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991,320

991,320 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.).

991,320 (nine hundred ninety-one thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 751. Its proper divisors sum to 2,257,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF2058.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
23,199
Square (n²)
982,715,342,400
Cube (n³)
974,185,373,227,968,000
Divisor count
64
σ(n) — sum of divisors
3,248,640
φ(n) — Euler's totient
240,000
Sum of prime factors
776

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 751

Nearest primes: 991,313 (−7) · 991,327 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 55 · 60 · 66 · 88 · 110 · 120 · 132 · 165 · 220 · 264 · 330 · 440 · 660 · 751 · 1320 · 1502 · 2253 · 3004 · 3755 · 4506 · 6008 · 7510 · 8261 · 9012 · 11265 · 15020 · 16522 · 18024 · 22530 · 24783 · 30040 · 33044 · 41305 · 45060 · 49566 · 66088 · 82610 · 90120 · 99132 · 123915 · 165220 · 198264 · 247830 · 330440 · 495660 (half) · 991320
Aliquot sum (sum of proper divisors): 2,257,320
Factor pairs (a × b = 991,320)
1 × 991320
2 × 495660
3 × 330440
4 × 247830
5 × 198264
6 × 165220
8 × 123915
10 × 99132
11 × 90120
12 × 82610
15 × 66088
20 × 49566
22 × 45060
24 × 41305
30 × 33044
33 × 30040
40 × 24783
44 × 22530
55 × 18024
60 × 16522
66 × 15020
88 × 11265
110 × 9012
120 × 8261
132 × 7510
165 × 6008
220 × 4506
264 × 3755
330 × 3004
440 × 2253
660 × 1502
751 × 1320
First multiples
991,320 · 1,982,640 (double) · 2,973,960 · 3,965,280 · 4,956,600 · 5,947,920 · 6,939,240 · 7,930,560 · 8,921,880 · 9,913,200

Sums & aliquot sequence

As consecutive integers: 330,439 + 330,440 + 330,441 198,262 + 198,263 + 198,264 + 198,265 + 198,266 90,115 + 90,116 + … + 90,125 66,081 + 66,082 + … + 66,095
Aliquot sequence: 991,320 2,257,320 5,040,600 11,148,840 28,687,320 64,547,640 162,900,360 448,120,440 1,014,117,480 2,294,605,080 5,162,862,600 15,819,187,320 — keeps growing

Continued fraction of √n

√991,320 = [995; (1, 1, 1, 6, 4, 2, 7, 1, 7, 1, 2, 1, 4, 1, 4, 9, 1, 2, 3, 40, 2, 1, 16, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-one thousand three hundred twenty
Ordinal
991320th
Binary
11110010000001011000
Octal
3620130
Hexadecimal
0xF2058
Base64
DyBY
One's complement
4,293,975,975 (32-bit)
Scientific notation
9.9132 × 10⁵
As a duration
991,320 s = 11 days, 11 hours, 22 minutes
In other bases
ternary (3) 1212100211120
quaternary (4) 3302001120
quinary (5) 223210240
senary (6) 33125240
septenary (7) 11266101
nonary (9) 1770746
undecimal (11) 617880
duodecimal (12) 3b9820
tridecimal (13) 2892a5
tetradecimal (14) 1bb3a8
pentadecimal (15) 148ad0

As an angle

991,320° = 2,753 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡϟατκʹ
Chinese
九十九萬一千三百二十
Chinese (financial)
玖拾玖萬壹仟參佰貳拾
In other modern scripts
Eastern Arabic ٩٩١٣٢٠ Devanagari ९९१३२० Bengali ৯৯১৩২০ Tamil ௯௯௧௩௨௦ Thai ๙๙๑๓๒๐ Tibetan ༩༩༡༣༢༠ Khmer ៩៩១៣២០ Lao ໙໙໑໓໒໐ Burmese ၉၉၁၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 991320, here are decompositions:

  • 7 + 991313 = 991320
  • 47 + 991273 = 991320
  • 59 + 991261 = 991320
  • 97 + 991223 = 991320
  • 103 + 991217 = 991320
  • 139 + 991181 = 991320
  • 149 + 991171 = 991320
  • 173 + 991147 = 991320

Showing the first eight; more decompositions exist.

Hex color
#0F2058
RGB(15, 32, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.32.88.

Address
0.15.32.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.32.88

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 991,320 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°.