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990,840

990,840 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.).

990,840 (nine hundred ninety thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 23 × 359. Its proper divisors sum to 2,119,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1E78.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
48,099
Square (n²)
981,763,905,600
Cube (n³)
972,770,948,224,704,000
Divisor count
64
σ(n) — sum of divisors
3,110,400
φ(n) — Euler's totient
252,032
Sum of prime factors
396

Primality

Prime factorization: 2 3 × 3 × 5 × 23 × 359

Nearest primes: 990,809 (−31) · 990,841 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 23 · 24 · 30 · 40 · 46 · 60 · 69 · 92 · 115 · 120 · 138 · 184 · 230 · 276 · 345 · 359 · 460 · 552 · 690 · 718 · 920 · 1077 · 1380 · 1436 · 1795 · 2154 · 2760 · 2872 · 3590 · 4308 · 5385 · 7180 · 8257 · 8616 · 10770 · 14360 · 16514 · 21540 · 24771 · 33028 · 41285 · 43080 · 49542 · 66056 · 82570 · 99084 · 123855 · 165140 · 198168 · 247710 · 330280 · 495420 (half) · 990840
Aliquot sum (sum of proper divisors): 2,119,560
Factor pairs (a × b = 990,840)
1 × 990840
2 × 495420
3 × 330280
4 × 247710
5 × 198168
6 × 165140
8 × 123855
10 × 99084
12 × 82570
15 × 66056
20 × 49542
23 × 43080
24 × 41285
30 × 33028
40 × 24771
46 × 21540
60 × 16514
69 × 14360
92 × 10770
115 × 8616
120 × 8257
138 × 7180
184 × 5385
230 × 4308
276 × 3590
345 × 2872
359 × 2760
460 × 2154
552 × 1795
690 × 1436
718 × 1380
920 × 1077
First multiples
990,840 · 1,981,680 (double) · 2,972,520 · 3,963,360 · 4,954,200 · 5,945,040 · 6,935,880 · 7,926,720 · 8,917,560 · 9,908,400

Sums & aliquot sequence

As consecutive integers: 330,279 + 330,280 + 330,281 198,166 + 198,167 + 198,168 + 198,169 + 198,170 66,049 + 66,050 + … + 66,063 61,920 + 61,921 + … + 61,935
Aliquot sequence: 990,840 2,119,560 4,619,640 9,390,120 20,443,800 47,833,080 95,666,520 206,445,480 412,891,320 856,009,320 1,712,019,000 3,943,854,600 10,326,660,600 — keeps growing

Continued fraction of √n

√990,840 = [995; (2, 2, 3, 1, 4, 1, 3, 2, 2, 1990)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand eight hundred forty
Ordinal
990840th
Binary
11110001111001111000
Octal
3617170
Hexadecimal
0xF1E78
Base64
Dx54
One's complement
4,293,976,455 (32-bit)
Scientific notation
9.9084 × 10⁵
As a duration
990,840 s = 11 days, 11 hours, 14 minutes
In other bases
ternary (3) 1212100011210
quaternary (4) 3301321320
quinary (5) 223201330
senary (6) 33123120
septenary (7) 11264514
nonary (9) 1770153
undecimal (11) 617484
duodecimal (12) 3b94a0
tridecimal (13) 288cc6
tetradecimal (14) 1bb144
pentadecimal (15) 1488b0

As an angle

990,840° = 2,752 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟωμʹ
Chinese
九十九萬零八百四十
Chinese (financial)
玖拾玖萬零捌佰肆拾
In other modern scripts
Eastern Arabic ٩٩٠٨٤٠ Devanagari ९९०८४० Bengali ৯৯০৮৪০ Tamil ௯௯௦௮௪௦ Thai ๙๙๐๘๔๐ Tibetan ༩༩༠༨༤༠ Khmer ៩៩០៨៤០ Lao ໙໙໐໘໔໐ Burmese ၉၉၀၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990840, here are decompositions:

  • 31 + 990809 = 990840
  • 41 + 990799 = 990840
  • 43 + 990797 = 990840
  • 73 + 990767 = 990840
  • 79 + 990761 = 990840
  • 107 + 990733 = 990840
  • 167 + 990673 = 990840
  • 197 + 990643 = 990840

Showing the first eight; more decompositions exist.

Hex color
#0F1E78
RGB(15, 30, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.30.120.

Address
0.15.30.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.30.120

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 990,840 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 990840 first appears in π at position 328,710 of the decimal expansion (the 328,710ordinal-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°.