10506816

Names of 10506816

• Cardinal: 10506816 can be written as Ten million, five hundred six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.0506816 × 10⁷

Factors of 10506816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 88

Divisors of 10506816

• Number of divisors d(n): 168
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 37 48 51 58 64 68 72 74 87 96 102 111 116 136 144 148 153 174 192 204 222 232 261 272 288 296 306 333 348 408 444 464 493 522 544 576 592 612 629 666 696 816 888 928 986 1044 1073 1088 1184 1224 1258 1332 1392 1479 1632 1776 1856 1887 1972 2088 2146 2368 2448 2516 2664 2784 2958 3219 3264 3552 3774 3944 4176 4292 4437 4896 5032 5328 5568 5661 5916 6438 7104 7548 7888 8352 8584 8874 9657 9792 10064 10656 11322 11832 12876 15096 15776 16704 17168 17748 18241 19314 20128 21312 22644 23664 25752 30192 31552 34336 35496 36482 38628 40256 45288 47328 51504 54723 60384 68672 70992 72964 77256 90576 94656 103008 109446 120768 141984 145928 154512 164169 181152 206016 218892 283968 291856 309024 328338 362304 437784 583712 618048 656676 875568 1167424 1313352 1751136 2626704 3502272 5253408 10506816
• Sum of all divisors σ(n): 33878520
• Sum of proper divisors (its aliquot sum) s(n): 23371704
• 10506816 is an abundant number, because the sum of its proper divisors (23371704) is greater than itself. Its abundance is 12864888

Bases of 10506816

• Binary: 101000000101001001000000₂
• Hexadecimal: 0xA05240
• Base-36: 69740

Squares and roots of 10506816

• 10506816 squared (10506816²) is 110393182457856
• 10506816 cubed (10506816³) is 1159880855739120746496
• The square root of 10506816 is 3241.4219102115
• The cube root of 10506816 is 219.0233289717

Scales and comparisons

• 10,506,816 seconds is equal to 17 weeks, 2 days, 14 hours, 33 minutes, 36 seconds.
• To count from 1 to 10,506,816 would take you about twenty-six weeks!

  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 10506816 cubic inches would be around 18.3 feet tall.

Recreational maths with 10506816

• 10506816 backwards is 61860501
• The number of decimal digits it has is: 8
• The sum of 10506816's digits is 27
• More coming soon!