### 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 )
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 