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1,055,160

1,055,160 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.).

1,055,160 (one million fifty-five thousand one hundred sixty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 977. Its proper divisors sum to 2,465,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1019B8.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
615,501
Square (n²)
1,113,362,625,600
Cube (n³)
1,174,775,708,028,096,000
Divisor count
64
σ(n) — sum of divisors
3,520,800
φ(n) — Euler's totient
281,088
Sum of prime factors
997

Primality

Prime factorization: 2 3 × 3 3 × 5 × 977

Nearest primes: 1,055,143 (−17) · 1,055,167 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 90 · 108 · 120 · 135 · 180 · 216 · 270 · 360 · 540 · 977 · 1080 · 1954 · 2931 · 3908 · 4885 · 5862 · 7816 · 8793 · 9770 · 11724 · 14655 · 17586 · 19540 · 23448 · 26379 · 29310 · 35172 · 39080 · 43965 · 52758 · 58620 · 70344 · 87930 · 105516 · 117240 · 131895 · 175860 · 211032 · 263790 · 351720 · 527580 (half) · 1055160
Aliquot sum (sum of proper divisors): 2,465,640
Factor pairs (a × b = 1,055,160)
1 × 1055160
2 × 527580
3 × 351720
4 × 263790
5 × 211032
6 × 175860
8 × 131895
9 × 117240
10 × 105516
12 × 87930
15 × 70344
18 × 58620
20 × 52758
24 × 43965
27 × 39080
30 × 35172
36 × 29310
40 × 26379
45 × 23448
54 × 19540
60 × 17586
72 × 14655
90 × 11724
108 × 9770
120 × 8793
135 × 7816
180 × 5862
216 × 4885
270 × 3908
360 × 2931
540 × 1954
977 × 1080
First multiples
1,055,160 · 2,110,320 (double) · 3,165,480 · 4,220,640 · 5,275,800 · 6,330,960 · 7,386,120 · 8,441,280 · 9,496,440 · 10,551,600

Sums & aliquot sequence

As consecutive integers: 351,719 + 351,720 + 351,721 211,030 + 211,031 + 211,032 + 211,033 + 211,034 117,236 + 117,237 + … + 117,244 70,337 + 70,338 + … + 70,351
Aliquot sequence: 1,055,160 → 2,465,640 → 5,832,540 → 14,918,820 → 32,822,748 → 68,012,532 → 128,468,844 → 242,664,100 → 369,116,188 → 376,021,604 → 376,021,660 → 558,474,980 → 852,415,900 → 1,273,698,020 → 1,791,498,268 → 1,791,498,324 → 3,420,135,852 — unresolved within range

Continued fraction of √n

√1,055,160 = [1027; (4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 3, 1, 14, 3, 6, 1, 3, 1, 1, 1, 1, 14, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand one hundred sixty
Ordinal
1055160th
Binary
100000001100110111000
Octal
4014670
Hexadecimal
0x1019B8
Base64
EBm4
One's complement
4,293,912,135 (32-bit)
Scientific notation
1.05516 × 10⁶
As a duration
1,055,160 s = 12 days, 5 hours, 6 minutes
In other bases
ternary (3) 1222121102000
quaternary (4) 10001212320
quinary (5) 232231120
senary (6) 34341000
septenary (7) 11653161
nonary (9) 1877360
undecimal (11) 660837
duodecimal (12) 42a760
tridecimal (13) 2ac372
tetradecimal (14) 1d6768
pentadecimal (15) 15c990

As an angle

1,055,160° = 2,931 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬五千一百六十
Chinese (financial)
壹佰零伍萬伍仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٠٥٥١٦٠ Devanagari १०५५१६० Bengali ১০৫৫১৬০ Tamil ௧௦௫௫௧௬௦ Thai ๑๐๕๕๑๖๐ Tibetan ༡༠༥༥༡༦༠ Khmer ១០៥៥១៦០ Lao ໑໐໕໕໑໖໐ Burmese ၁၀၅၅၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055160, here are decompositions:

  • 17 + 1055143 = 1055160
  • 19 + 1055141 = 1055160
  • 23 + 1055137 = 1055160
  • 47 + 1055113 = 1055160
  • 83 + 1055077 = 1055160
  • 97 + 1055063 = 1055160
  • 103 + 1055057 = 1055160
  • 167 + 1054993 = 1055160

Showing the first eight; more decompositions exist.

Hex color
#1019B8
RGB(16, 25, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.184.

Address
0.16.25.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.25.184

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 5160 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5160-05-01 (DMMYYYY (Euro, single-digit day))
  • 5160-10-05 (MMDYYYY (US, single-digit day))
  • 5160-05-10 (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 1,055,160 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°.