number.wiki
Live analysis

1,049,400

1,049,400 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.).

1,049,400 (one million forty-nine thousand four hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2³ × 3² × 5² × 11 × 53. Its proper divisors sum to 2,867,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100338.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
49,401
Square (n²)
1,101,240,360,000
Cube (n³)
1,155,641,633,784,000,000
Divisor count
144
σ(n) — sum of divisors
3,917,160
φ(n) — Euler's totient
249,600
Sum of prime factors
86

Primality

Prime factorization: 2 3 × 3 2 × 5 2 × 11 × 53

Nearest primes: 1,049,387 (−13) · 1,049,413 (+13)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 24 · 25 · 30 · 33 · 36 · 40 · 44 · 45 · 50 · 53 · 55 · 60 · 66 · 72 · 75 · 88 · 90 · 99 · 100 · 106 · 110 · 120 · 132 · 150 · 159 · 165 · 180 · 198 · 200 · 212 · 220 · 225 · 264 · 265 · 275 · 300 · 318 · 330 · 360 · 396 · 424 · 440 · 450 · 477 · 495 · 530 · 550 · 583 · 600 · 636 · 660 · 792 · 795 · 825 · 900 · 954 · 990 · 1060 · 1100 · 1166 · 1272 · 1320 · 1325 · 1590 · 1650 · 1749 · 1800 · 1908 · 1980 · 2120 · 2200 · 2332 · 2385 · 2475 · 2650 · 2915 · 3180 · 3300 · 3498 · 3816 · 3960 · 3975 · 4664 · 4770 · 4950 · 5247 · 5300 · 5830 · 6360 · 6600 · 6996 · 7950 · 8745 · 9540 · 9900 · 10494 · 10600 · 11660 · 11925 · 13992 · 14575 · 15900 · 17490 · 19080 · 19800 · 20988 · 23320 · 23850 · 26235 · 29150 · 31800 · 34980 · 41976 · 43725 · 47700 · 52470 · 58300 · 69960 · 87450 · 95400 · 104940 · 116600 · 131175 · 174900 · 209880 · 262350 · 349800 · 524700 (half) · 1049400
Aliquot sum (sum of proper divisors): 2,867,760
Factor pairs (a × b = 1,049,400)
1 × 1049400
2 × 524700
3 × 349800
4 × 262350
5 × 209880
6 × 174900
8 × 131175
9 × 116600
10 × 104940
11 × 95400
12 × 87450
15 × 69960
18 × 58300
20 × 52470
22 × 47700
24 × 43725
25 × 41976
30 × 34980
33 × 31800
36 × 29150
40 × 26235
44 × 23850
45 × 23320
50 × 20988
53 × 19800
55 × 19080
60 × 17490
66 × 15900
72 × 14575
75 × 13992
88 × 11925
90 × 11660
99 × 10600
100 × 10494
106 × 9900
110 × 9540
120 × 8745
132 × 7950
150 × 6996
159 × 6600
165 × 6360
180 × 5830
198 × 5300
200 × 5247
212 × 4950
220 × 4770
225 × 4664
264 × 3975
265 × 3960
275 × 3816
300 × 3498
318 × 3300
330 × 3180
360 × 2915
396 × 2650
424 × 2475
440 × 2385
450 × 2332
477 × 2200
495 × 2120
530 × 1980
550 × 1908
583 × 1800
600 × 1749
636 × 1650
660 × 1590
792 × 1325
795 × 1320
825 × 1272
900 × 1166
954 × 1100
990 × 1060
First multiples
1,049,400 · 2,098,800 (double) · 3,148,200 · 4,197,600 · 5,247,000 · 6,296,400 · 7,345,800 · 8,395,200 · 9,444,600 · 10,494,000

Sums & aliquot sequence

As consecutive integers: 349,799 + 349,800 + 349,801 209,878 + 209,879 + 209,880 + 209,881 + 209,882 116,596 + 116,597 + … + 116,604 95,395 + 95,396 + … + 95,405
Aliquot sequence: 1,049,400 2,867,760 8,158,320 20,199,240 48,488,760 132,951,240 312,872,760 791,448,840 2,455,923,960 6,686,924,040 15,124,361,040 — keeps growing

Continued fraction of √n

√1,049,400 = [1024; (2, 2, 17, 3, 1, 4, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 226, 1, 4, 1, 1, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million forty-nine thousand four hundred
Ordinal
1049400th
Binary
100000000001100111000
Octal
4001470
Hexadecimal
0x100338
Base64
EAM4
One's complement
4,293,917,895 (32-bit)
Scientific notation
1.0494 × 10⁶
As a duration
1,049,400 s = 12 days, 3 hours, 30 minutes
In other bases
ternary (3) 1222022111200
quaternary (4) 10000030320
quinary (5) 232040100
senary (6) 34254200
septenary (7) 11630322
nonary (9) 1868450
undecimal (11) 657480
duodecimal (12) 427360
tridecimal (13) 2a9861
tetradecimal (14) 1d4612
pentadecimal (15) 15ae00

As an angle

1,049,400° = 2,915 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese
一百零四萬九千四百
Chinese (financial)
壹佰零肆萬玖仟肆佰
In other modern scripts
Eastern Arabic ١٠٤٩٤٠٠ Devanagari १०४९४०० Bengali ১০৪৯৪০০ Tamil ௧௦௪௯௪௦௦ Thai ๑๐๔๙๔๐๐ Tibetan ༡༠༤༩༤༠༠ Khmer ១០៤៩៤០០ Lao ໑໐໔໙໔໐໐ Burmese ၁၀၄၉၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049400, here are decompositions:

  • 13 + 1049387 = 1049400
  • 61 + 1049339 = 1049400
  • 67 + 1049333 = 1049400
  • 103 + 1049297 = 1049400
  • 137 + 1049263 = 1049400
  • 173 + 1049227 = 1049400
  • 181 + 1049219 = 1049400
  • 199 + 1049201 = 1049400

Showing the first eight; more decompositions exist.

Hex color
#100338
RGB(16, 3, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.3.56.

Address
0.16.3.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.3.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 9400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9400-04-01 (DMMYYYY (Euro, single-digit day))
  • 9400-10-04 (MMDYYYY (US, single-digit day))
  • 9400-04-10 (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 1,049,400 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°.