101955 135940 196142 203910 294213 392284 407820 490355 588426 686497 980710 1176852 1372994 1471065 1961420 2059491 2745988 2942130 3432485 4118982 5884260 6864970 8237964 10297455 13729940 20594910 41189820