72478980
72,478,980 is an even composite number composed of seven prime numbers multiplied together.
72478980 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 72478980:
22 × 32 × 5 × 7 × 23 × 41 × 61
(2 × 2 × 3 × 3 × 5 × 7 × 23 × 41 × 61)See below for interesting mathematical facts about the number 72478980 from the Numbermatics database.
Names of 72478980
- Cardinal: 72478980 can be written as Seventy-two million, four hundred seventy-eight thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 7.247898 × 107
Factors of 72478980
Divisors of 72478980
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 41 42 45 46 60 61 63 69 70 82 84 90 92 105 115 122 123 126 138 140 161 164 180 183 205 207 210 230 244 246 252 276 287 305 315 322 345 366 369 410 414 420 427 460 483 492 549 574 610 615 630 644 690 732 738 805 820 828 854 861 915 943 966 1035 1098 1148 1220 1230 1260 1281 1380 1403 1435 1449 1476 1610 1708 1722 1830 1845 1886 1932 2070 2135 2196 2415 2460 2501 2562 2583 2745 2806 2829 2870 2898 3220 3444 3660 3690 3772 3843 4140 4209 4270 4305 4715 4830 5002 5124 5166 5490 5612 5658 5740 5796 6405 6601 7015 7245 7380 7503 7686 8418 8487 8540 8610 9430 9660 9821 10004 10332 10980 11316 12505 12627 12810 12915 13202 14030 14145 14490 15006 15372 16836 16974 17220 17507 18860 19215 19642 19803 21045 22509 25010 25254 25620 25830 26404 28060 28290 28980 29463 30012 33005 33948 35014 37515 38430 39284 39606 42090 42435 45018 49105 50020 50508 51660 52521 56580 57523 58926 59409 63135 66010 70028 75030 76860 79212 84180 84870 87535 88389 90036 98210 99015 105042 112545 115046 117852 118818 126270 132020 147315 150060 157563 169740 172569 175070 176778 196420 198030 210084 225090 230092 237636 252540 262605 287615 294630 297045 315126 345138 350140 353556 396060 402661 441945 450180 517707 525210 575230 589260 594090 630252 690276 787815 805322 862845 883890 1035414 1050420 1150460 1188180 1207983 1575630 1610644 1725690 1767780 2013305 2070828 2415966 2588535 3151260 3451380 3623949 4026610 4831932 5177070 6039915 7247898 8053220 10354140 12079830 14495796 18119745 24159660 36239490 72478980
- Sum of all divisors σ(n): 272982528
- Sum of proper divisors (its aliquot sum) s(n): 200503548
- 72478980 is an abundant number, because the sum of its proper divisors (200503548) is greater than itself. Its abundance is 128024568
Bases of 72478980
- Binary: 1000101000111110001000001002
- Hexadecimal: 0x451F104
- Base-36: 175H50
Squares and roots of 72478980
- 72478980 squared (724789802) is 5253202541840400
- 72478980 cubed (724789803) is 380746761965999514792000
-
The
square root of 72478980 is 8513.4587565807 -
The
cube root of 72478980 is 416.9372436311
Scales and comparisons
How big is 72478980?- 72,478,980 seconds is equal to 2 years, 15 weeks, 5 days, 21 hours, 3 minutes.
-
To count from 1 to 72,478,980 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 72478980 cubic inches would be around 34.7 feet tall.
Recreational maths with 72478980
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