20971440
20,971,440 is an even composite number composed of six prime numbers multiplied together.
20971440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 20971440:
24 × 33 × 5 × 7 × 19 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 73)See below for interesting mathematical facts about the number 20971440 from the Numbermatics database.
Names of 20971440
- Cardinal: 20971440 can be written as Twenty million, nine hundred seventy-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.097144 × 107
Factors of 20971440
Divisors of 20971440
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 35 36 38 40 42 45 48 54 56 57 60 63 70 72 73 76 80 84 90 95 105 108 112 114 120 126 133 135 140 144 146 152 168 171 180 189 190 210 216 219 228 240 252 266 270 280 285 292 304 315 336 342 360 365 378 380 399 420 432 438 456 504 511 513 532 540 560 570 584 630 657 665 684 720 730 756 760 798 840 855 876 912 945 1008 1022 1026 1064 1080 1095 1140 1168 1197 1260 1314 1330 1368 1387 1460 1512 1520 1533 1596 1680 1710 1752 1890 1971 1995 2044 2052 2128 2160 2190 2280 2394 2520 2555 2565 2628 2660 2736 2774 2920 3024 3066 3192 3285 3420 3504 3591 3780 3942 3990 4088 4104 4161 4380 4560 4599 4788 5040 5110 5130 5256 5320 5548 5840 5985 6132 6384 6570 6840 6935 7182 7560 7665 7884 7980 8176 8208 8322 8760 9198 9576 9709 9855 10220 10260 10512 10640 11096 11970 12264 12483 13140 13680 13797 13870 14364 15120 15330 15768 15960 16644 17520 17955 18396 19152 19418 19710 20440 20520 20805 22192 22995 23940 24528 24966 26280 27594 27740 28728 29127 30660 31536 31920 33288 35910 36792 37449 38836 39420 40880 41040 41610 45990 47880 48545 49932 52560 55188 55480 57456 58254 61320 62415 66576 68985 71820 73584 74898 77672 78840 83220 87381 91980 95760 97090 99864 110376 110960 116508 122640 124830 137970 143640 145635 149796 155344 157680 166440 174762 183960 187245 194180 199728 220752 233016 249660 262143 275940 287280 291270 299592 332880 349524 367920 374490 388360 436905 466032 499320 524286 551880 582540 599184 699048 748980 776720 873810 998640 1048572 1103760 1165080 1310715 1398096 1497960 1747620 2097144 2330160 2621430 2995920 3495240 4194288 5242860 6990480 10485720 20971440
- Sum of all divisors σ(n): 88089600
- Sum of proper divisors (its aliquot sum) s(n): 67118160
- 20971440 is an abundant number, because the sum of its proper divisors (67118160) is greater than itself. Its abundance is 46146720
Bases of 20971440
- Binary: 10011111111111111101100002
- Hexadecimal: 0x13FFFB0
- Base-36: CHHO0
Squares and roots of 20971440
- 20971440 squared (209714402) is 439801295673600
- 20971440 cubed (209714403) is 9223266484141161984000
-
The
square root of 20971440 is 4579.4584832707 -
The
cube root of 20971440 is 275.7672896669
Scales and comparisons
How big is 20971440?- 20,971,440 seconds is equal to 34 weeks, 4 days, 17 hours, 24 minutes.
-
To count from 1 to 20,971,440 would take you about two hours!
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 20971440 cubic inches would be around 23 feet tall.
Recreational maths with 20971440
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