vidyarth said:I think the answer must be a 225 digit long number ending in 8 ...
greg1313 said:Hi vidyarth and welcome to MHB! :D
Why?
vidyarth said:The answer found ... is $5989\overbrace{\ldots}^{\text {217 9s}}989888$
greg1313 said:That should be $598\overbrace{9\ldots9}^{\text{217 9s}}89888$
The property of multiple of 2016 refers to a specific characteristic or quality shared by any number that is a multiple of 2016. This means that any number that is divisible by 2016 will have this property.
The number 2016 is significant in this property because it is the smallest number that is divisible by all numbers from 1 to 12. This makes it a highly composite number and gives it unique properties.
To determine if a number is a multiple of 2016, you can use the divisibility rules for 2016. These rules state that a number is a multiple of 2016 if it is divisible by 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 756, 864, 1008, 1152, 1344, 1512, 1728, or 2016.
This property can be useful in many real-world applications, particularly in mathematics and engineering. For example, it can be used in calculating least common multiples and in finding efficient ways to distribute resources evenly among a large number of people or objects.
Yes, there are other numbers with similar properties to 2016. These include highly composite numbers such as 2520, 27720, and 720720. These numbers are also divisible by a large number of smaller numbers and have unique mathematical properties.