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1,009,800

1,009,800 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.).

1,009,800 (one million nine thousand eight hundred) is an even 7-digit number. It is a composite number with 192 divisors, and factors as 2³ × 3³ × 5² × 11 × 17. Its proper divisors sum to 3,007,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6888.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
89,001
Flips to (rotate 180°)
86,001
Recamán's sequence
a(352,751) = 1,009,800
Square (n²)
1,019,696,040,000
Cube (n³)
1,029,689,061,192,000,000
Divisor count
192
σ(n) — sum of divisors
4,017,600
φ(n) — Euler's totient
230,400
Sum of prime factors
53

Primality

Prime factorization: 2 3 × 3 3 × 5 2 × 11 × 17

Nearest primes: 1,009,787 (−13) · 1,009,807 (+7)

Divisors & multiples

All divisors (192)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 17 · 18 · 20 · 22 · 24 · 25 · 27 · 30 · 33 · 34 · 36 · 40 · 44 · 45 · 50 · 51 · 54 · 55 · 60 · 66 · 68 · 72 · 75 · 85 · 88 · 90 · 99 · 100 · 102 · 108 · 110 · 120 · 132 · 135 · 136 · 150 · 153 · 165 · 170 · 180 · 187 · 198 · 200 · 204 · 216 · 220 · 225 · 255 · 264 · 270 · 275 · 297 · 300 · 306 · 330 · 340 · 360 · 374 · 396 · 408 · 425 · 440 · 450 · 459 · 495 · 510 · 540 · 550 · 561 · 594 · 600 · 612 · 660 · 675 · 680 · 748 · 765 · 792 · 825 · 850 · 900 · 918 · 935 · 990 · 1020 · 1080 · 1100 · 1122 · 1188 · 1224 · 1275 · 1320 · 1350 · 1485 · 1496 · 1530 · 1650 · 1683 · 1700 · 1800 · 1836 · 1870 · 1980 · 2040 · 2200 · 2244 · 2295 · 2376 · 2475 · 2550 · 2700 · 2805 · 2970 · 3060 · 3300 · 3366 · 3400 · 3672 · 3740 · 3825 · 3960 · 4488 · 4590 · 4675 · 4950 · 5049 · 5100 · 5400 · 5610 · 5940 · 6120 · 6600 · 6732 · 7425 · 7480 · 7650 · 8415 · 9180 · 9350 · 9900 · 10098 · 10200 · 11220 · 11475 · 11880 · 13464 · 14025 · 14850 · 15300 · 16830 · 18360 · 18700 · 19800 · 20196 · 22440 · 22950 · 25245 · 28050 · 29700 · 30600 · 33660 · 37400 · 40392 · 42075 · 45900 · 50490 · 56100 · 59400 · 67320 · 84150 · 91800 · 100980 · 112200 · 126225 · 168300 · 201960 · 252450 · 336600 · 504900 (half) · 1009800
Aliquot sum (sum of proper divisors): 3,007,800
Factor pairs (a × b = 1,009,800)
1 × 1009800
2 × 504900
3 × 336600
4 × 252450
5 × 201960
6 × 168300
8 × 126225
9 × 112200
10 × 100980
11 × 91800
12 × 84150
15 × 67320
17 × 59400
18 × 56100
20 × 50490
22 × 45900
24 × 42075
25 × 40392
27 × 37400
30 × 33660
33 × 30600
34 × 29700
36 × 28050
40 × 25245
44 × 22950
45 × 22440
50 × 20196
51 × 19800
54 × 18700
55 × 18360
60 × 16830
66 × 15300
68 × 14850
72 × 14025
75 × 13464
85 × 11880
88 × 11475
90 × 11220
99 × 10200
100 × 10098
102 × 9900
108 × 9350
110 × 9180
120 × 8415
132 × 7650
135 × 7480
136 × 7425
150 × 6732
153 × 6600
165 × 6120
170 × 5940
180 × 5610
187 × 5400
198 × 5100
200 × 5049
204 × 4950
216 × 4675
220 × 4590
225 × 4488
255 × 3960
264 × 3825
270 × 3740
275 × 3672
297 × 3400
300 × 3366
306 × 3300
330 × 3060
340 × 2970
360 × 2805
374 × 2700
396 × 2550
408 × 2475
425 × 2376
440 × 2295
450 × 2244
459 × 2200
495 × 2040
510 × 1980
540 × 1870
550 × 1836
561 × 1800
594 × 1700
600 × 1683
612 × 1650
660 × 1530
675 × 1496
680 × 1485
748 × 1350
765 × 1320
792 × 1275
825 × 1224
850 × 1188
900 × 1122
918 × 1100
935 × 1080
990 × 1020
First multiples
1,009,800 · 2,019,600 (double) · 3,029,400 · 4,039,200 · 5,049,000 · 6,058,800 · 7,068,600 · 8,078,400 · 9,088,200 · 10,098,000

Sums & aliquot sequence

As consecutive integers: 336,599 + 336,600 + 336,601 201,958 + 201,959 + 201,960 + 201,961 + 201,962 112,196 + 112,197 + … + 112,204 91,795 + 91,796 + … + 91,805
Aliquot sequence: 1,009,800 3,007,800 7,371,000 24,340,680 73,153,080 262,964,520 837,771,480 2,558,785,320 7,957,960,920 24,004,791,720 — keeps growing

Continued fraction of √n

√1,009,800 = [1004; (1, 7, 1, 13, 1, 7, 1, 2008)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million nine thousand eight hundred
Ordinal
1009800th
Binary
11110110100010001000
Octal
3664210
Hexadecimal
0xF6888
Base64
D2iI
One's complement
4,293,957,495 (32-bit)
Scientific notation
1.0098 × 10⁶
As a duration
1,009,800 s = 11 days, 16 hours, 30 minutes
In other bases
ternary (3) 1220022012000
quaternary (4) 3312202020
quinary (5) 224303200
senary (6) 33351000
septenary (7) 11404011
nonary (9) 1808160
undecimal (11) 62a750
duodecimal (12) 408460
tridecimal (13) 29481c
tetradecimal (14) 1c4008
pentadecimal (15) 14e300

As an angle

1,009,800° = 2,805 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百萬九千八百
Chinese (financial)
壹佰萬玖仟捌佰
In other modern scripts
Eastern Arabic ١٠٠٩٨٠٠ Devanagari १००९८०० Bengali ১০০৯৮০০ Tamil ௧௦௦௯௮௦௦ Thai ๑๐๐๙๘๐๐ Tibetan ༡༠༠༩༨༠༠ Khmer ១០០៩៨០០ Lao ໑໐໐໙໘໐໐ Burmese ၁၀၀၉၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009800, here are decompositions:

  • 13 + 1009787 = 1009800
  • 19 + 1009781 = 1009800
  • 53 + 1009747 = 1009800
  • 59 + 1009741 = 1009800
  • 73 + 1009727 = 1009800
  • 131 + 1009669 = 1009800
  • 149 + 1009651 = 1009800
  • 151 + 1009649 = 1009800

Showing the first eight; more decompositions exist.

Hex color
#0F6888
RGB(15, 104, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.104.136.

Address
0.15.104.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.104.136

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 1,009,800 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°.