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991,440

991,440 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.).

991,440 (nine hundred ninety-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 140 divisors, and factors as 2⁴ × 3⁶ × 5 × 17. Its proper divisors sum to 2,667,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF20D0.

Abundant 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
44,199
Square (n²)
982,953,273,600
Cube (n³)
974,539,193,577,984,000
Divisor count
140
σ(n) — sum of divisors
3,659,364
φ(n) — Euler's totient
248,832
Sum of prime factors
48

Primality

Prime factorization: 2 4 × 3 6 × 5 × 17

Nearest primes: 991,429 (−11) · 991,447 (+7)

Divisors & multiples

All divisors (140)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 27 · 30 · 34 · 36 · 40 · 45 · 48 · 51 · 54 · 60 · 68 · 72 · 80 · 81 · 85 · 90 · 102 · 108 · 120 · 135 · 136 · 144 · 153 · 162 · 170 · 180 · 204 · 216 · 240 · 243 · 255 · 270 · 272 · 306 · 324 · 340 · 360 · 405 · 408 · 432 · 459 · 486 · 510 · 540 · 612 · 648 · 680 · 720 · 729 · 765 · 810 · 816 · 918 · 972 · 1020 · 1080 · 1215 · 1224 · 1296 · 1360 · 1377 · 1458 · 1530 · 1620 · 1836 · 1944 · 2040 · 2160 · 2295 · 2430 · 2448 · 2754 · 2916 · 3060 · 3240 · 3645 · 3672 · 3888 · 4080 · 4131 · 4590 · 4860 · 5508 · 5832 · 6120 · 6480 · 6885 · 7290 · 7344 · 8262 · 9180 · 9720 · 11016 · 11664 · 12240 · 12393 · 13770 · 14580 · 16524 · 18360 · 19440 · 20655 · 22032 · 24786 · 27540 · 29160 · 33048 · 36720 · 41310 · 49572 · 55080 · 58320 · 61965 · 66096 · 82620 · 99144 · 110160 · 123930 · 165240 · 198288 · 247860 · 330480 · 495720 (half) · 991440
Aliquot sum (sum of proper divisors): 2,667,924
Factor pairs (a × b = 991,440)
1 × 991440
2 × 495720
3 × 330480
4 × 247860
5 × 198288
6 × 165240
8 × 123930
9 × 110160
10 × 99144
12 × 82620
15 × 66096
16 × 61965
17 × 58320
18 × 55080
20 × 49572
24 × 41310
27 × 36720
30 × 33048
34 × 29160
36 × 27540
40 × 24786
45 × 22032
48 × 20655
51 × 19440
54 × 18360
60 × 16524
68 × 14580
72 × 13770
80 × 12393
81 × 12240
85 × 11664
90 × 11016
102 × 9720
108 × 9180
120 × 8262
135 × 7344
136 × 7290
144 × 6885
153 × 6480
162 × 6120
170 × 5832
180 × 5508
204 × 4860
216 × 4590
240 × 4131
243 × 4080
255 × 3888
270 × 3672
272 × 3645
306 × 3240
324 × 3060
340 × 2916
360 × 2754
405 × 2448
408 × 2430
432 × 2295
459 × 2160
486 × 2040
510 × 1944
540 × 1836
612 × 1620
648 × 1530
680 × 1458
720 × 1377
729 × 1360
765 × 1296
810 × 1224
816 × 1215
918 × 1080
972 × 1020
First multiples
991,440 · 1,982,880 (double) · 2,974,320 · 3,965,760 · 4,957,200 · 5,948,640 · 6,940,080 · 7,931,520 · 8,922,960 · 9,914,400

Sums & aliquot sequence

As a sum of two squares: 216² + 972² = 648² + 756²
As consecutive integers: 330,479 + 330,480 + 330,481 198,286 + 198,287 + 198,288 + 198,289 + 198,290 110,156 + 110,157 + … + 110,164 66,089 + 66,090 + … + 66,103
Aliquot sequence: 991,440 2,667,924 5,239,276 5,426,792 6,202,168 7,088,312 9,984,328 8,736,302 4,368,154 3,674,660 4,744,156 4,046,612 3,451,648 3,559,272 5,338,968 8,107,032 12,160,608 — unresolved within range

Continued fraction of √n

√991,440 = [995; (1, 2, 2, 5, 2, 2, 1, 1990)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-one thousand four hundred forty
Ordinal
991440th
Binary
11110010000011010000
Octal
3620320
Hexadecimal
0xF20D0
Base64
DyDQ
One's complement
4,293,975,855 (32-bit)
Scientific notation
9.9144 × 10⁵
As a duration
991,440 s = 11 days, 11 hours, 24 minutes
In other bases
ternary (3) 1212101000000
quaternary (4) 3302003100
quinary (5) 223211230
senary (6) 33130000
septenary (7) 11266332
nonary (9) 1771000
undecimal (11) 61797a
duodecimal (12) 3b9900
tridecimal (13) 289368
tetradecimal (14) 1bb452
pentadecimal (15) 148b60

As an angle

991,440° = 2,754 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟαυμʹ
Chinese
九十九萬一千四百四十
Chinese (financial)
玖拾玖萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ٩٩١٤٤٠ Devanagari ९९१४४० Bengali ৯৯১৪৪০ Tamil ௯௯௧௪௪௦ Thai ๙๙๑๔๔๐ Tibetan ༩༩༡༤༤༠ Khmer ៩៩១៤៤០ Lao ໙໙໑໔໔໐ Burmese ၉၉၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 991440, here are decompositions:

  • 11 + 991429 = 991440
  • 13 + 991427 = 991440
  • 31 + 991409 = 991440
  • 53 + 991387 = 991440
  • 59 + 991381 = 991440
  • 83 + 991357 = 991440
  • 97 + 991343 = 991440
  • 113 + 991327 = 991440

Showing the first eight; more decompositions exist.

Hex color
#0F20D0
RGB(15, 32, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.32.208.

Address
0.15.32.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.32.208

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 991,440 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 991440 first appears in π at position 187,804 of the decimal expansion (the 187,804ordinal-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°.