820528128
820,528,128 is an even composite number composed of five prime numbers multiplied together.
820528128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 820528128:
210 × 32 × 72 × 23 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 23 × 79)See below for interesting mathematical facts about the number 820528128 from the Numbermatics database.
Names of 820528128
- Cardinal: 820528128 can be written as Eight hundred twenty million, five hundred twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 8.20528128 × 108
Factors of 820528128
Divisors of 820528128
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 64 69 72 79 84 92 96 98 112 126 128 138 144 147 158 161 168 184 192 196 207 224 237 252 256 276 288 294 316 322 336 368 384 392 414 441 448 474 483 504 512 552 553 576 588 632 644 672 711 736 768 784 828 882 896 948 966 1008 1024 1104 1106 1127 1152 1176 1264 1288 1344 1422 1449 1472 1536 1568 1656 1659 1764 1792 1817 1896 1932 2016 2208 2212 2254 2304 2352 2528 2576 2688 2844 2898 2944 3072 3136 3312 3318 3381 3528 3584 3634 3792 3864 3871 4032 4416 4424 4508 4608 4704 4977 5056 5152 5376 5451 5688 5796 5888 6272 6624 6636 6762 7056 7168 7268 7584 7728 7742 8064 8832 8848 9016 9216 9408 9954 10112 10143 10304 10752 10902 11376 11592 11613 11776 12544 12719 13248 13272 13524 14112 14536 15168 15456 15484 16128 16353 17664 17696 18032 18816 19908 20224 20286 20608 21504 21804 22752 23184 23226 23552 25088 25438 26496 26544 27048 28224 29072 30336 30912 30968 32256 32706 34839 35328 35392 36064 37632 38157 39816 40448 40572 41216 43608 45504 46368 46452 50176 50876 52992 53088 54096 56448 58144 60672 61824 61936 64512 65412 69678 70656 70784 72128 75264 76314 79632 80896 81144 82432 87216 89033 91008 92736 92904 101752 105984 106176 108192 112896 114471 116288 121344 123648 123872 130824 139356 141568 144256 150528 152628 159264 162288 164864 174432 178066 182016 185472 185808 203504 211968 212352 216384 225792 228942 232576 242688 247296 247744 261648 267099 278712 283136 288512 305256 318528 324576 348864 356132 364032 370944 371616 407008 424704 432768 451584 457884 465152 494592 495488 523296 534198 557424 566272 577024 610512 637056 649152 697728 712264 728064 741888 743232 801297 814016 849408 865536 915768 930304 990976 1046592 1068396 1114848 1154048 1221024 1274112 1298304 1395456 1424528 1483776 1486464 1602594 1628032 1698816 1731072 1831536 1860608 1981952 2093184 2136792 2229696 2442048 2548224 2596608 2790912 2849056 2972928 3205188 3256064 3462144 3663072 3963904 4186368 4273584 4459392 4884096 5096448 5193216 5581824 5698112 5945856 6410376 6512128 7326144 8372736 8547168 8918784 9768192 10386432 11396224 11891712 12820752 13024256 14652288 16745472 17094336 17837568 19536384 22792448 25641504 29304576 34188672 35675136 39072768 45584896 51283008 58609152 68377344 91169792 102566016 117218304 136754688 205132032 273509376 410264064 820528128
- Sum of all divisors σ(n): 2912307840
- Sum of proper divisors (its aliquot sum) s(n): 2091779712
- 820528128 is an abundant number, because the sum of its proper divisors (2091779712) is greater than itself. Its abundance is 1271251584
Bases of 820528128
- Binary: 1100001110100001000100000000002
- Hexadecimal: 0x30E84400
- Base-36: DKIRK0
Squares and roots of 820528128
- 820528128 squared (8205281282) is 673266408839184384
- 820528128 cubed (8205281283) is 552434026090098615650353152
-
The
square root of 820528128 is 28644.8621571129 -
The
cube root of 820528128 is 936.1910633411
Scales and comparisons
How big is 820528128?- 820,528,128 seconds is equal to 26 years, 4 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 820,528,128 would take you about thirty-nine 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 820528128 cubic inches would be around 78 feet tall.
Recreational maths with 820528128
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