About the Number 5,100 (five thousand one hundred)

BAB# 5100 was posted on 16 June 2016.

MathBabbler Number Analyst (MBNA) output:
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5100 is natural, counting, whole, integer
5100 is even (not odd)
5100 proper divisors are: 1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,
                          51,60,68,75,85,100,102,150,170,204,255,
                          300,340,425,510,850,1020,1275,1700,2550,
5100 has 35 proper divisors
5100 is abundant (sum of divisors is 10524; ratio: 2.06353)
5100 is unhappy
5100 is not a Squarefree Number: 4,25,100,
5100 is Harshad (Niven) number
5100 is composite (not prime)
5100 has the prime factors: 2*2*3*5*5*17 (sum=34)
5100 is a 17-smooth number
5100 is Arithmetic (A003601)
5100 is the sum of 46 consecutive primes
5100 = 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 
       47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 
       101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 
       149 + 151 + 157 + 163 + 167 + 173 + 179 + 181 + 191 + 
       193 + 197 + 199 + 211 + 223 + 227 + 229
5100 in octal is 011754
5100 in hexadecimal is 0x13ec
5100 in binary is 1001111101100 (is evil)
5100 nearest square numbers: -59...84 (5041...5184 [72])
sqrt(5100) = 71.4143
ln(5100) = 8.537
log(5100) = 3.70757
5100 reciprocal is .00019607843137254901960784313725
5100 is an apocalyptic power (2^5100 contains 666)
5100! is inf
5100 is 1623.38 Pi years
5100 is 255 scoreyears
5100 is 1276^2 - 1274^2 and 2 * (1276 + 1274)
5100 is a multiple of 1 & it contains a 1 (A011531)
5100 is a multiple of 5 & it contains a 5 (A121025)
5100 is a multiple of 10 & it contains a 10 (A121030)
5100 is a multiple of 51 & it contains a 51
5100 is a multiple of 100 & it contains a 100
5100 is a multiple of 510 & it contains a 510

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 16 June 2016

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