number.wiki
Live analysis

940,080

940,080 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.).

940,080 (nine hundred forty thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 3,917. Its proper divisors sum to 1,974,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE5830.

Abundant Number Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
80,049
Square (n²)
883,750,406,400
Cube (n³)
830,796,082,048,512,000
Divisor count
40
σ(n) — sum of divisors
2,914,992
φ(n) — Euler's totient
250,624
Sum of prime factors
3,933

Primality

Prime factorization: 2 4 × 3 × 5 × 3917

Nearest primes: 940,073 (−7) · 940,087 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 3917 · 7834 · 11751 · 15668 · 19585 · 23502 · 31336 · 39170 · 47004 · 58755 · 62672 · 78340 · 94008 · 117510 · 156680 · 188016 · 235020 · 313360 · 470040 (half) · 940080
Aliquot sum (sum of proper divisors): 1,974,912
Factor pairs (a × b = 940,080)
1 × 940080
2 × 470040
3 × 313360
4 × 235020
5 × 188016
6 × 156680
8 × 117510
10 × 94008
12 × 78340
15 × 62672
16 × 58755
20 × 47004
24 × 39170
30 × 31336
40 × 23502
48 × 19585
60 × 15668
80 × 11751
120 × 7834
240 × 3917
First multiples
940,080 · 1,880,160 (double) · 2,820,240 · 3,760,320 · 4,700,400 · 5,640,480 · 6,580,560 · 7,520,640 · 8,460,720 · 9,400,800

Sums & aliquot sequence

As consecutive integers: 313,359 + 313,360 + 313,361 188,014 + 188,015 + 188,016 + 188,017 + 188,018 62,665 + 62,666 + … + 62,679 29,362 + 29,363 + … + 29,393
Aliquot sequence: 940,080 → 1,974,912 → 3,451,488 → 5,706,192 → 9,319,632 → 18,196,464 → 37,678,432 → 46,379,696 → 51,650,488 → 55,852,712 → 49,107,148 → 36,880,292 → 31,609,948 → 23,889,804 → 31,938,276 → 42,706,588 → 33,753,796 — unresolved within range

Continued fraction of √n

√940,080 = [969; (1, 1, 2, 1, 2, 1, 4, 7, 1, 2, 1, 3, 1, 2, 2, 1, 1, 7, 2, 5, 1, 1, 2, 1, …)]

Representations

In words
nine hundred forty thousand eighty
Ordinal
940080th
Binary
11100101100000110000
Octal
3454060
Hexadecimal
0xE5830
Base64
Dlgw
One's complement
4,294,027,215 (32-bit)
Scientific notation
9.4008 × 10⁵
As a duration
940,080 s = 10 days, 21 hours, 8 minutes
In other bases
ternary (3) 1202202112210
quaternary (4) 3211200300
quinary (5) 220040310
senary (6) 32052120
septenary (7) 10663521
nonary (9) 1682483
undecimal (11) 592329
duodecimal (12) 394040
tridecimal (13) 26bb7b
tetradecimal (14) 1a6848
pentadecimal (15) 138820

As an angle

940,080° = 2,611 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡμπʹ
Chinese
九十四萬零八十
Chinese (financial)
玖拾肆萬零捌拾
In other modern scripts
Eastern Arabic ٩٤٠٠٨٠ Devanagari ९४००८० Bengali ৯৪০০৮০ Tamil ௯௪௦௦௮௦ Thai ๙๔๐๐๘๐ Tibetan ༩༤༠༠༨༠ Khmer ៩៤០០៨០ Lao ໙໔໐໐໘໐ Burmese ၉၄၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 940080, here are decompositions:

  • 7 + 940073 = 940080
  • 13 + 940067 = 940080
  • 61 + 940019 = 940080
  • 79 + 940001 = 940080
  • 83 + 939997 = 940080
  • 107 + 939973 = 940080
  • 109 + 939971 = 940080
  • 149 + 939931 = 940080

Showing the first eight; more decompositions exist.

Hex color
#0E5830
RGB(14, 88, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.88.48.

Address
0.14.88.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.88.48

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 940,080 and was likely granted around 1909.

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°.