What is the smallest number with exactly 14 divisors?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
Helen made the conjecture that "every multiple of six has more
factors than the two numbers either side of it". Is this conjecture
This challenge is to make up YOUR OWN alphanumeric. Each letter
represents a digit and where the same letter appears more than once
it must represent the same digit each time. The hard part is to
make up some message rather than just using any old letters. Send
in your alphanumeric together with at least one solution to it.
Another challenge is to discover if the puzzle has just one
solution or many. Here are two easy examples; they are just
addition sums and you may be more inventive and make up
subtractions, multiplications or divisions:
Lastly, can you prove that
cannot be made into an alphnumeric?