85346100
85,346,100 is an even composite number composed of seven prime numbers multiplied together.
85346100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 85346100:
22 × 32 × 52 × 7 × 19 × 23 × 31
(2 × 2 × 3 × 3 × 5 × 5 × 7 × 19 × 23 × 31)See below for interesting mathematical facts about the number 85346100 from the Numbermatics database.
Names of 85346100
- Cardinal: 85346100 can be written as Eighty-five million, three hundred forty-six thousand, one hundred.
Scientific notation
- Scientific notation: 8.53461 × 107
Factors of 85346100
Divisors of 85346100
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 23 25 28 30 31 35 36 38 42 45 46 50 57 60 62 63 69 70 75 76 84 90 92 93 95 100 105 114 115 124 126 133 138 140 150 155 161 171 175 180 186 190 207 210 217 225 228 230 252 266 276 279 285 300 310 315 322 342 345 350 372 380 399 414 420 434 437 450 460 465 475 483 525 532 558 570 575 589 620 630 644 651 665 684 690 700 713 775 798 805 828 855 868 874 900 930 950 966 1035 1050 1085 1116 1140 1150 1178 1197 1260 1302 1311 1330 1380 1395 1425 1426 1449 1550 1575 1596 1610 1710 1725 1748 1767 1860 1900 1932 1953 1995 2070 2100 2139 2170 2185 2300 2325 2356 2394 2415 2604 2622 2660 2790 2850 2852 2898 2945 3059 3100 3150 3220 3255 3325 3420 3450 3534 3565 3906 3933 3990 4025 4123 4140 4275 4278 4340 4370 4650 4788 4830 4991 5175 5244 5301 5425 5580 5700 5796 5890 5985 6118 6300 6417 6510 6555 6650 6900 6975 7068 7130 7245 7812 7866 7980 8050 8246 8550 8556 8740 8835 9177 9300 9660 9765 9975 9982 10350 10602 10695 10850 10925 11780 11970 12075 12236 12369 12834 13020 13110 13300 13547 13950 14260 14490 14725 14973 15295 15732 16100 16275 16492 17100 17670 17825 18354 19530 19665 19950 19964 20615 20700 21204 21390 21700 21850 23940 24150 24738 24955 25668 26220 26505 27094 27531 27900 28980 29450 29925 29946 30590 32085 32550 32775 35340 35650 36225 36708 37107 39060 39330 39900 40641 41230 42780 43700 44175 44919 45885 48300 48825 49476 49910 53010 53475 54188 55062 58900 59850 59892 61180 61845 64170 65100 65550 67735 71300 72450 74214 74865 76475 78660 81282 82460 88350 89838 91770 94829 97650 98325 99820 103075 106020 106950 110124 119700 121923 123690 124775 128340 131100 132525 135470 137655 144900 148428 149730 152950 160425 162564 176700 179676 183540 185535 189658 195300 196650 203205 206150 213900 224595 229425 243846 247380 249550 265050 270940 275310 284487 299460 305900 309225 320850 338675 371070 374325 379316 393300 406410 412300 449190 458850 474145 487692 499100 530100 550620 568974 609615 618450 641700 677350 688275 742140 748650 812820 853461 898380 917700 927675 948290 1016025 1122975 1137948 1219230 1236900 1354700 1376550 1422435 1497300 1706922 1855350 1896580 2032050 2245950 2370725 2438460 2753100 2844870 3048075 3413844 3710700 4064100 4267305 4491900 4741450 5689740 6096150 7112175 8534610 9482900 12192300 14224350 17069220 21336525 28448700 42673050 85346100
- Sum of all divisors σ(n): 346644480
- Sum of proper divisors (its aliquot sum) s(n): 261298380
- 85346100 is an abundant number, because the sum of its proper divisors (261298380) is greater than itself. Its abundance is 175952280
Bases of 85346100
- Binary: 1010001011001000111001101002
- Hexadecimal: 0x5164734
- Base-36: 1ET9H0
Squares and roots of 85346100
- 85346100 squared (853461002) is 7283956785210000
- 85346100 cubed (853461003) is 621657304186211181000000
-
The
square root of 85346100 is 9238.2952972937 -
The
cube root of 85346100 is 440.2789209477
Scales and comparisons
How big is 85346100?- 85,346,100 seconds is equal to 2 years, 37 weeks, 19 hours, 15 minutes.
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To count from 1 to 85,346,100 would take you about four 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 85346100 cubic inches would be around 36.7 feet tall.
Recreational maths with 85346100
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