### BAB Number 1600

This is BAB number 1600 and it was created on the 1207th day of BABbling. This BAB has BABid 3.267, which implies it was 267th BAB created during the 3rd year of BABbling.

The following information about the number 1600 was obtained from MathBabbler's Number Analyst software.

```   1600 proper divisors are: 1,2,4,5,8,10,16,20,25,32,40,50,64,
80,100,160,200,320,400,800
1600 is abundant (sum of divisors is 2337)
1600 is unhappy
1600 is not a Harshad number
1600 is not prime
1600 has the prime factors: 2*2*2*2*2*2*5*5
1600 in octal is 03100
1600 in hexadecimal is 0x640
1600 in binary is 11001000000 (is odious)
1600 nearest square numbers: 1600 is square (1600 is square)
sqrt(1600) = 40
ln(1600) = 7.37776
log(1600) = 3.20412
1600 is 40^2
```

`1600` is the street number on Pennsylvania Avenue of the White House.

`1600` is a perfect score the SAT.

##### Exercises
1. No or Yes: `1600` equals `40-squared`.

2. A number is odious if its binary representation has an (even | odd) number of ones.

3. No or Yes: `1600` written as a Roman numeral is MDC.

4. As of this BAB's create date (5/30/2008), MathBabbler had been BABbling at a rate of `________ BABs per day`.

5. A Harshad number is a number that is evenly divisible by the sum of its digits. Show that `1500` is a Harshad number.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 30 May 2008 