About the Number 21,420 (twenty-one thousand four hundred twenty)

GDT (MathBabber is a GDT character) was 21,420 days young when he did his first class of the spring 2016 semester. [21,420 days was 58 years, 7 months, 22 days (or 30,844,800 minutes)]

MathBabbler Number Analyst (MBNA) output:
=========================================
21420 is a natural, whole, integer
21420 is even
21420 proper divisors are: 1,2,3,4,5,6,7,9,10,12,14,15,17,18,20,21,28,
                           30,34,35,36,42,45,51,60,63,68,70,84,85,90,
                           102,105,119,126,140,153,170,180,204,210,238,
                           252,255,306,315,340,357,420,476,510,595,612,
                           630,714,765,1020,1071,1190,1260,1428,1530,
                           1785,2142,2380,3060,3570,4284,5355,7140,10710,
21420 has 71 proper divisors
21420 is abundant (sum of divisors is 57204; ratio: 2.67059)
21420 is unhappy
21420 is not a Squarefree Number: 4,9,36,
21420 is Harshad (Niven) number
21420 is composite (not prime)
21420 has the prime factors: 2*2*3*3*5*7*17 (sum=39)
21420 is a 17-smooth number
21420 is Arithmetic (A003601)
21420 is not in A038853
21420 in octal is 051654
21420 in hexadecimal is 0x53ac
21420 in binary is 101001110101100 (is evil)
21420 nearest square numbers: -104...189 (21316...21609 [147])
sqrt(21420) = 146.356
ln(21420) = 9.97208
log(21420) = 4.33082
21420 reciprocal is .00004668534080298786181139122315
21420 is an apocalyptic power
21420! is inf
21420 is 6818.2 Pi years
21420 is 1071 scoreyears
21420 is 5356^2 - 5354^2 and 2 * (5356 + 5354)
21420 is a multiple of 1 & it contains a 1 (A011531)
21420 is a multiple of 2 & it contains a 2 (A121022)
21420 is a multiple of 4 & it contains a 4 (A121024)
21420 is a multiple of 14 & it contains a 14 (A121034)
21420 is a multiple of 21 & it contains a 21
21420 is a multiple of 42 & it contains a 42
21420 is a multiple of 420 & it contains a 420
21420 is a multiple of 2142 & it contains a 2142

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 13 January 2016

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This work is licensed under a Creative Commons Attribution 3.0 United States License.