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1,036,800

1,036,800 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.).

1,036,800 (one million thirty-six thousand eight hundred) is an even 7-digit number. It is a composite number with 150 divisors, and factors as 2⁹ × 3⁴ × 5². Its proper divisors sum to 2,800,473, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFD200.

Abundant Number Achilles Number Evil Number Frugal Number Gapful Number Harshad / Niven Powerful Number Practical Number Refactorable Number 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
86,301
Square (n²)
1,074,954,240,000
Cube (n³)
1,114,512,556,032,000,000
Divisor count
150
σ(n) — sum of divisors
3,837,273
φ(n) — Euler's totient
276,480
Sum of prime factors
40

Primality

Prime factorization: 2 9 × 3 4 × 5 2

Nearest primes: 1,036,799 (−1) · 1,036,829 (+29)

Divisors & multiples

All divisors (150)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 54 · 60 · 64 · 72 · 75 · 80 · 81 · 90 · 96 · 100 · 108 · 120 · 128 · 135 · 144 · 150 · 160 · 162 · 180 · 192 · 200 · 216 · 225 · 240 · 256 · 270 · 288 · 300 · 320 · 324 · 360 · 384 · 400 · 405 · 432 · 450 · 480 · 512 · 540 · 576 · 600 · 640 · 648 · 675 · 720 · 768 · 800 · 810 · 864 · 900 · 960 · 1080 · 1152 · 1200 · 1280 · 1296 · 1350 · 1440 · 1536 · 1600 · 1620 · 1728 · 1800 · 1920 · 2025 · 2160 · 2304 · 2400 · 2560 · 2592 · 2700 · 2880 · 3200 · 3240 · 3456 · 3600 · 3840 · 4050 · 4320 · 4608 · 4800 · 5184 · 5400 · 5760 · 6400 · 6480 · 6912 · 7200 · 7680 · 8100 · 8640 · 9600 · 10368 · 10800 · 11520 · 12800 · 12960 · 13824 · 14400 · 16200 · 17280 · 19200 · 20736 · 21600 · 23040 · 25920 · 28800 · 32400 · 34560 · 38400 · 41472 · 43200 · 51840 · 57600 · 64800 · 69120 · 86400 · 103680 · 115200 · 129600 · 172800 · 207360 · 259200 · 345600 · 518400 (half) · 1036800
Aliquot sum (sum of proper divisors): 2,800,473
Factor pairs (a × b = 1,036,800)
1 × 1036800
2 × 518400
3 × 345600
4 × 259200
5 × 207360
6 × 172800
8 × 129600
9 × 115200
10 × 103680
12 × 86400
15 × 69120
16 × 64800
18 × 57600
20 × 51840
24 × 43200
25 × 41472
27 × 38400
30 × 34560
32 × 32400
36 × 28800
40 × 25920
45 × 23040
48 × 21600
50 × 20736
54 × 19200
60 × 17280
64 × 16200
72 × 14400
75 × 13824
80 × 12960
81 × 12800
90 × 11520
96 × 10800
100 × 10368
108 × 9600
120 × 8640
128 × 8100
135 × 7680
144 × 7200
150 × 6912
160 × 6480
162 × 6400
180 × 5760
192 × 5400
200 × 5184
216 × 4800
225 × 4608
240 × 4320
256 × 4050
270 × 3840
288 × 3600
300 × 3456
320 × 3240
324 × 3200
360 × 2880
384 × 2700
400 × 2592
405 × 2560
432 × 2400
450 × 2304
480 × 2160
512 × 2025
540 × 1920
576 × 1800
600 × 1728
640 × 1620
648 × 1600
675 × 1536
720 × 1440
768 × 1350
800 × 1296
810 × 1280
864 × 1200
900 × 1152
960 × 1080
First multiples
1,036,800 · 2,073,600 (double) · 3,110,400 · 4,147,200 · 5,184,000 · 6,220,800 · 7,257,600 · 8,294,400 · 9,331,200 · 10,368,000

Sums & aliquot sequence

As a sum of two squares: 144² + 1,008² = 720² + 720²
As consecutive integers: 345,599 + 345,600 + 345,601 207,358 + 207,359 + 207,360 + 207,361 + 207,362 115,196 + 115,197 + … + 115,204 69,113 + 69,114 + … + 69,127
Aliquot sequence: 1,036,800 2,800,473 1,220,775 852,009 284,007 104,073 36,375 24,777 11,025 11,946 14,262 14,274 19,578 22,758 22,770 44,622 56,154 — unresolved within range

Continued fraction of √n

√1,036,800 = [1018; (4, 3, 1, 1, 2, 126, 1, 8, 17, 509, 17, 8, 1, 126, 2, 1, 1, 3, 4, 2036)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million thirty-six thousand eight hundred
Ordinal
1036800th
Binary
11111101001000000000
Octal
3751000
Hexadecimal
0xFD200
Base64
D9IA
One's complement
4,293,930,495 (32-bit)
Scientific notation
1.0368 × 10⁶
As a duration
1,036,800 s = 12 days
In other bases
ternary (3) 1221200020000
quaternary (4) 3331020000
quinary (5) 231134200
senary (6) 34120000
septenary (7) 11545512
nonary (9) 1850200
undecimal (11) 648a66
duodecimal (12) 420000
tridecimal (13) 2a3bbb
tetradecimal (14) 1cdbb2
pentadecimal (15) 157300

As an angle

1,036,800° = 2,880 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零三萬六千八百
Chinese (financial)
壹佰零參萬陸仟捌佰
In other modern scripts
Eastern Arabic ١٠٣٦٨٠٠ Devanagari १०३६८०० Bengali ১০৩৬৮০০ Tamil ௧௦௩௬௮௦௦ Thai ๑๐๓๖๘๐๐ Tibetan ༡༠༣༦༨༠༠ Khmer ១០៣៦៨០០ Lao ໑໐໓໖໘໐໐ Burmese ၁၀၃၆၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1036800, here are decompositions:

  • 7 + 1036793 = 1036800
  • 13 + 1036787 = 1036800
  • 31 + 1036769 = 1036800
  • 41 + 1036759 = 1036800
  • 43 + 1036757 = 1036800
  • 53 + 1036747 = 1036800
  • 71 + 1036729 = 1036800
  • 131 + 1036669 = 1036800

Showing the first eight; more decompositions exist.

Hex color
#0FD200
RGB(15, 210, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.210.0.

Address
0.15.210.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.210.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 3, 6800 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6800-03-01 (DMMYYYY (Euro, single-digit day))
  • 6800-10-03 (MMDYYYY (US, single-digit day))
  • 6800-03-10 (DDMYYYY (Euro, single-digit month))
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 1,036,800 and was likely granted around 1912.

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°.