# Opinion: Brainteasers in honor of Mike Bloombergs 75th birthday and Valentine's Day

By David Shankbone - Own work, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=15000808

Michael Rubens “Mike” Bloomberg, born on Feb. 14, 1942 in Boston, Mass., is an American businessman, author, politician, and philanthropist [1]. This Tuesday, Valentine’s Day, Feb. 14, 2017 marks Bloomberg’s 75th birthday and for this reason, I prepared the following birthday brainteasers for him:

1. The sum of the squares of the digits of Bloomberg’s 75th birthday expressed as 2/14/2017 yields 75.

2. If Bloomberg’s 75th birthday 2/14/2017 is split into numbers 2, 14, 20, and 17, the difference of 2 and 14 is 12 and interestingly enough, the 12th prime number is 37 which equals the sum of 20 and 17. Further, the sum of the digits of 75, namely 7 and 5, gives 12 too. Also, the sum of the squares of the digits of 75 equals twice 37.

3. If 2/14/2017 is split as 2, 14, 20, and 17, the sum of these numbers equals 53 which the reverse of the product of the digits of 75, Bloomberg’s new age. Moreover, 53 is the 16th prime number where 16 equals the sum of 2 and 14 (the month and day numbers of Bloomberg’s birthday) as well as the sum of the digits of 1942, Bloomberg’s birth year. Additionally, if 1942 is split as 19 and 42, the sum of these two numbers equal the reverse of 16, namely 61.

4. If Bloomberg’s 75th birthday written as 2142017 is split as 214, 20, and 17, intertwining numbers 20 and 17 yield 2107 and if 2107 is split into 2 and 107, the product of these two numbers equals 214! Isn’t this fun?

5. Moreover, if Bloomberg’s 75th birthday expressed in the day/month/year date format as 14/2/2017 (14 Feb. 2017) is split into 142, 20, and 17, the product of the reverses of 20 and 17, namely 02 and 71, yield 142!

6. If numbers 1 to 26 are assigned to the letters of the English alphabet as A being 1, B being 2, C being 3, etc., the sum of the numbers assigned to the letters of Mike and Bloomberg each equals 38 and 89 respectively. Interestingly enough, the sum of the digits of Bloomberg’s birthday expressed as 2/14/1942 equals 23 and the 23rd prime number is 83 with its reverse being 38 (Mike). Furthermore, the product of the digits of 2/14/1942 equals 576 which is the square of 24 where the 24th prime number is 89 (Bloomberg).

7. Bloomberg’s birth year 1942 equals 2 times 971 where the sum of these two prime numbers results in 973 and the reverse of 973, namely 379, is the 75th prime number where 75 is Bloomberg’s new age.

8. If the odd- and even-numbered digits of Bloomberg’s birthday expressed as 2141942 is separated as 2492 and 114, 2492 equals 2 x 14 x 89 where 2 and 14 together as 2/14 represent Bloomberg’s birth date Feb. 14 and 89 represents Bloomberg. Additionally, 114 equals twice 57 which is the reverse of 75, again, Bloomberg’s new age.

9. The sum of the numbers assigned to the letters of Michael Rubens Bloomberg equals 219 where reverse of 219, namely 912, equals 16 (see item # 3) times 57, where again, 57 is the reverse of 75.

10. Lastly, the product of the month and day numbers of Bloomberg’s birth date yield 2 x 14 = 28 where the 28th prime number is 107 and twice 107 yields back 214. Also, the reverse of 214, namely 412, equals 2 x 2 x 103 where twice the sum of these three prime multipliers again give back 214.

Happy 75th birthday and Valentine’s Day, Mike Bloomberg!

[1] Michael Bloomberg, Wikipedia https://en.wikipedia.org/wiki/Michael_Bloomberg

*Aziz Inan is a professor of electrical engineering teaching in the Donald P. Shiley School of Engineering at University of Portland. He can be reached at ainan@up.edu.*