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990,360

990,360 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.).

990,360 (nine hundred ninety thousand three hundred sixty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 7 × 131. Its proper divisors sum to 2,811,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1C98.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
63,099
Square (n²)
980,812,929,600
Cube (n³)
971,357,892,958,656,000
Divisor count
128
σ(n) — sum of divisors
3,801,600
φ(n) — Euler's totient
224,640
Sum of prime factors
158

Primality

Prime factorization: 2 3 × 3 3 × 5 × 7 × 131

Nearest primes: 990,359 (−1) · 990,361 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 54 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 105 · 108 · 120 · 126 · 131 · 135 · 140 · 168 · 180 · 189 · 210 · 216 · 252 · 262 · 270 · 280 · 315 · 360 · 378 · 393 · 420 · 504 · 524 · 540 · 630 · 655 · 756 · 786 · 840 · 917 · 945 · 1048 · 1080 · 1179 · 1260 · 1310 · 1512 · 1572 · 1834 · 1890 · 1965 · 2358 · 2520 · 2620 · 2751 · 3144 · 3537 · 3668 · 3780 · 3930 · 4585 · 4716 · 5240 · 5502 · 5895 · 7074 · 7336 · 7560 · 7860 · 8253 · 9170 · 9432 · 11004 · 11790 · 13755 · 14148 · 15720 · 16506 · 17685 · 18340 · 22008 · 23580 · 24759 · 27510 · 28296 · 33012 · 35370 · 36680 · 41265 · 47160 · 49518 · 55020 · 66024 · 70740 · 82530 · 99036 · 110040 · 123795 · 141480 · 165060 · 198072 · 247590 · 330120 · 495180 (half) · 990360
Aliquot sum (sum of proper divisors): 2,811,240
Factor pairs (a × b = 990,360)
1 × 990360
2 × 495180
3 × 330120
4 × 247590
5 × 198072
6 × 165060
7 × 141480
8 × 123795
9 × 110040
10 × 99036
12 × 82530
14 × 70740
15 × 66024
18 × 55020
20 × 49518
21 × 47160
24 × 41265
27 × 36680
28 × 35370
30 × 33012
35 × 28296
36 × 27510
40 × 24759
42 × 23580
45 × 22008
54 × 18340
56 × 17685
60 × 16506
63 × 15720
70 × 14148
72 × 13755
84 × 11790
90 × 11004
105 × 9432
108 × 9170
120 × 8253
126 × 7860
131 × 7560
135 × 7336
140 × 7074
168 × 5895
180 × 5502
189 × 5240
210 × 4716
216 × 4585
252 × 3930
262 × 3780
270 × 3668
280 × 3537
315 × 3144
360 × 2751
378 × 2620
393 × 2520
420 × 2358
504 × 1965
524 × 1890
540 × 1834
630 × 1572
655 × 1512
756 × 1310
786 × 1260
840 × 1179
917 × 1080
945 × 1048
First multiples
990,360 · 1,980,720 (double) · 2,971,080 · 3,961,440 · 4,951,800 · 5,942,160 · 6,932,520 · 7,922,880 · 8,913,240 · 9,903,600

Sums & aliquot sequence

As consecutive integers: 330,119 + 330,120 + 330,121 198,070 + 198,071 + 198,072 + 198,073 + 198,074 141,477 + 141,478 + … + 141,483 110,036 + 110,037 + … + 110,044
Aliquot sequence: 990,360 2,811,240 7,124,760 16,921,080 43,085,880 101,806,920 229,066,740 571,430,412 1,082,608,884 2,044,928,620 3,354,725,780 4,893,004,396 5,468,652,980 8,006,049,100 11,848,954,404 — keeps growing

Continued fraction of √n

√990,360 = [995; (5, 1, 15, 1, 8, 3, 1, 1, 1, 6, 4, 220, 1, 9, 1, 4, 1, 1, 1, 1, 8, 1, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand three hundred sixty
Ordinal
990360th
Binary
11110001110010011000
Octal
3616230
Hexadecimal
0xF1C98
Base64
DxyY
One's complement
4,293,976,935 (32-bit)
Scientific notation
9.9036 × 10⁵
As a duration
990,360 s = 11 days, 11 hours, 6 minutes
In other bases
ternary (3) 1212022112000
quaternary (4) 3301302120
quinary (5) 223142420
senary (6) 33121000
septenary (7) 11263230
nonary (9) 1768460
undecimal (11) 617088
duodecimal (12) 3b9160
tridecimal (13) 288a17
tetradecimal (14) 1bacc0
pentadecimal (15) 148690

As an angle

990,360° = 2,751 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟτξʹ
Chinese
九十九萬零三百六十
Chinese (financial)
玖拾玖萬零參佰陸拾
In other modern scripts
Eastern Arabic ٩٩٠٣٦٠ Devanagari ९९०३६० Bengali ৯৯০৩৬০ Tamil ௯௯௦௩௬௦ Thai ๙๙๐๓๖๐ Tibetan ༩༩༠༣༦༠ Khmer ៩៩០៣៦០ Lao ໙໙໐໓໖໐ Burmese ၉၉၀၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990360, here are decompositions:

  • 11 + 990349 = 990360
  • 29 + 990331 = 990360
  • 31 + 990329 = 990360
  • 37 + 990323 = 990360
  • 47 + 990313 = 990360
  • 53 + 990307 = 990360
  • 67 + 990293 = 990360
  • 71 + 990289 = 990360

Showing the first eight; more decompositions exist.

Hex color
#0F1C98
RGB(15, 28, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.28.152.

Address
0.15.28.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.28.152

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 990,360 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°.