54080400
54,080,400 is an even composite number composed of six prime numbers multiplied together.
54080400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 54080400:
24 × 3 × 52 × 11 × 17 × 241
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 241)See below for interesting mathematical facts about the number 54080400 from the Numbermatics database.
Names of 54080400
- Cardinal: 54080400 can be written as Fifty-four million, eighty thousand, four hundred.
Scientific notation
- Scientific notation: 5.40804 × 107
Factors of 54080400
Divisors of 54080400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 44 48 50 51 55 60 66 68 75 80 85 88 100 102 110 120 132 136 150 165 170 176 187 200 204 220 240 241 255 264 272 275 300 330 340 374 400 408 425 440 482 510 528 550 561 600 660 680 723 748 816 825 850 880 935 964 1020 1100 1122 1200 1205 1275 1320 1360 1446 1496 1650 1700 1870 1928 2040 2200 2244 2410 2550 2640 2651 2805 2892 2992 3300 3400 3615 3740 3856 4080 4097 4400 4488 4675 4820 5100 5302 5610 5784 6025 6600 6800 7230 7480 7953 8194 8976 9350 9640 10200 10604 11220 11568 12050 12291 13200 13255 14025 14460 14960 15906 16388 18075 18700 19280 20400 20485 21208 22440 24100 24582 26510 28050 28920 31812 32776 36150 37400 39765 40970 42416 44880 45067 48200 49164 53020 56100 57840 61455 63624 65552 66275 72300 74800 79530 81940 90134 96400 98328 102425 106040 112200 122910 127248 132550 135201 144600 159060 163880 180268 196656 198825 204850 212080 224400 225335 245820 265100 270402 289200 307275 318120 327760 360536 397650 409700 450670 491640 530200 540804 614550 636240 676005 721072 795300 819400 901340 983280 1060400 1081608 1126675 1229100 1352010 1590600 1638800 1802680 2163216 2253350 2458200 2704020 3181200 3380025 3605360 4506700 4916400 5408040 6760050 9013400 10816080 13520100 18026800 27040200 54080400
- Sum of all divisors σ(n): 200933568
- Sum of proper divisors (its aliquot sum) s(n): 146853168
- 54080400 is an abundant number, because the sum of its proper divisors (146853168) is greater than itself. Its abundance is 92772768
Bases of 54080400
- Binary: 110011100100110011100100002
- Hexadecimal: 0x3393390
- Base-36: W74PC
Squares and roots of 54080400
- 54080400 squared (540804002) is 2924689664160000
- 54080400 cubed (540804003) is 158168386913638464000000
-
The
square root of 54080400 is 7353.9377207045 -
The
cube root of 54080400 is 378.1638101913
Scales and comparisons
How big is 54080400?- 54,080,400 seconds is equal to 1 year, 37 weeks, 2 days, 22 hours, 20 minutes.
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To count from 1 to 54,080,400 would take you about two years!
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 54080400 cubic inches would be around 31.5 feet tall.
Recreational maths with 54080400
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