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940,800

940,800 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.).

940,800 (nine hundred forty thousand eight hundred) is an even 6-digit number. It is a composite number with 162 divisors, and factors as 2⁸ × 3 × 5² × 7². Its proper divisors sum to 2,670,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE5B00.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
8,049
Square (n²)
885,104,640,000
Cube (n³)
832,706,445,312,000,000
Divisor count
162
σ(n) — sum of divisors
3,611,748
φ(n) — Euler's totient
215,040
Sum of prime factors
43

Primality

Prime factorization: 2 8 × 3 × 5 2 × 7 2

Nearest primes: 940,787 (−13) · 940,801 (+1)

Divisors & multiples

All divisors (162)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 49 · 50 · 56 · 60 · 64 · 70 · 75 · 80 · 84 · 96 · 98 · 100 · 105 · 112 · 120 · 128 · 140 · 147 · 150 · 160 · 168 · 175 · 192 · 196 · 200 · 210 · 224 · 240 · 245 · 256 · 280 · 294 · 300 · 320 · 336 · 350 · 384 · 392 · 400 · 420 · 448 · 480 · 490 · 525 · 560 · 588 · 600 · 640 · 672 · 700 · 735 · 768 · 784 · 800 · 840 · 896 · 960 · 980 · 1050 · 1120 · 1176 · 1200 · 1225 · 1280 · 1344 · 1400 · 1470 · 1568 · 1600 · 1680 · 1792 · 1920 · 1960 · 2100 · 2240 · 2352 · 2400 · 2450 · 2688 · 2800 · 2940 · 3136 · 3200 · 3360 · 3675 · 3840 · 3920 · 4200 · 4480 · 4704 · 4800 · 4900 · 5376 · 5600 · 5880 · 6272 · 6400 · 6720 · 7350 · 7840 · 8400 · 8960 · 9408 · 9600 · 9800 · 11200 · 11760 · 12544 · 13440 · 14700 · 15680 · 16800 · 18816 · 19200 · 19600 · 22400 · 23520 · 26880 · 29400 · 31360 · 33600 · 37632 · 39200 · 44800 · 47040 · 58800 · 62720 · 67200 · 78400 · 94080 · 117600 · 134400 · 156800 · 188160 · 235200 · 313600 · 470400 (half) · 940800
Aliquot sum (sum of proper divisors): 2,670,948
Factor pairs (a × b = 940,800)
1 × 940800
2 × 470400
3 × 313600
4 × 235200
5 × 188160
6 × 156800
7 × 134400
8 × 117600
10 × 94080
12 × 78400
14 × 67200
15 × 62720
16 × 58800
20 × 47040
21 × 44800
24 × 39200
25 × 37632
28 × 33600
30 × 31360
32 × 29400
35 × 26880
40 × 23520
42 × 22400
48 × 19600
49 × 19200
50 × 18816
56 × 16800
60 × 15680
64 × 14700
70 × 13440
75 × 12544
80 × 11760
84 × 11200
96 × 9800
98 × 9600
100 × 9408
105 × 8960
112 × 8400
120 × 7840
128 × 7350
140 × 6720
147 × 6400
150 × 6272
160 × 5880
168 × 5600
175 × 5376
192 × 4900
196 × 4800
200 × 4704
210 × 4480
224 × 4200
240 × 3920
245 × 3840
256 × 3675
280 × 3360
294 × 3200
300 × 3136
320 × 2940
336 × 2800
350 × 2688
384 × 2450
392 × 2400
400 × 2352
420 × 2240
448 × 2100
480 × 1960
490 × 1920
525 × 1792
560 × 1680
588 × 1600
600 × 1568
640 × 1470
672 × 1400
700 × 1344
735 × 1280
768 × 1225
784 × 1200
800 × 1176
840 × 1120
896 × 1050
960 × 980
First multiples
940,800 · 1,881,600 (double) · 2,822,400 · 3,763,200 · 4,704,000 · 5,644,800 · 6,585,600 · 7,526,400 · 8,467,200 · 9,408,000

Sums & aliquot sequence

As consecutive integers: 313,599 + 313,600 + 313,601 188,158 + 188,159 + 188,160 + 188,161 + 188,162 134,397 + 134,398 + … + 134,403 62,713 + 62,714 + … + 62,727
Aliquot sequence: 940,800 2,670,948 5,245,212 9,092,580 20,005,020 49,350,084 82,740,924 157,280,676 262,134,684 514,562,916 882,109,452 1,542,925,300 2,332,104,460 3,559,534,580 4,986,845,836 5,233,140,164 5,374,567,996 — unresolved within range

Continued fraction of √n

√940,800 = [969; (1, 18, 2, 1, 1, 76, 1, 483, 1, 76, 1, 1, 2, 18, 1, 1938)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
nine hundred forty thousand eight hundred
Ordinal
940800th
Binary
11100101101100000000
Octal
3455400
Hexadecimal
0xE5B00
Base64
DlsA
One's complement
4,294,026,495 (32-bit)
Scientific notation
9.408 × 10⁵
As a duration
940,800 s = 10 days, 21 hours, 20 minutes
In other bases
ternary (3) 1202210112110
quaternary (4) 3211230000
quinary (5) 220101200
senary (6) 32055320
septenary (7) 10665600
nonary (9) 1683473
undecimal (11) 592923
duodecimal (12) 394540
tridecimal (13) 26c2b3
tetradecimal (14) 1a6c00
pentadecimal (15) 138b50

As an angle

940,800° = 2,613 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϡμωʹ
Chinese
九十四萬零八百
Chinese (financial)
玖拾肆萬零捌佰
In other modern scripts
Eastern Arabic ٩٤٠٨٠٠ Devanagari ९४०८०० Bengali ৯৪০৮০০ Tamil ௯௪௦௮௦௦ Thai ๙๔๐๘๐๐ Tibetan ༩༤༠༨༠༠ Khmer ៩៤០៨០០ Lao ໙໔໐໘໐໐ Burmese ၉၄၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 940800, here are decompositions:

  • 13 + 940787 = 940800
  • 17 + 940783 = 940800
  • 19 + 940781 = 940800
  • 41 + 940759 = 940800
  • 61 + 940739 = 940800
  • 67 + 940733 = 940800
  • 73 + 940727 = 940800
  • 79 + 940721 = 940800

Showing the first eight; more decompositions exist.

Hex color
#0E5B00
RGB(14, 91, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.91.0.

Address
0.14.91.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.91.0

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 940,800 and was likely granted around 1909.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 940800 first appears in π at position 81,720 of the decimal expansion (the 81,720ordinal-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°.