Most divisors
Find the number with the most divisors from the natural numbers 1 to 100.
Correct answer:
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An amazing number is a name for such an even number, the decomposition product of prime numbers has exactly three, not necessarily different factors, and the sum of all its divisors is equal to twice that number. Find all the amazing numbers.
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The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Divisors of 560
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Calculate three-fifths of the ratio of the product and the sum of all prime divisors of 240.
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There are five huge aquariums on an island in Jurassic World. At least two and at most six ichthyosaurs swim in each of them, with a different number in each aquarium. How many ichthyosaurs are there in total in all the aquariums? - Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S and D:S are with the remainder of 1. - Numbers 4387
Write numbers from 0 to 100 with the same number of units and tens.
