Search a number
-
+
2041125200 = 24527277019
BaseRepresentation
bin111100110101001…
…0001100101010000
312021020201220101122
41321222101211100
513140012001300
6534312221412
7101403164222
oct17152214520
95236656348
102041125200
11958186634
1248b69a868
13266b460ba
14155122412
15be2d7c85
hex79a91950

2041125200 has 60 divisors (see below), whose sum is σ = 4911248160. Its totient is φ = 815210880.

The previous prime is 2041125197. The next prime is 2041125221. The reversal of 2041125200 is 25211402.

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, 287291 + ... + 294309.

It is an arithmetic number, because the mean of its divisors is an integer number (81854136).

Almost surely, 22041125200 is an apocalyptic number.

2041125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455624080).

2041125200 is an abundant number, since it is smaller than the sum of its proper divisors (2870122960).

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

2041125200 is a wasteful number, since it uses less digits than its factorization.

2041125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2041125200 is about 45178.8136187749. The cubic root of 2041125200 is about 1268.4982766399.

Adding to 2041125200 its reverse (25211402), we get a palindrome (2066336602).

The spelling of 2041125200 in words is "two billion, forty-one million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 727 1454 2908 3635 5816 7019 7270 11632 14038 14540 18175 28076 29080 35095 36350 56152 58160 70190 72700 112304 140380 145400 175475 280760 290800 350950 561520 701900 1403800 2807600 5102813 10205626 20411252 25514065 40822504 51028130 81645008 102056260 127570325 204112520 255140650 408225040 510281300 1020562600 2041125200