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990,000

990,000 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.).

990,000 (nine hundred ninety thousand) is an even 6-digit number. It is a composite number with 150 divisors, and factors as 2⁴ × 3² × 5⁴ × 11. Its proper divisors sum to 2,786,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1B30.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
99
Flips to (rotate 180°)
66
Square (n²)
980,100,000,000
Cube (n³)
970,299,000,000,000,000
Divisor count
150
σ(n) — sum of divisors
3,776,916
φ(n) — Euler's totient
240,000
Sum of prime factors
45

Primality

Prime factorization: 2 4 × 3 2 × 5 4 × 11

Nearest primes: 989,999 (−1) · 990,001 (+1)

Divisors & multiples

All divisors (150)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 25 · 30 · 33 · 36 · 40 · 44 · 45 · 48 · 50 · 55 · 60 · 66 · 72 · 75 · 80 · 88 · 90 · 99 · 100 · 110 · 120 · 125 · 132 · 144 · 150 · 165 · 176 · 180 · 198 · 200 · 220 · 225 · 240 · 250 · 264 · 275 · 300 · 330 · 360 · 375 · 396 · 400 · 440 · 450 · 495 · 500 · 528 · 550 · 600 · 625 · 660 · 720 · 750 · 792 · 825 · 880 · 900 · 990 · 1000 · 1100 · 1125 · 1200 · 1250 · 1320 · 1375 · 1500 · 1584 · 1650 · 1800 · 1875 · 1980 · 2000 · 2200 · 2250 · 2475 · 2500 · 2640 · 2750 · 3000 · 3300 · 3600 · 3750 · 3960 · 4125 · 4400 · 4500 · 4950 · 5000 · 5500 · 5625 · 6000 · 6600 · 6875 · 7500 · 7920 · 8250 · 9000 · 9900 · 10000 · 11000 · 11250 · 12375 · 13200 · 13750 · 15000 · 16500 · 18000 · 19800 · 20625 · 22000 · 22500 · 24750 · 27500 · 30000 · 33000 · 39600 · 41250 · 45000 · 49500 · 55000 · 61875 · 66000 · 82500 · 90000 · 99000 · 110000 · 123750 · 165000 · 198000 · 247500 · 330000 · 495000 (half) · 990000
Aliquot sum (sum of proper divisors): 2,786,916
Factor pairs (a × b = 990,000)
1 × 990000
2 × 495000
3 × 330000
4 × 247500
5 × 198000
6 × 165000
8 × 123750
9 × 110000
10 × 99000
11 × 90000
12 × 82500
15 × 66000
16 × 61875
18 × 55000
20 × 49500
22 × 45000
24 × 41250
25 × 39600
30 × 33000
33 × 30000
36 × 27500
40 × 24750
44 × 22500
45 × 22000
48 × 20625
50 × 19800
55 × 18000
60 × 16500
66 × 15000
72 × 13750
75 × 13200
80 × 12375
88 × 11250
90 × 11000
99 × 10000
100 × 9900
110 × 9000
120 × 8250
125 × 7920
132 × 7500
144 × 6875
150 × 6600
165 × 6000
176 × 5625
180 × 5500
198 × 5000
200 × 4950
220 × 4500
225 × 4400
240 × 4125
250 × 3960
264 × 3750
275 × 3600
300 × 3300
330 × 3000
360 × 2750
375 × 2640
396 × 2500
400 × 2475
440 × 2250
450 × 2200
495 × 2000
500 × 1980
528 × 1875
550 × 1800
600 × 1650
625 × 1584
660 × 1500
720 × 1375
750 × 1320
792 × 1250
825 × 1200
880 × 1125
900 × 1100
990 × 1000
First multiples
990,000 · 1,980,000 (double) · 2,970,000 · 3,960,000 · 4,950,000 · 5,940,000 · 6,930,000 · 7,920,000 · 8,910,000 · 9,900,000

Sums & aliquot sequence

As consecutive integers: 329,999 + 330,000 + 330,001 197,998 + 197,999 + 198,000 + 198,001 + 198,002 109,996 + 109,997 + … + 110,004 89,995 + 89,996 + … + 90,005
Aliquot sequence: 990,000 2,786,916 4,486,812 7,541,988 10,056,012 13,463,988 19,134,732 25,925,668 19,444,258 11,257,262 5,628,634 3,581,894 1,851,586 1,178,318 589,162 420,854 332,554 — unresolved within range

Continued fraction of √n

√990,000 = [994; (1, 78, 1, 1, 2, 79, 5, 79, 2, 1, 1, 78, 1, 1988)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand
Ordinal
990000th
Binary
11110001101100110000
Octal
3615460
Hexadecimal
0xF1B30
Base64
Dxsw
One's complement
4,293,977,295 (32-bit)
Scientific notation
9.9 × 10⁵
As a duration
990,000 s = 11 days, 11 hours
In other bases
ternary (3) 1212022000200
quaternary (4) 3301230300
quinary (5) 223140000
senary (6) 33115200
septenary (7) 11262204
nonary (9) 1768020
undecimal (11) 616890
duodecimal (12) 3b8b00
tridecimal (13) 2887cb
tetradecimal (14) 1bab04
pentadecimal (15) 148500

As an angle

990,000° = 2,750 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍
Greek (Milesian)
͵ϡϟ
Chinese
九十九萬
Chinese (financial)
玖拾玖萬
In other modern scripts
Eastern Arabic ٩٩٠٠٠٠ Devanagari ९९०००० Bengali ৯৯০০০০ Tamil ௯௯௦௦௦௦ Thai ๙๙๐๐๐๐ Tibetan ༩༩༠༠༠༠ Khmer ៩៩០០០០ Lao ໙໙໐໐໐໐ Burmese ၉၉၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990000, here are decompositions:

  • 19 + 989981 = 990000
  • 23 + 989977 = 990000
  • 29 + 989971 = 990000
  • 41 + 989959 = 990000
  • 61 + 989939 = 990000
  • 71 + 989929 = 990000
  • 79 + 989921 = 990000
  • 83 + 989917 = 990000

Showing the first eight; more decompositions exist.

Hex color
#0F1B30
RGB(15, 27, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.48.

Address
0.15.27.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.27.48

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 990,000 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°.