106153920
106,153,920 is an even composite number composed of six prime numbers multiplied together.
106153920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 106153920:
26 × 32 × 5 × 29 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 31 × 41)See below for interesting mathematical facts about the number 106153920 from the Numbermatics database.
Names of 106153920
- Cardinal: 106153920 can be written as One hundred six million, one hundred fifty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0615392 × 108
Factors of 106153920
Divisors of 106153920
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 31 32 36 40 41 45 48 58 60 62 64 72 80 82 87 90 93 96 116 120 123 124 144 145 155 160 164 174 180 186 192 205 232 240 246 248 261 279 288 290 310 320 328 348 360 369 372 410 435 464 465 480 492 496 522 558 576 580 615 620 656 696 720 738 744 820 870 899 928 930 960 984 992 1044 1116 1160 1189 1230 1240 1271 1305 1312 1392 1395 1440 1476 1488 1640 1740 1798 1845 1856 1860 1968 1984 2088 2232 2320 2378 2460 2480 2542 2610 2624 2697 2784 2790 2880 2952 2976 3280 3480 3567 3596 3690 3720 3813 3936 4176 4464 4495 4640 4756 4920 4960 5084 5220 5394 5568 5580 5904 5945 5952 6355 6560 6960 7134 7192 7380 7440 7626 7872 8091 8352 8928 8990 9280 9512 9840 9920 10168 10440 10701 10788 11160 11439 11808 11890 12710 13120 13485 13920 14268 14384 14760 14880 15252 16182 16704 17835 17856 17980 19024 19065 19680 20336 20880 21402 21576 22320 22878 23616 23780 25420 26970 27840 28536 28768 29520 29760 30504 32364 35670 35960 36859 38048 38130 39360 40455 40672 41760 42804 43152 44640 45756 47560 50840 53505 53940 57072 57195 57536 59040 61008 64728 71340 71920 73718 76096 76260 80910 81344 83520 85608 86304 89280 91512 95120 101680 107010 107880 110577 114144 114390 118080 122016 129456 142680 143840 147436 152520 161820 171216 172608 183024 184295 190240 203360 214020 215760 221154 228288 228780 244032 258912 285360 287680 294872 305040 323640 331731 342432 366048 368590 380480 406720 428040 431520 442308 457560 517824 552885 570720 589744 610080 647280 663462 684864 732096 737180 856080 863040 884616 915120 1105770 1141440 1179488 1220160 1294560 1326924 1474360 1658655 1712160 1769232 1830240 2211540 2358976 2589120 2653848 2948720 3317310 3424320 3538464 3660480 4423080 5307696 5897440 6634620 7076928 8846160 10615392 11794880 13269240 17692320 21230784 26538480 35384640 53076960 106153920
- Sum of all divisors σ(n): 399409920
- Sum of proper divisors (its aliquot sum) s(n): 293256000
- 106153920 is an abundant number, because the sum of its proper divisors (293256000) is greater than itself. Its abundance is 187102080
Bases of 106153920
- Binary: 1100101001111000111110000002
- Hexadecimal: 0x653C7C0
- Base-36: 1R78W0
Squares and roots of 106153920
- 106153920 squared (1061539202) is 11268654731366400
- 106153920 cubed (1061539203) is 1196211872861090316288000
-
The
square root of 106153920 is 10303.1024453803 -
The
cube root of 106153920 is 473.4913092127
Scales and comparisons
How big is 106153920?- 106,153,920 seconds is equal to 3 years, 19 weeks, 3 days, 15 hours, 12 minutes.
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To count from 1 to 106,153,920 would take you about five 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 106153920 cubic inches would be around 39.5 feet tall.
Recreational maths with 106153920
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