29968320
29,968,320 is an even composite number composed of six prime numbers multiplied together.
29968320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 29968320:
26 × 3 × 5 × 19 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 31 × 53)See below for interesting mathematical facts about the number 29968320 from the Numbermatics database.
Names of 29968320
- Cardinal: 29968320 can be written as Twenty-nine million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.996832 × 107
Factors of 29968320
Divisors of 29968320
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 32 38 40 48 53 57 60 62 64 76 80 93 95 96 106 114 120 124 152 155 159 160 186 190 192 212 228 240 248 265 285 304 310 318 320 372 380 424 456 465 480 496 530 570 589 608 620 636 744 760 795 848 912 930 960 992 1007 1060 1140 1178 1216 1240 1272 1488 1520 1590 1643 1696 1767 1824 1860 1984 2014 2120 2280 2356 2480 2544 2945 2976 3021 3040 3180 3286 3392 3534 3648 3720 4028 4240 4560 4712 4929 4960 5035 5088 5890 5952 6042 6080 6360 6572 7068 7440 8056 8215 8480 8835 9120 9424 9858 9920 10070 10176 11780 12084 12720 13144 14136 14880 15105 16112 16430 16960 17670 18240 18848 19716 20140 23560 24168 24645 25440 26288 28272 29760 30210 31217 32224 32860 35340 37696 39432 40280 47120 48336 49290 50880 52576 56544 60420 62434 64448 65720 70680 78864 80560 93651 94240 96672 98580 105152 113088 120840 124868 131440 141360 156085 157728 161120 187302 188480 193344 197160 241680 249736 262880 282720 312170 315456 322240 374604 394320 468255 483360 499472 525760 565440 624340 749208 788640 936510 966720 998944 1248680 1498416 1577280 1873020 1997888 2497360 2996832 3746040 4994720 5993664 7492080 9989440 14984160 29968320
- Sum of all divisors σ(n): 105338880
- Sum of proper divisors (its aliquot sum) s(n): 75370560
- 29968320 is an abundant number, because the sum of its proper divisors (75370560) is greater than itself. Its abundance is 45402240
Bases of 29968320
- Binary: 11100100101000111110000002
- Hexadecimal: 0x1C947C0
- Base-36: HUBPC
Squares and roots of 29968320
- 29968320 squared (299683202) is 898100203622400
- 29968320 cubed (299683203) is 26914554294221242368000
-
The
square root of 29968320 is 5474.3328360633 -
The
cube root of 29968320 is 310.6138374887
Scales and comparisons
How big is 29968320?- 29,968,320 seconds is equal to 49 weeks, 3 days, 20 hours, 32 minutes.
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To count from 1 to 29,968,320 would take you about twenty-two 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 29968320 cubic inches would be around 25.9 feet tall.
Recreational maths with 29968320
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The information we have on file for 29968320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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