68328960
68,328,960 is an even composite number composed of six prime numbers multiplied together.
68328960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 68328960:
29 × 3 × 5 × 7 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 31 × 41)See below for interesting mathematical facts about the number 68328960 from the Numbermatics database.
Names of 68328960
- Cardinal: 68328960 can be written as Sixty-eight million, three hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 6.832896 × 107
Factors of 68328960
Divisors of 68328960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 41 42 48 56 60 62 64 70 80 82 84 93 96 105 112 120 123 124 128 140 155 160 164 168 186 192 205 210 217 224 240 246 248 256 280 287 310 320 328 336 372 384 410 420 434 448 465 480 492 496 512 560 574 615 620 640 651 656 672 744 768 820 840 861 868 896 930 960 984 992 1085 1120 1148 1230 1240 1271 1280 1302 1312 1344 1435 1488 1536 1640 1680 1722 1736 1792 1860 1920 1968 1984 2170 2240 2296 2460 2480 2542 2560 2604 2624 2688 2870 2976 3255 3280 3360 3444 3472 3584 3720 3813 3840 3936 3968 4305 4340 4480 4592 4920 4960 5084 5208 5248 5376 5740 5952 6355 6510 6560 6720 6888 6944 7440 7626 7680 7872 7936 8610 8680 8897 8960 9184 9840 9920 10168 10416 10496 10752 11480 11904 12710 13020 13120 13440 13776 13888 14880 15252 15744 15872 17220 17360 17794 17920 18368 19065 19680 19840 20336 20832 20992 22960 23808 25420 26040 26240 26691 26880 27552 27776 29760 30504 31488 34440 34720 35588 36736 38130 39360 39680 40672 41664 44485 45920 47616 50840 52080 52480 53382 53760 55104 55552 59520 61008 62976 68880 69440 71176 73472 76260 78720 79360 81344 83328 88970 91840 101680 104160 104960 106764 110208 111104 119040 122016 133455 137760 138880 142352 146944 152520 157440 162688 166656 177940 183680 203360 208320 213528 220416 238080 244032 266910 275520 277760 284704 305040 314880 325376 333312 355880 367360 406720 416640 427056 440832 488064 533820 551040 555520 569408 610080 650752 711760 734720 813440 833280 854112 976128 1067640 1102080 1138816 1220160 1423520 1626880 1666560 1708224 1952256 2135280 2204160 2277632 2440320 2847040 3253760 3416448 4270560 4555264 4880640 5694080 6832896 8541120 9761280 11388160 13665792 17082240 22776320 34164480 68328960
- Sum of all divisors σ(n): 263983104
- Sum of proper divisors (its aliquot sum) s(n): 195654144
- 68328960 is an abundant number, because the sum of its proper divisors (195654144) is greater than itself. Its abundance is 127325184
Bases of 68328960
- Binary: 1000001001010011110000000002
- Hexadecimal: 0x4129E00
- Base-36: 14OIYO
Squares and roots of 68328960
- 68328960 squared (683289602) is 4668846774681600
- 68328960 cubed (683289603) is 319017444513348059136000
-
The
square root of 68328960 is 8266.1333161281 -
The
cube root of 68328960 is 408.8226385697
Scales and comparisons
How big is 68328960?- 68,328,960 seconds is equal to 2 years, 8 weeks, 6 days, 20 hours, 16 minutes.
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To count from 1 to 68,328,960 would take you about three 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 68328960 cubic inches would be around 34.1 feet tall.
Recreational maths with 68328960
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