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1,006,840

1,006,840 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.).

1,006,840 (one million six thousand eight hundred forty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,171. Its proper divisors sum to 1,258,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5CF8.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
486,001
Square (n²)
1,013,726,785,600
Cube (n³)
1,020,660,676,813,504,000
Divisor count
16
σ(n) — sum of divisors
2,265,480
φ(n) — Euler's totient
402,720
Sum of prime factors
25,182

Primality

Prime factorization: 2 3 × 5 × 25171

Nearest primes: 1,006,799 (−41) · 1,006,847 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25171 · 50342 · 100684 · 125855 · 201368 · 251710 · 503420 (half) · 1006840
Aliquot sum (sum of proper divisors): 1,258,640
Factor pairs (a × b = 1,006,840)
1 × 1006840
2 × 503420
4 × 251710
5 × 201368
8 × 125855
10 × 100684
20 × 50342
40 × 25171
First multiples
1,006,840 · 2,013,680 (double) · 3,020,520 · 4,027,360 · 5,034,200 · 6,041,040 · 7,047,880 · 8,054,720 · 9,061,560 · 10,068,400

Sums & aliquot sequence

As consecutive integers: 201,366 + 201,367 + 201,368 + 201,369 + 201,370 62,920 + 62,921 + … + 62,935 12,546 + 12,547 + … + 12,625
Aliquot sequence: 1,006,840 1,258,640 1,667,884 1,319,100 2,498,364 4,636,764 8,596,764 16,523,604 25,420,480 40,599,200 63,769,120 86,885,804 65,233,324 58,654,440 150,485,400 408,072,600 1,105,893,000 — unresolved within range

Continued fraction of √n

√1,006,840 = [1003; (2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 16, 4, 2, 1, 14, 5, 1, 3, 3, 1, 2, 1, 1, 2, …)]

Representations

In words
one million six thousand eight hundred forty
Ordinal
1006840th
Binary
11110101110011111000
Octal
3656370
Hexadecimal
0xF5CF8
Base64
D1z4
One's complement
4,293,960,455 (32-bit)
Scientific notation
1.00684 × 10⁶
As a duration
1,006,840 s = 11 days, 15 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 1220011010101
quaternary (4) 3311303320
quinary (5) 224204330
senary (6) 33325144
septenary (7) 11362252
nonary (9) 1804111
undecimal (11) 6284aa
duodecimal (12) 4067b4
tridecimal (13) 293383
tetradecimal (14) 1c2cd2
pentadecimal (15) 14d4ca

As an angle

1,006,840° = 2,796 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百萬六千八百四十
Chinese (financial)
壹佰萬陸仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٠٠٦٨٤٠ Devanagari १००६८४० Bengali ১০০৬৮৪০ Tamil ௧௦௦௬௮௪௦ Thai ๑๐๐๖๘๔๐ Tibetan ༡༠༠༦༨༤༠ Khmer ១០០៦៨៤០ Lao ໑໐໐໖໘໔໐ Burmese ၁၀၀၆၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006840, here are decompositions:

  • 41 + 1006799 = 1006840
  • 59 + 1006781 = 1006840
  • 71 + 1006769 = 1006840
  • 89 + 1006751 = 1006840
  • 101 + 1006739 = 1006840
  • 227 + 1006613 = 1006840
  • 251 + 1006589 = 1006840
  • 257 + 1006583 = 1006840

Showing the first eight; more decompositions exist.

Hex color
#0F5CF8
RGB(15, 92, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.248.

Address
0.15.92.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.92.248

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 1,006,840 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°.