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1,006,068

1,006,068 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.).

1,006,068 (one million six thousand sixty-eight) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7² × 29 × 59. Its proper divisors sum to 1,866,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59F4.

Abundant Number Arithmetic Number Cube-Free Flippable Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
8,606,001
Flips to (rotate 180°)
8,909,001
Square (n²)
1,012,172,820,624
Cube (n³)
1,018,314,685,299,546,432
Divisor count
72
σ(n) — sum of divisors
2,872,800
φ(n) — Euler's totient
272,832
Sum of prime factors
109

Primality

Prime factorization: 2 2 × 3 × 7 2 × 29 × 59

Nearest primes: 1,006,063 (−5) · 1,006,087 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 29 · 42 · 49 · 58 · 59 · 84 · 87 · 98 · 116 · 118 · 147 · 174 · 177 · 196 · 203 · 236 · 294 · 348 · 354 · 406 · 413 · 588 · 609 · 708 · 812 · 826 · 1218 · 1239 · 1421 · 1652 · 1711 · 2436 · 2478 · 2842 · 2891 · 3422 · 4263 · 4956 · 5133 · 5684 · 5782 · 6844 · 8526 · 8673 · 10266 · 11564 · 11977 · 17052 · 17346 · 20532 · 23954 · 34692 · 35931 · 47908 · 71862 · 83839 · 143724 · 167678 · 251517 · 335356 · 503034 (half) · 1006068
Aliquot sum (sum of proper divisors): 1,866,732
Factor pairs (a × b = 1,006,068)
1 × 1006068
2 × 503034
3 × 335356
4 × 251517
6 × 167678
7 × 143724
12 × 83839
14 × 71862
21 × 47908
28 × 35931
29 × 34692
42 × 23954
49 × 20532
58 × 17346
59 × 17052
84 × 11977
87 × 11564
98 × 10266
116 × 8673
118 × 8526
147 × 6844
174 × 5782
177 × 5684
196 × 5133
203 × 4956
236 × 4263
294 × 3422
348 × 2891
354 × 2842
406 × 2478
413 × 2436
588 × 1711
609 × 1652
708 × 1421
812 × 1239
826 × 1218
First multiples
1,006,068 · 2,012,136 (double) · 3,018,204 · 4,024,272 · 5,030,340 · 6,036,408 · 7,042,476 · 8,048,544 · 9,054,612 · 10,060,680

Sums & aliquot sequence

As consecutive integers: 335,355 + 335,356 + 335,357 143,721 + 143,722 + … + 143,727 125,755 + 125,756 + … + 125,762 47,898 + 47,899 + … + 47,918
Aliquot sequence: 1,006,068 1,866,732 3,197,460 7,511,532 12,659,220 35,240,940 90,073,620 267,048,684 545,677,076 564,177,964 585,724,076 586,252,660 852,445,580 1,248,581,236 1,248,581,292 2,127,880,020 4,681,337,388 — unresolved within range

Continued fraction of √n

√1,006,068 = [1003; (34, 2006)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million six thousand sixty-eight
Ordinal
1006068th
Binary
11110101100111110100
Octal
3654764
Hexadecimal
0xF59F4
Base64
D1n0
One's complement
4,293,961,227 (32-bit)
Scientific notation
1.006068 × 10⁶
As a duration
1,006,068 s = 11 days, 15 hours, 27 minutes, 48 seconds
In other bases
ternary (3) 1220010001210
quaternary (4) 3311213310
quinary (5) 224143233
senary (6) 33321420
septenary (7) 11360100
nonary (9) 1803053
undecimal (11) 627968
duodecimal (12) 406270
tridecimal (13) 292c0b
tetradecimal (14) 1c2900
pentadecimal (15) 14d163

As an angle

1,006,068° = 2,794 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬六千零六十八
Chinese (financial)
壹佰萬陸仟零陸拾捌
In other modern scripts
Eastern Arabic ١٠٠٦٠٦٨ Devanagari १००६०६८ Bengali ১০০৬০৬৮ Tamil ௧௦௦௬௦௬௮ Thai ๑๐๐๖๐๖๘ Tibetan ༡༠༠༦༠༦༨ Khmer ១០០៦០៦៨ Lao ໑໐໐໖໐໖໘ Burmese ၁၀၀၆၀၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006068, here are decompositions:

  • 5 + 1006063 = 1006068
  • 31 + 1006037 = 1006068
  • 47 + 1006021 = 1006068
  • 61 + 1006007 = 1006068
  • 79 + 1005989 = 1006068
  • 97 + 1005971 = 1006068
  • 109 + 1005959 = 1006068
  • 131 + 1005937 = 1006068

Showing the first eight; more decompositions exist.

Hex color
#0F59F4
RGB(15, 89, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.244.

Address
0.15.89.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.89.244

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

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 1,006,068 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°.