73128960
73,128,960 is an even composite number composed of four prime numbers multiplied together.
73128960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 73128960:
210 × 33 × 5 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 23)See below for interesting mathematical facts about the number 73128960 from the Numbermatics database.
Names of 73128960
- Cardinal: 73128960 can be written as Seventy-three million, one hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 7.312896 × 107
Factors of 73128960
Divisors of 73128960
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 90 92 96 108 115 120 128 135 138 144 160 180 184 192 207 216 230 240 256 270 276 288 320 345 360 368 384 414 432 460 480 512 529 540 552 576 621 640 690 720 736 768 828 864 920 960 1024 1035 1058 1080 1104 1152 1242 1280 1380 1440 1472 1536 1587 1656 1728 1840 1920 2070 2116 2160 2208 2304 2484 2560 2645 2760 2880 2944 3072 3105 3174 3312 3456 3680 3840 4140 4232 4320 4416 4608 4761 4968 5120 5290 5520 5760 5888 6210 6348 6624 6912 7360 7680 7935 8280 8464 8640 8832 9216 9522 9936 10580 11040 11520 11776 12420 12696 13248 13824 14283 14720 15360 15870 16560 16928 17280 17664 19044 19872 21160 22080 23040 23552 23805 24840 25392 26496 27648 28566 29440 31740 33120 33856 34560 35328 38088 39744 42320 44160 46080 47610 49680 50784 52992 57132 58880 63480 66240 67712 69120 70656 71415 76176 79488 84640 88320 95220 99360 101568 105984 114264 117760 126960 132480 135424 138240 142830 152352 158976 169280 176640 190440 198720 203136 211968 228528 253920 264960 270848 285660 304704 317952 338560 353280 380880 397440 406272 457056 507840 529920 541696 571320 609408 635904 677120 761760 794880 812544 914112 1015680 1059840 1142640 1218816 1354240 1523520 1589760 1625088 1828224 2031360 2285280 2437632 2708480 3047040 3179520 3656448 4062720 4570560 4875264 6094080 7312896 8125440 9141120 12188160 14625792 18282240 24376320 36564480 73128960
- Sum of all divisors σ(n): 271677840
- Sum of proper divisors (its aliquot sum) s(n): 198548880
- 73128960 is an abundant number, because the sum of its proper divisors (198548880) is greater than itself. Its abundance is 125419920
Bases of 73128960
- Binary: 1000101101111011100000000002
- Hexadecimal: 0x45BDC00
- Base-36: 17JEO0
Squares and roots of 73128960
- 73128960 squared (731289602) is 5347844790681600
- 73128960 cubed (731289603) is 391082327783963099136000
-
The
square root of 73128960 is 8551.5472284261 -
The
cube root of 73128960 is 418.1798787787
Scales and comparisons
How big is 73128960?- 73,128,960 seconds is equal to 2 years, 16 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 73,128,960 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 73128960 cubic inches would be around 34.8 feet tall.
Recreational maths with 73128960
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