972961920

Names of 972961920

• Cardinal: 972961920 can be written as Nine hundred seventy-two million, nine hundred sixty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 9.7296192 × 10⁸

Factors of 972961920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 485

Divisors of 972961920

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 59 60 63 64 70 72 80 84 90 96 105 112 118 120 126 128 140 144 160 168 177 180 192 210 224 236 240 252 280 288 295 315 320 336 354 360 384 409 413 420 448 472 480 504 531 560 576 590 630 640 672 708 720 818 826 840 885 896 944 960 1008 1062 1120 1152 1180 1227 1239 1260 1344 1416 1440 1636 1652 1680 1770 1888 1920 2016 2045 2065 2124 2240 2360 2454 2478 2520 2655 2688 2832 2863 2880 3272 3304 3360 3540 3681 3717 3776 4032 4090 4130 4248 4480 4720 4908 4956 5040 5310 5664 5726 5760 6135 6195 6544 6608 6720 7080 7362 7434 7552 8064 8180 8260 8496 8589 9440 9816 9912 10080 10620 11328 11452 12270 12390 13088 13216 13440 14160 14315 14724 14868 16360 16520 16992 17178 18405 18585 18880 19632 19824 20160 21240 22656 22904 24131 24540 24780 25767 26176 26432 28320 28630 29448 29736 32720 33040 33984 34356 36810 37170 37760 39264 39648 40320 42480 42945 45808 48262 49080 49560 51534 52352 52864 56640 57260 58896 59472 65440 66080 67968 68712 72393 73620 74340 78528 79296 84960 85890 91616 96524 98160 99120 103068 113280 114520 117792 118944 120655 128835 130880 132160 137424 144786 147240 148680 157056 158592 168917 169920 171780 183232 193048 196320 198240 206136 217179 229040 235584 237888 241310 257670 261760 264320 274848 289572 294480 297360 337834 339840 343560 361965 366464 386096 392640 396480 412272 434358 458080 471168 475776 482620 506751 515340 549696 579144 588960 594720 675668 687120 723930 772192 785280 792960 824544 844585 868716 916160 965240 1013502 1030680 1085895 1099392 1158288 1177920 1189440 1351336 1374240 1447860 1520253 1544384 1649088 1689170 1737432 1832320 1930480 2027004 2061360 2171790 2316576 2355840 2378880 2533755 2702672 2748480 2895720 3040506 3088768 3298176 3378340 3474864 3860960 4054008 4122720 4343580 4633152 5067510 5405344 5496960 5791440 6081012 6756680 6949728 7601265 7721920 8108016 8245440 8687160 9266304 10135020 10810688 11582880 12162024 13513360 13899456 15202530 15443840 16216032 16490880 17374320 20270040 21621376 23165760 24324048 27026720 27798912 30405060 32432064 34748640 40540080 46331520 48648096 54053440 60810120 64864128 69497280 81080160 97296192 108106880 121620240 138994560 162160320 194592384 243240480 324320640 486480960 972961920
• Sum of all divisors σ(n): 3914352000
• Sum of proper divisors (its aliquot sum) s(n): 2941390080
• 972961920 is an abundant number, because the sum of its proper divisors (2941390080) is greater than itself. Its abundance is 1968428160

Bases of 972961920

• Binary: 111001111111100011100010000000₂
• Hexadecimal: 0x39FE3880
• Base-36: G39Y80

Squares and roots of 972961920

• 972961920 squared (972961920²) is 946654897770086400
• 972961920 cubed (972961920³) is 921059166911786982309888000
• The square root of 972961920 is 31192.3375206155
• The cube root of 972961920 is 990.9048354383

Scales and comparisons

• 972,961,920 seconds is equal to 30 years, 48 weeks, 5 days, 3 hours, 12 minutes.
• To count from 1 to 972,961,920 would take you about forty-six 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 972961920 cubic inches would be around 82.6 feet tall.

Recreational maths with 972961920

• 972961920 backwards is 029169279
• 972961920 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 972961920's digits is 45
• More coming soon!