828393120
828,393,120 is an even composite number composed of six prime numbers multiplied together.
828393120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 828393120:
25 × 32 × 5 × 29 × 83 × 239
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 83 × 239)See below for interesting mathematical facts about the number 828393120 from the Numbermatics database.
Names of 828393120
- Cardinal: 828393120 can be written as Eight hundred twenty-eight million, three hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.2839312 × 108
Factors of 828393120
Divisors of 828393120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 83 87 90 96 116 120 144 145 160 166 174 180 232 239 240 249 261 288 290 332 348 360 415 435 464 478 480 498 522 580 664 696 717 720 747 830 870 928 956 996 1044 1160 1195 1245 1305 1328 1392 1434 1440 1494 1660 1740 1912 1992 2088 2151 2320 2390 2407 2490 2610 2656 2784 2868 2988 3320 3480 3585 3735 3824 3984 4176 4302 4640 4780 4814 4980 5220 5736 5976 6640 6931 6960 7170 7221 7470 7648 7968 8352 8604 9560 9628 9960 10440 10755 11472 11952 12035 13280 13862 13920 14340 14442 14940 17208 19120 19256 19837 19920 20793 20880 21510 21663 22944 23904 24070 27724 28680 28884 29880 34416 34655 36105 38240 38512 39674 39840 41586 41760 43020 43326 48140 55448 57360 57768 59511 59760 62379 68832 69310 72210 77024 79348 83172 86040 86652 96280 99185 103965 108315 110896 114720 115536 119022 119520 124758 138620 144420 158696 166344 172080 173304 178533 192560 198370 207930 216630 221792 231072 238044 249516 277240 288840 297555 311895 317392 332688 344160 346608 357066 385120 396740 415860 433260 476088 499032 554480 575273 577680 595110 623790 634784 665376 693216 714132 793480 831720 866520 892665 952176 998064 1108960 1150546 1155360 1190220 1247580 1428264 1586960 1663440 1725819 1733040 1785330 1904352 1996128 2301092 2380440 2495160 2856528 2876365 3173920 3326880 3451638 3466080 3570660 4602184 4760880 4990320 5177457 5713056 5752730 6903276 7141320 8629095 9204368 9521760 9980640 10354914 11505460 13806552 14282640 17258190 18408736 20709828 23010920 25887285 27613104 28565280 34516380 41419656 46021840 51774570 55226208 69032760 82839312 92043680 103549140 138065520 165678624 207098280 276131040 414196560 828393120
- Sum of all divisors σ(n): 2971987200
- Sum of proper divisors (its aliquot sum) s(n): 2143594080
- 828393120 is an abundant number, because the sum of its proper divisors (2143594080) is greater than itself. Its abundance is 1315200960
Bases of 828393120
- Binary: 1100010110000001000110101000002
- Hexadecimal: 0x316046A0
- Base-36: DP7C80
Squares and roots of 828393120
- 828393120 squared (8283931202) is 686235161263334400
- 828393120 cubed (8283931203) is 568472486292636725219328000
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The
square root of 828393120 is 28781.8192614713 -
The
cube root of 828393120 is 939.1727745719
Scales and comparisons
How big is 828393120?- 828,393,120 seconds is equal to 26 years, 17 weeks, 4 days, 21 hours, 12 minutes.
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To count from 1 to 828,393,120 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 828393120 cubic inches would be around 78.3 feet tall.
Recreational maths with 828393120
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