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990,600

990,600 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.).

990,600 (nine hundred ninety thousand six hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 13 × 127. Its proper divisors sum to 2,342,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1D88.

Abundant Number Arithmetic Number Evil Number Flippable Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
6,099
Flips to (rotate 180°)
9,066
Square (n²)
981,288,360,000
Cube (n³)
972,064,249,416,000,000
Divisor count
96
σ(n) — sum of divisors
3,333,120
φ(n) — Euler's totient
241,920
Sum of prime factors
159

Primality

Prime factorization: 2 3 × 3 × 5 2 × 13 × 127

Nearest primes: 990,599 (−1) · 990,631 (+31)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 20 · 24 · 25 · 26 · 30 · 39 · 40 · 50 · 52 · 60 · 65 · 75 · 78 · 100 · 104 · 120 · 127 · 130 · 150 · 156 · 195 · 200 · 254 · 260 · 300 · 312 · 325 · 381 · 390 · 508 · 520 · 600 · 635 · 650 · 762 · 780 · 975 · 1016 · 1270 · 1300 · 1524 · 1560 · 1651 · 1905 · 1950 · 2540 · 2600 · 3048 · 3175 · 3302 · 3810 · 3900 · 4953 · 5080 · 6350 · 6604 · 7620 · 7800 · 8255 · 9525 · 9906 · 12700 · 13208 · 15240 · 16510 · 19050 · 19812 · 24765 · 25400 · 33020 · 38100 · 39624 · 41275 · 49530 · 66040 · 76200 · 82550 · 99060 · 123825 · 165100 · 198120 · 247650 · 330200 · 495300 (half) · 990600
Aliquot sum (sum of proper divisors): 2,342,520
Factor pairs (a × b = 990,600)
1 × 990600
2 × 495300
3 × 330200
4 × 247650
5 × 198120
6 × 165100
8 × 123825
10 × 99060
12 × 82550
13 × 76200
15 × 66040
20 × 49530
24 × 41275
25 × 39624
26 × 38100
30 × 33020
39 × 25400
40 × 24765
50 × 19812
52 × 19050
60 × 16510
65 × 15240
75 × 13208
78 × 12700
100 × 9906
104 × 9525
120 × 8255
127 × 7800
130 × 7620
150 × 6604
156 × 6350
195 × 5080
200 × 4953
254 × 3900
260 × 3810
300 × 3302
312 × 3175
325 × 3048
381 × 2600
390 × 2540
508 × 1950
520 × 1905
600 × 1651
635 × 1560
650 × 1524
762 × 1300
780 × 1270
975 × 1016
First multiples
990,600 · 1,981,200 (double) · 2,971,800 · 3,962,400 · 4,953,000 · 5,943,600 · 6,934,200 · 7,924,800 · 8,915,400 · 9,906,000

Sums & aliquot sequence

As consecutive integers: 330,199 + 330,200 + 330,201 198,118 + 198,119 + 198,120 + 198,121 + 198,122 76,194 + 76,195 + … + 76,206 66,033 + 66,034 + … + 66,047
Aliquot sequence: 990,600 2,342,520 5,585,400 14,000,400 34,597,370 30,219,910 32,175,290 34,014,022 25,397,210 20,411,206 12,858,554 7,444,486 5,826,554 2,955,334 1,527,746 1,057,774 656,834 — unresolved within range

Continued fraction of √n

√990,600 = [995; (3, 2, 5, 1, 34, 1, 2, 2, 1, 5, 1, 1, 2, 40, 4, 2, 1, 14, 1, 2, 1, 4, 1, 3, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand six hundred
Ordinal
990600th
Binary
11110001110110001000
Octal
3616610
Hexadecimal
0xF1D88
Base64
Dx2I
One's complement
4,293,976,695 (32-bit)
Scientific notation
9.906 × 10⁵
As a duration
990,600 s = 11 days, 11 hours, 10 minutes
In other bases
ternary (3) 1212022211220
quaternary (4) 3301312020
quinary (5) 223144400
senary (6) 33122040
septenary (7) 11264022
nonary (9) 1768756
undecimal (11) 617286
duodecimal (12) 3b9320
tridecimal (13) 288b70
tetradecimal (14) 1bb012
pentadecimal (15) 1487a0

As an angle

990,600° = 2,751 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϡϟχʹ
Chinese
九十九萬零六百
Chinese (financial)
玖拾玖萬零陸佰
In other modern scripts
Eastern Arabic ٩٩٠٦٠٠ Devanagari ९९०६०० Bengali ৯৯০৬০০ Tamil ௯௯௦௬௦௦ Thai ๙๙๐๖๐๐ Tibetan ༩༩༠༦༠༠ Khmer ៩៩០៦០០ Lao ໙໙໐໖໐໐ Burmese ၉၉၀၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990600, here are decompositions:

  • 7 + 990593 = 990600
  • 11 + 990589 = 990600
  • 41 + 990559 = 990600
  • 53 + 990547 = 990600
  • 71 + 990529 = 990600
  • 89 + 990511 = 990600
  • 97 + 990503 = 990600
  • 103 + 990497 = 990600

Showing the first eight; more decompositions exist.

Hex color
#0F1D88
RGB(15, 29, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.29.136.

Address
0.15.29.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.29.136

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 990,600 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 990600 first appears in π at position 261,976 of the decimal expansion (the 261,976ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.