1024 has exactly eleven. 60 has twelve, so it has eleven as well.
12 has six divisors.
Because the sum of its proper divisors is greater than the number itself.
60
the dot on the i
The smallest positive integer with exactly 12 factors is 60.You may check to see that 60 has exactly twelve factors, by noting the following:60 = 1 X 60 = 2 X 30 = 3 x 20 = 4 X 15 = 5 x 12 = 6 x 10. The factors that are less than 8 are 1, 2, 3, 4, 5, and 6; the factors that are more than 8 are obtained by dividing the six factors already found into 60.Any number less than 60 must have six numbers less than 8 that divide into it, in order to have exactly twelve divisors. In fact, the requirement is more stringent than that: for a number (n, say) to have exactly twelve divisors, six of them must be less than the square-root of n. That you won't be able to find any is borne out by the fact that the least common multiple of any 6 of the first seven integers must be at least as great as the l. c. m. of the first six positive integers, namely 60.
twelve
There are infinitely many such numbers. For example, take any prime number to the 11th power and the result will have exactly twelve factors.
60
None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more wholenumbers.
An abundant number is any natural number (starting from 1) that is less than the sum of all its divisors excepting itself (the set of "all its divisors excepting itself" is also known as the set of its "proper divisors"). The lowest abundant number is twelve, and the first nine (all of those between one and fourty-nine, inclusive) are: 12 18 20 24 30 36 40 42 48
The smallest prime factor of 12 is 2.