About the Number 670 (six hundred seventy)

MathBabbler received from a former student a picture of road signs from Ohio. The road signs contained the number 670, which is a large number for doing road sign math with. When MathBabbler has road signs with numbers such as 670, he uses his MBNA to find the number's proper divisors and the nearest square numbers.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   670 is a natural, whole, integer
   670 is even
   670 proper divisors are: 1,2,5,10,67,134,335,
   670 is deficient (sum of divisors is 554)
   670 is unhappy
   670 is not a Harshad number
   670 is not prime
   670 has the prime factors: 2*5*67
   670 is sphenic (had 3 unique prime factors)
   670 sum prime factors: 2...5...67...answer: 74
   670 in octal is 01236
   670 in hexadecimal is 0x29e
   670 in binary is 1010011110 (is evil)
   670 nearest square numbers: -45...6 (625...676 [26])
   sqrt(670) = 25.8844
   ln(670) = 6.50728
   log(670) = 2.82607
   670 reciprocal is .00149253731343283582089552238805
   670! is 2.01835e+1604
   670 is 213.268 Pi years
   670 is 33 score and 10 years
   670 written as a Roman numeral is DCLXX

The road signs received from the student contains the numbers 71 and 4. 67 is a proper divisor of 670; therefore, when doing road sign math, the difference between 71 and 4 can be divided into 670 resulting in the number 10 (which could be common log'd into 1). The road signs also contain the number 40 and 5; therefore, the sum of 40 and 5 can be subtracted from 670 resulting in the square 625, which can then be square-rooted down to 25 (which could be square-rooted down to 5).

BARS::Student Submitted Road Signs from Columbus, Ohio was created after the number 670 was processed by the MBNA.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 10 April 2009