164215680
164,215,680 is an even composite number composed of five prime numbers multiplied together.
164215680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 164215680:
27 × 3 × 5 × 312 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 31 × 89)See below for interesting mathematical facts about the number 164215680 from the Numbermatics database.
Names of 164215680
- Cardinal: 164215680 can be written as One hundred sixty-four million, two hundred fifteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.6421568 × 108
Factors of 164215680
Divisors of 164215680
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 89 93 96 120 124 128 155 160 178 186 192 240 248 267 310 320 356 372 384 445 465 480 496 534 620 640 712 744 890 930 960 961 992 1068 1240 1335 1424 1488 1780 1860 1920 1922 1984 2136 2480 2670 2759 2848 2883 2976 3560 3720 3844 3968 4272 4805 4960 5340 5518 5696 5766 5952 7120 7440 7688 8277 8544 9610 9920 10680 11036 11392 11532 11904 13795 14240 14415 14880 15376 16554 17088 19220 19840 21360 22072 23064 27590 28480 28830 29760 30752 33108 34176 38440 41385 42720 44144 46128 55180 56960 57660 59520 61504 66216 76880 82770 85440 85529 88288 92256 110360 115320 123008 132432 153760 165540 170880 171058 176576 184512 220720 230640 256587 264864 307520 331080 342116 353152 369024 427645 441440 461280 513174 529728 615040 662160 684232 855290 882880 922560 1026348 1059456 1282935 1324320 1368464 1710580 1765760 1845120 2052696 2565870 2648640 2736928 3421160 4105392 5131740 5297280 5473856 6842320 8210784 10263480 10947712 13684640 16421568 20526960 27369280 32843136 41053920 54738560 82107840 164215680
- Sum of all divisors σ(n): 546944400
- Sum of proper divisors (its aliquot sum) s(n): 382728720
- 164215680 is an abundant number, because the sum of its proper divisors (382728720) is greater than itself. Its abundance is 218513040
Bases of 164215680
- Binary: 10011100100110111011100000002
- Hexadecimal: 0x9C9BB80
- Base-36: 2PRPMO
Squares and roots of 164215680
- 164215680 squared (1642156802) is 26966789557862400
- 164215680 cubed (1642156803) is 4428369684661273362432000
-
The
square root of 164215680 is 12814.6665973017 -
The
cube root of 164215680 is 547.6102152961
Scales and comparisons
How big is 164215680?- 164,215,680 seconds is equal to 5 years, 11 weeks, 3 days, 15 hours, 28 minutes.
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To count from 1 to 164,215,680 would take you about seven 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 164215680 cubic inches would be around 45.6 feet tall.
Recreational maths with 164215680
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