20401920
20,401,920 is an even composite number composed of six prime numbers multiplied together.
20401920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 20401920:
28 × 32 × 5 × 7 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 23)See below for interesting mathematical facts about the number 20401920 from the Numbermatics database.
Names of 20401920
- Cardinal: 20401920 can be written as Twenty million, four hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.040192 × 107
Factors of 20401920
Divisors of 20401920
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 28 30 32 33 35 36 40 42 44 45 46 48 55 56 60 63 64 66 69 70 72 77 80 84 88 90 92 96 99 105 110 112 115 120 126 128 132 138 140 144 154 160 161 165 168 176 180 184 192 198 207 210 220 224 230 231 240 252 253 256 264 276 280 288 308 315 320 322 330 336 345 352 360 368 384 385 396 414 420 440 448 460 462 480 483 495 504 506 528 552 560 576 616 630 640 644 660 672 690 693 704 720 736 759 768 770 792 805 828 840 880 896 920 924 960 966 990 1008 1012 1035 1056 1104 1120 1152 1155 1232 1260 1265 1280 1288 1320 1344 1380 1386 1408 1440 1449 1472 1518 1540 1584 1610 1656 1680 1760 1771 1792 1840 1848 1920 1932 1980 2016 2024 2070 2112 2208 2240 2277 2304 2310 2415 2464 2520 2530 2576 2640 2688 2760 2772 2816 2880 2898 2944 3036 3080 3168 3220 3312 3360 3465 3520 3542 3680 3696 3795 3840 3864 3960 4032 4048 4140 4224 4416 4480 4554 4620 4830 4928 5040 5060 5152 5280 5313 5376 5520 5544 5760 5796 5888 6072 6160 6336 6440 6624 6720 6930 7040 7084 7245 7360 7392 7590 7728 7920 8064 8096 8280 8448 8832 8855 8960 9108 9240 9660 9856 10080 10120 10304 10560 10626 11040 11088 11385 11520 11592 12144 12320 12672 12880 13248 13440 13860 14080 14168 14490 14720 14784 15180 15456 15840 15939 16128 16192 16560 17664 17710 18216 18480 19320 19712 20160 20240 20608 21120 21252 22080 22176 22770 23184 24288 24640 25344 25760 26496 26565 26880 27720 28336 28980 29440 29568 30360 30912 31680 31878 32384 33120 35420 36432 36960 38640 40320 40480 41216 42240 42504 44160 44352 45540 46368 48576 49280 51520 52992 53130 55440 56672 57960 59136 60720 61824 63360 63756 64768 66240 70840 72864 73920 77280 79695 80640 80960 85008 88320 88704 91080 92736 97152 98560 103040 106260 110880 113344 115920 121440 123648 126720 127512 132480 141680 145728 147840 154560 159390 161920 170016 177408 182160 185472 194304 206080 212520 221760 226688 231840 242880 255024 264960 283360 291456 295680 309120 318780 323840 340032 364320 370944 425040 443520 453376 463680 485760 510048 566720 582912 618240 637560 680064 728640 850080 887040 927360 971520 1020096 1133440 1275120 1360128 1457280 1700160 1854720 2040192 2266880 2550240 2914560 3400320 4080384 5100480 6800640 10200960 20401920
- Sum of all divisors σ(n): 91832832
- Sum of proper divisors (its aliquot sum) s(n): 71430912
- 20401920 is an abundant number, because the sum of its proper divisors (71430912) is greater than itself. Its abundance is 51028992
Bases of 20401920
- Binary: 10011011101001111000000002
- Hexadecimal: 0x1374F00
- Base-36: C5A80
Squares and roots of 20401920
- 20401920 squared (204019202) is 416238339686400
- 20401920 cubed (204019203) is 8492061307214757888000
-
The
square root of 20401920 is 4516.8484588261 -
The
cube root of 20401920 is 273.2480135583
Scales and comparisons
How big is 20401920?- 20,401,920 seconds is equal to 33 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 20,401,920 would take you about fifty weeks!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 20401920 cubic inches would be around 22.8 feet tall.
Recreational maths with 20401920
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