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1,049,840

1,049,840 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.).

1,049,840 (one million forty-nine thousand eight hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 11 × 1,193. Its proper divisors sum to 1,615,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1004F0.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
489,401
Square (n²)
1,102,164,025,600
Cube (n³)
1,157,095,880,635,904,000
Divisor count
40
σ(n) — sum of divisors
2,665,008
φ(n) — Euler's totient
381,440
Sum of prime factors
1,217

Primality

Prime factorization: 2 4 × 5 × 11 × 1193

Nearest primes: 1,049,837 (−3) · 1,049,843 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 176 · 220 · 440 · 880 · 1193 · 2386 · 4772 · 5965 · 9544 · 11930 · 13123 · 19088 · 23860 · 26246 · 47720 · 52492 · 65615 · 95440 · 104984 · 131230 · 209968 · 262460 · 524920 (half) · 1049840
Aliquot sum (sum of proper divisors): 1,615,168
Factor pairs (a × b = 1,049,840)
1 × 1049840
2 × 524920
4 × 262460
5 × 209968
8 × 131230
10 × 104984
11 × 95440
16 × 65615
20 × 52492
22 × 47720
40 × 26246
44 × 23860
55 × 19088
80 × 13123
88 × 11930
110 × 9544
176 × 5965
220 × 4772
440 × 2386
880 × 1193
First multiples
1,049,840 · 2,099,680 (double) · 3,149,520 · 4,199,360 · 5,249,200 · 6,299,040 · 7,348,880 · 8,398,720 · 9,448,560 · 10,498,400

Sums & aliquot sequence

As consecutive integers: 209,966 + 209,967 + 209,968 + 209,969 + 209,970 95,435 + 95,436 + … + 95,445 32,792 + 32,793 + … + 32,823 19,061 + 19,062 + … + 19,115
Aliquot sequence: 1,049,840 1,615,168 1,590,058 801,782 404,794 249,146 126,694 63,350 72,058 51,494 25,750 22,922 12,154 6,566 5,062 2,534 1,834 — unresolved within range

Continued fraction of √n

√1,049,840 = [1024; (1, 1, 1, 1, 1, 1, 3, 22, 1, 2, 1, 41, 13, 1, 1, 4, 1, 4, 9, 3, 11, 3, 9, 4, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one million forty-nine thousand eight hundred forty
Ordinal
1049840th
Binary
100000000010011110000
Octal
4002360
Hexadecimal
0x1004F0
Base64
EATw
One's complement
4,293,917,455 (32-bit)
Scientific notation
1.04984 × 10⁶
As a duration
1,049,840 s = 12 days, 3 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 1222100002222
quaternary (4) 10000103300
quinary (5) 232043330
senary (6) 34300212
septenary (7) 11631521
nonary (9) 1870088
undecimal (11) 657840
duodecimal (12) 427668
tridecimal (13) 2a9b0c
tetradecimal (14) 1d4848
pentadecimal (15) 15b0e5

As an angle

1,049,840° = 2,916 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零四萬九千八百四十
Chinese (financial)
壹佰零肆萬玖仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٠٤٩٨٤٠ Devanagari १०४९८४० Bengali ১০৪৯৮৪০ Tamil ௧௦௪௯௮௪௦ Thai ๑๐๔๙๘๔๐ Tibetan ༡༠༤༩༨༤༠ Khmer ១០៤៩៨៤០ Lao ໑໐໔໙໘໔໐ Burmese ၁၀၄၉၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049840, here are decompositions:

  • 3 + 1049837 = 1049840
  • 7 + 1049833 = 1049840
  • 13 + 1049827 = 1049840
  • 19 + 1049821 = 1049840
  • 31 + 1049809 = 1049840
  • 67 + 1049773 = 1049840
  • 157 + 1049683 = 1049840
  • 163 + 1049677 = 1049840

Showing the first eight; more decompositions exist.

Hex color
#1004F0
RGB(16, 4, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.4.240.

Address
0.16.4.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.4.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 9840 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9840-04-01 (DMMYYYY (Euro, single-digit day))
  • 9840-10-04 (MMDYYYY (US, single-digit day))
  • 9840-04-10 (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 1,049,840 and was likely granted around 1912.

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°.