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1,011,066

1,011,066 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,011,066 (one million eleven thousand sixty-six) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 7² × 19 × 181. Its proper divisors sum to 1,478,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D7A.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
6,601,101
Flips to (rotate 180°)
9,901,101
Recamán's sequence
a(360,003) = 1,011,066
Square (n²)
1,022,254,456,356
Cube (n³)
1,033,566,724,170,035,496
Divisor count
48
σ(n) — sum of divisors
2,489,760
φ(n) — Euler's totient
272,160
Sum of prime factors
219

Primality

Prime factorization: 2 × 3 × 7 2 × 19 × 181

Nearest primes: 1,011,037 (−29) · 1,011,067 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 7 · 14 · 19 · 21 · 38 · 42 · 49 · 57 · 98 · 114 · 133 · 147 · 181 · 266 · 294 · 362 · 399 · 543 · 798 · 931 · 1086 · 1267 · 1862 · 2534 · 2793 · 3439 · 3801 · 5586 · 6878 · 7602 · 8869 · 10317 · 17738 · 20634 · 24073 · 26607 · 48146 · 53214 · 72219 · 144438 · 168511 · 337022 · 505533 (half) · 1011066
Aliquot sum (sum of proper divisors): 1,478,694
Factor pairs (a × b = 1,011,066)
1 × 1011066
2 × 505533
3 × 337022
6 × 168511
7 × 144438
14 × 72219
19 × 53214
21 × 48146
38 × 26607
42 × 24073
49 × 20634
57 × 17738
98 × 10317
114 × 8869
133 × 7602
147 × 6878
181 × 5586
266 × 3801
294 × 3439
362 × 2793
399 × 2534
543 × 1862
798 × 1267
931 × 1086
First multiples
1,011,066 · 2,022,132 (double) · 3,033,198 · 4,044,264 · 5,055,330 · 6,066,396 · 7,077,462 · 8,088,528 · 9,099,594 · 10,110,660

Sums & aliquot sequence

As consecutive integers: 337,021 + 337,022 + 337,023 252,765 + 252,766 + 252,767 + 252,768 144,435 + 144,436 + … + 144,441 84,250 + 84,251 + … + 84,261
Aliquot sequence: 1,011,066 1,478,694 2,322,906 2,322,918 3,287,610 5,260,410 8,768,070 14,029,146 17,665,254 21,043,026 24,671,214 28,783,122 28,838,958 28,838,970 54,727,110 91,212,570 146,411,622 — unresolved within range

Continued fraction of √n

√1,011,066 = [1005; (1, 1, 13, 1, 1, 3, 2, 6, 1, 1, 11, 1, 1, 40, 1, 1, 11, 1, 1, 6, 2, 3, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million eleven thousand sixty-six
Ordinal
1011066th
Binary
11110110110101111010
Octal
3666572
Hexadecimal
0xF6D7A
Base64
D216
One's complement
4,293,956,229 (32-bit)
Scientific notation
1.011066 × 10⁶
As a duration
1,011,066 s = 11 days, 16 hours, 51 minutes, 6 seconds
In other bases
ternary (3) 1220100220220
quaternary (4) 3312311322
quinary (5) 224323231
senary (6) 33400510
septenary (7) 11410500
nonary (9) 1810826
undecimal (11) 6306a1
duodecimal (12) 409136
tridecimal (13) 295284
tetradecimal (14) 1c4670
pentadecimal (15) 14e896

As an angle

1,011,066° = 2,808 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬一千零六十六
Chinese (financial)
壹佰零壹萬壹仟零陸拾陸
In other modern scripts
Eastern Arabic ١٠١١٠٦٦ Devanagari १०११०६६ Bengali ১০১১০৬৬ Tamil ௧௦௧௧௦௬௬ Thai ๑๐๑๑๐๖๖ Tibetan ༡༠༡༡༠༦༦ Khmer ១០១១០៦៦ Lao ໑໐໑໑໐໖໖ Burmese ၁၀၁၁၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011066, here are decompositions:

  • 29 + 1011037 = 1011066
  • 37 + 1011029 = 1011066
  • 53 + 1011013 = 1011066
  • 73 + 1010993 = 1011066
  • 83 + 1010983 = 1011066
  • 109 + 1010957 = 1011066
  • 137 + 1010929 = 1011066
  • 149 + 1010917 = 1011066

Showing the first eight; more decompositions exist.

Hex color
#0F6D7A
RGB(15, 109, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.122.

Address
0.15.109.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.122

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 1066 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1066-10-01 (MMDYYYY (US, single-digit day))
  • 1066-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,011,066 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.