830505200
830,505,200 is an even composite number composed of six prime numbers multiplied together.
830505200 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 830505200:
24 × 52 × 7 × 19 × 67 × 233
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 67 × 233)See below for interesting mathematical facts about the number 830505200 from the Numbermatics database.
Names of 830505200
- Cardinal: 830505200 can be written as Eight hundred thirty million, five hundred five thousand, two hundred.
Scientific notation
- Scientific notation: 8.305052 × 108
Factors of 830505200
Divisors of 830505200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 67 70 76 80 95 100 112 133 134 140 152 175 190 200 233 266 268 280 304 335 350 380 400 466 469 475 532 536 560 665 670 700 760 932 938 950 1064 1072 1165 1273 1330 1340 1400 1520 1631 1675 1864 1876 1900 2128 2330 2345 2546 2660 2680 2800 3262 3325 3350 3728 3752 3800 4427 4660 4690 5092 5320 5360 5825 6365 6524 6650 6700 7504 7600 8155 8854 8911 9320 9380 10184 10640 11650 11725 12730 13048 13300 13400 15611 16310 17708 17822 18640 18760 20368 22135 23300 23450 25460 26096 26600 26800 30989 31222 31825 32620 35416 35644 37520 40775 44270 44555 46600 46900 50920 53200 61978 62444 63650 65240 70832 71288 78055 81550 88540 89110 93200 93800 101840 109277 110675 123956 124888 127300 130480 142576 154945 156110 163100 177080 178220 187600 218554 221350 222775 247912 249776 254600 296609 309890 312220 326200 354160 356440 390275 437108 442700 445550 495824 509200 546385 593218 619780 624440 652400 712880 774725 780550 874216 885400 891100 1092770 1186436 1239560 1248880 1483045 1549450 1561100 1748432 1770800 1782200 2076263 2185540 2372872 2479120 2731925 2966090 3098900 3122200 3564400 4152526 4371080 4745744 5463850 5932180 6197800 6244400 7415225 8305052 8742160 10381315 10927700 11864360 12395600 14830450 16610104 20762630 21855400 23728720 29660900 33220208 41525260 43710800 51906575 59321800 83050520 103813150 118643600 166101040 207626300 415252600 830505200
- Sum of all divisors σ(n): 2446629120
- Sum of proper divisors (its aliquot sum) s(n): 1616123920
- 830505200 is an abundant number, because the sum of its proper divisors (1616123920) is greater than itself. Its abundance is 785618720
Bases of 830505200
- Binary: 1100011000000010000000111100002
- Hexadecimal: 0x318080F0
- Base-36: DQGLWW
Squares and roots of 830505200
- 830505200 squared (8305052002) is 689738887227040000
- 830505200 cubed (8305052003) is 572831732484270300608000000
-
The
square root of 830505200 is 28818.4871219845 -
The
cube root of 830505200 is 939.9702721849
Scales and comparisons
How big is 830505200?- 830,505,200 seconds is equal to 26 years, 21 weeks, 1 day, 7 hours, 53 minutes, 20 seconds.
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To count from 1 to 830,505,200 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 830505200 cubic inches would be around 78.3 feet tall.
Recreational maths with 830505200
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