About the Number 180 (one hundred eighty)

MathBabbler created this BAB as a result of deciding to drive US Hwy-180 on Pi Day 2008.

   180 is an even, positive, integer
   180 is not prime
   180 has the prime factors:  2, 2, 3, 3, 5
   180 is Roman numeral CLXXX
   180 is a Harshad number (sum of its digits is a factor of 180)
   180° is a straight angle
   180° is Pi radians
   180° is the sum of the angles in a triangle

The Wikipedia says 180 is the sum of six consecutive primes and eight consecutive primes.

   180 = 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37
   180 = 19 + 23 + 29 + 31 + 37 + 41

The Number Gossip says, 180 is an evil number. MathBabbler did not know what defined an evil number, but he learned that a positive integer is evil if it contains an even number of 1's when expressed in base-2. {More... from Wolfram MathWorld}

   180 = 10110100base-2

When basketball player Jason Kidd was traded from one team to another, he was quoted saying he was going to help turn his new team around 360 degrees. MathBabbler suspects Jason meant to say 180 degrees.

Update::2009.12.15

BAB# 180 for the fall 2009 semester was posted on 15 December 2009. The MathBabbler Number Analyst (MBNA) was modified since this nBAB was created; therefore, the following is more current MBNA output for the number 180.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   180 is a natural, whole, integer
   180 is even
   180 proper divisors are: 1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,
   180 is refactorable (evenly divisable by # of divisors)
   180 is abundant (sum of divisors is 366)
   180 is unhappy
   180 is a Harshad number
   180 is not prime
   180 has the prime factors: 2*2*3*3*5 (sum=15)
   180 sum of prime factors is: 15
   180 is the sum of 8 consecutive primes
       180 = 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37
   180 in octal is 0264
   180 in hexadecimal is 0xb4
   180 in binary is 10110100 (is evil)
   180 nearest square numbers: -11...16 (169...196 [14])
   sqrt(180) = 13.4164
   ln(180) = 5.19296
   log(180) = 2.25527
   180 reciprocal is .00555555555555555555555555555555
   180! is 2.00896e+329
   180 is 57.2958 Pi years
   180 is 9 scoreyears
   180 written as a Roman numeral is CLXXX

180 is a triple-X Roman numeral.

180 degrees equals Pi radians.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 27 February 2008

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