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1,055,440

1,055,440 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.).

1,055,440 (one million fifty-five thousand four hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 79 × 167. Its proper divisors sum to 1,444,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101AD0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
445,501
Square (n²)
1,113,953,593,600
Cube (n³)
1,175,711,180,829,184,000
Divisor count
40
σ(n) — sum of divisors
2,499,840
φ(n) — Euler's totient
414,336
Sum of prime factors
259

Primality

Prime factorization: 2 4 × 5 × 79 × 167

Nearest primes: 1,055,437 (−3) · 1,055,471 (+31)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 79 · 80 · 158 · 167 · 316 · 334 · 395 · 632 · 668 · 790 · 835 · 1264 · 1336 · 1580 · 1670 · 2672 · 3160 · 3340 · 6320 · 6680 · 13193 · 13360 · 26386 · 52772 · 65965 · 105544 · 131930 · 211088 · 263860 · 527720 (half) · 1055440
Aliquot sum (sum of proper divisors): 1,444,400
Factor pairs (a × b = 1,055,440)
1 × 1055440
2 × 527720
4 × 263860
5 × 211088
8 × 131930
10 × 105544
16 × 65965
20 × 52772
40 × 26386
79 × 13360
80 × 13193
158 × 6680
167 × 6320
316 × 3340
334 × 3160
395 × 2672
632 × 1670
668 × 1580
790 × 1336
835 × 1264
First multiples
1,055,440 · 2,110,880 (double) · 3,166,320 · 4,221,760 · 5,277,200 · 6,332,640 · 7,388,080 · 8,443,520 · 9,498,960 · 10,554,400

Sums & aliquot sequence

As consecutive integers: 211,086 + 211,087 + 211,088 + 211,089 + 211,090 32,967 + 32,968 + … + 32,998 13,321 + 13,322 + … + 13,399 6,517 + 6,518 + … + 6,676
Aliquot sequence: 1,055,440 → 1,444,400 → 2,199,712 → 2,216,084 → 2,182,156 → 1,651,212 → 2,629,988 → 1,972,498 → 1,255,262 → 678,634 → 446,006 → 336,034 → 211,166 → 122,314 → 69,206 → 34,606 → 26,882 — unresolved within range

Continued fraction of √n

√1,055,440 = [1027; (2, 1, 8, 25, 3, 1, 51, 1, 13, 1, 2, 3, 1, 1, 5, 3, 2, 6, 3, 16, 1, 1, 1, 41, …)]

Representations

In words
one million fifty-five thousand four hundred forty
Ordinal
1055440th
Binary
100000001101011010000
Octal
4015320
Hexadecimal
0x101AD0
Base64
EBrQ
One's complement
4,293,911,855 (32-bit)
Scientific notation
1.05544 × 10⁶
As a duration
1,055,440 s = 12 days, 5 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 1222121210101
quaternary (4) 10001223100
quinary (5) 232233230
senary (6) 34342144
septenary (7) 11654041
nonary (9) 1877711
undecimal (11) 660a71
duodecimal (12) 42a954
tridecimal (13) 2ac529
tetradecimal (14) 1d68c8
pentadecimal (15) 15caca

As an angle

1,055,440° = 2,931 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬五千四百四十
Chinese (financial)
壹佰零伍萬伍仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٥٤٤٠ Devanagari १०५५४४० Bengali ১০৫৫৪৪০ Tamil ௧௦௫௫௪௪௦ Thai ๑๐๕๕๔๔๐ Tibetan ༡༠༥༥༤༤༠ Khmer ១០៥៥៤៤០ Lao ໑໐໕໕໔໔໐ Burmese ၁၀၅၅၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055440, here are decompositions:

  • 3 + 1055437 = 1055440
  • 11 + 1055429 = 1055440
  • 17 + 1055423 = 1055440
  • 41 + 1055399 = 1055440
  • 53 + 1055387 = 1055440
  • 137 + 1055303 = 1055440
  • 173 + 1055267 = 1055440
  • 179 + 1055261 = 1055440

Showing the first eight; more decompositions exist.

Hex color
#101AD0
RGB(16, 26, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.208.

Address
0.16.26.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 5440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5440-05-01 (DMMYYYY (Euro, single-digit day))
  • 5440-10-05 (MMDYYYY (US, single-digit day))
  • 5440-05-10 (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 1,055,440 and was likely granted around 1912.

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

Position in π

The digit sequence 1055440 first appears in π at position 632,864 of the decimal expansion (the 632,864ordinal-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°.