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1,055,400

1,055,400 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.).

1,055,400 (one million fifty-five thousand four hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 1,759. Its proper divisors sum to 2,218,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101AA8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
45,501
Square (n²)
1,113,869,160,000
Cube (n³)
1,175,577,511,464,000,000
Divisor count
48
σ(n) — sum of divisors
3,273,600
φ(n) — Euler's totient
281,280
Sum of prime factors
1,778

Primality

Prime factorization: 2 3 × 3 × 5 2 × 1759

Nearest primes: 1,055,399 (−1) · 1,055,407 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 150 · 200 · 300 · 600 · 1759 · 3518 · 5277 · 7036 · 8795 · 10554 · 14072 · 17590 · 21108 · 26385 · 35180 · 42216 · 43975 · 52770 · 70360 · 87950 · 105540 · 131925 · 175900 · 211080 · 263850 · 351800 · 527700 (half) · 1055400
Aliquot sum (sum of proper divisors): 2,218,200
Factor pairs (a × b = 1,055,400)
1 × 1055400
2 × 527700
3 × 351800
4 × 263850
5 × 211080
6 × 175900
8 × 131925
10 × 105540
12 × 87950
15 × 70360
20 × 52770
24 × 43975
25 × 42216
30 × 35180
40 × 26385
50 × 21108
60 × 17590
75 × 14072
100 × 10554
120 × 8795
150 × 7036
200 × 5277
300 × 3518
600 × 1759
First multiples
1,055,400 · 2,110,800 (double) · 3,166,200 · 4,221,600 · 5,277,000 · 6,332,400 · 7,387,800 · 8,443,200 · 9,498,600 · 10,554,000

Sums & aliquot sequence

As consecutive integers: 351,799 + 351,800 + 351,801 211,078 + 211,079 + 211,080 + 211,081 + 211,082 70,353 + 70,354 + … + 70,367 65,955 + 65,956 + … + 65,970
Aliquot sequence: 1,055,400 → 2,218,200 → 4,660,080 → 9,786,912 → 16,193,280 → 35,536,272 → 56,553,072 → 89,542,488 → 175,129,512 → 290,160,408 → 447,136,152 → 710,631,888 → 1,128,908,112 → 1,792,616,208 → 2,997,999,792 → 5,406,484,608 → 12,373,796,352 — keeps growing

Continued fraction of √n

√1,055,400 = [1027; (3, 16, 4, 4, 2, 1, 1, 1, 1, 1, 4, 1, 6, 8, 2, 1, 1, 1, 3, 3, 85, 3, 3, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand four hundred
Ordinal
1055400th
Binary
100000001101010101000
Octal
4015250
Hexadecimal
0x101AA8
Base64
EBqo
One's complement
4,293,911,895 (32-bit)
Scientific notation
1.0554 × 10⁶
As a duration
1,055,400 s = 12 days, 5 hours, 10 minutes
In other bases
ternary (3) 1222121201220
quaternary (4) 10001222220
quinary (5) 232233100
senary (6) 34342040
septenary (7) 11653653
nonary (9) 1877656
undecimal (11) 660a35
duodecimal (12) 42a920
tridecimal (13) 2ac4c8
tetradecimal (14) 1d689a
pentadecimal (15) 15caa0

As an angle

1,055,400° = 2,931 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese
一百零五萬五千四百
Chinese (financial)
壹佰零伍萬伍仟肆佰
In other modern scripts
Eastern Arabic ١٠٥٥٤٠٠ Devanagari १०५५४०० Bengali ১০৫৫৪০০ Tamil ௧௦௫௫௪௦௦ Thai ๑๐๕๕๔๐๐ Tibetan ༡༠༥༥༤༠༠ Khmer ១០៥៥៤០០ Lao ໑໐໕໕໔໐໐ Burmese ၁၀၅၅၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055400, here are decompositions:

  • 13 + 1055387 = 1055400
  • 29 + 1055371 = 1055400
  • 37 + 1055363 = 1055400
  • 41 + 1055359 = 1055400
  • 53 + 1055347 = 1055400
  • 79 + 1055321 = 1055400
  • 97 + 1055303 = 1055400
  • 131 + 1055269 = 1055400

Showing the first eight; more decompositions exist.

Hex color
#101AA8
RGB(16, 26, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.168.

Address
0.16.26.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 5400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5400-05-01 (DMMYYYY (Euro, single-digit day))
  • 5400-10-05 (MMDYYYY (US, single-digit day))
  • 5400-05-10 (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 1,055,400 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°.