Live analysis

1,055,120

1,055,120 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.).

1,055,120 (one million fifty-five thousand one hundred twenty) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 11² × 109. Its proper divisors sum to 1,666,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101990.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,055,108 1,055,109 1,055,110 1,055,111 1,055,112 1,055,113 1,055,114 1,055,115 1,055,116 1,055,117 1,055,118 1,055,119 1,055,120 1,055,121 1,055,122 1,055,123 1,055,124 1,055,125 1,055,126 1,055,127 1,055,128 1,055,129 1,055,130 1,055,131 1,055,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 215,501
Square (n²): 1,113,278,214,400
Cube (n³): 1,174,642,109,577,728,000
Divisor count: 60
σ(n) — sum of divisors: 2,721,180
φ(n) — Euler's totient: 380,160
Sum of prime factors: 144

Primality

Prime factorization: 2 ⁴ × 5 × 11 ² × 109

Nearest primes: 1,055,113 (−7) · 1,055,137 (+17)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 109 · 110 · 121 · 176 · 218 · 220 · 242 · 436 · 440 · 484 · 545 · 605 · 872 · 880 · 968 · 1090 · 1199 · 1210 · 1744 · 1936 · 2180 · 2398 · 2420 · 4360 · 4796 · 4840 · 5995 · 8720 · 9592 · 9680 · 11990 · 13189 · 19184 · 23980 · 26378 · 47960 · 52756 · 65945 · 95920 · 105512 · 131890 · 211024 · 263780 · 527560 (half) · 1055120

Aliquot sum (sum of proper divisors): 1,666,060

Factor pairs (a × b = 1,055,120)

1 × 1055120

2 × 527560

4 × 263780

5 × 211024

8 × 131890

10 × 105512

11 × 95920

16 × 65945

20 × 52756

22 × 47960

40 × 26378

44 × 23980

55 × 19184

80 × 13189

88 × 11990

109 × 9680

110 × 9592

121 × 8720

176 × 5995

218 × 4840

220 × 4796

242 × 4360

436 × 2420

440 × 2398

484 × 2180

545 × 1936

605 × 1744

872 × 1210

880 × 1199

968 × 1090

First multiples

1,055,120 · 2,110,240 (double) · 3,165,360 · 4,220,480 · 5,275,600 · 6,330,720 · 7,385,840 · 8,440,960 · 9,496,080 · 10,551,200

Sums & aliquot sequence

As a sum of two squares: 176² + 1,012² = 704² + 748²

As consecutive integers: 211,022 + 211,023 + 211,024 + 211,025 + 211,026 95,915 + 95,916 + … + 95,925 32,957 + 32,958 + … + 32,988 19,157 + 19,158 + … + 19,211

Aliquot sequence: 1,055,120 → 1,666,060 → 2,151,236 → 1,847,164 → 1,679,324 → 1,259,500 → 1,754,420 → 1,929,904 → 1,809,316 → 1,356,994 → 797,246 → 406,714 → 399,686 → 285,514 → 142,760 → 189,880 → 250,760 — unresolved within range

Continued fraction of √n

√1,055,120 = [1027; (5, 3, 1, 16, 4, 1, 1, 1, 1, 1, 2, 1, 1, 16, 2, 1, 1, 22, 2, 16, 2, 22, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million fifty-five thousand one hundred twenty
Ordinal: 1055120th
Binary: 100000001100110010000
Octal: 4014620
Hexadecimal: 0x101990
Base64: EBmQ
One's complement: 4,293,912,175 (32-bit)
Scientific notation: 1.05512 × 10⁶
As a duration: 1,055,120 s = 12 days, 5 hours, 5 minutes, 20 seconds

In other bases

ternary (3) 1222121100112

quaternary (4) 10001212100

quinary (5) 232230440

senary (6) 34340452

septenary (7) 11653103

nonary (9) 1877315

undecimal (11) 660800

duodecimal (12) 42a728

tridecimal (13) 2ac341

tetradecimal (14) 1d673a

pentadecimal (15) 15c965

As an angle

1,055,120° = 2,930 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百零五萬五千一百二十
Chinese (financial): 壹佰零伍萬伍仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٥٥١٢٠ Devanagari १०५५१२० Bengali ১০৫৫১২০ Tamil ௧௦௫௫௧௨௦ Thai ๑๐๕๕๑๒๐ Tibetan ༡༠༥༥༡༢༠ Khmer ១០៥៥១២០ Lao ໑໐໕໕໑໒໐ Burmese ၁၀၅၅၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055120, here are decompositions:

7 + 1055113 = 1055120
37 + 1055083 = 1055120
43 + 1055077 = 1055120
103 + 1055017 = 1055120
127 + 1054993 = 1055120
163 + 1054957 = 1055120
193 + 1054927 = 1055120
211 + 1054909 = 1055120

Showing the first eight; more decompositions exist.

Hex color

#101990

RGB(16, 25, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.144.

Address: 0.16.25.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.25.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 5120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5120-05-01 (DMMYYYY (Euro, single-digit day))
5120-10-05 (MMDYYYY (US, single-digit day))
5120-05-10 (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 1,055,120 and was likely granted around 1912.

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

Look up US1,055,120 on Google Patents ↗ Look up on USPTO ↗