Live analysis

1,055,040

1,055,040 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.).

1,055,040 (one million fifty-five thousand forty) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 7 × 157. Its proper divisors sum to 2,797,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101940.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,055,028 1,055,029 1,055,030 1,055,031 1,055,032 1,055,033 1,055,034 1,055,035 1,055,036 1,055,037 1,055,038 1,055,039 1,055,040 1,055,041 1,055,042 1,055,043 1,055,044 1,055,045 1,055,046 1,055,047 1,055,048 1,055,049 1,055,050 1,055,051 1,055,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 21 bits
Reversed: 405,501
Square (n²): 1,113,109,401,600
Cube (n³): 1,174,374,943,064,064,000
Divisor count: 112
σ(n) — sum of divisors: 3,852,672
φ(n) — Euler's totient: 239,616
Sum of prime factors: 184

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 7 × 157

Nearest primes: 1,055,039 (−1) · 1,055,057 (+17)

Divisors & multiples

All divisors (112)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 140 · 157 · 160 · 168 · 192 · 210 · 224 · 240 · 280 · 314 · 320 · 336 · 420 · 448 · 471 · 480 · 560 · 628 · 672 · 785 · 840 · 942 · 960 · 1099 · 1120 · 1256 · 1344 · 1570 · 1680 · 1884 · 2198 · 2240 · 2355 · 2512 · 3140 · 3297 · 3360 · 3768 · 4396 · 4710 · 5024 · 5495 · 6280 · 6594 · 6720 · 7536 · 8792 · 9420 · 10048 · 10990 · 12560 · 13188 · 15072 · 16485 · 17584 · 18840 · 21980 · 25120 · 26376 · 30144 · 32970 · 35168 · 37680 · 43960 · 50240 · 52752 · 65940 · 70336 · 75360 · 87920 · 105504 · 131880 · 150720 · 175840 · 211008 · 263760 · 351680 · 527520 (half) · 1055040

Aliquot sum (sum of proper divisors): 2,797,632

Factor pairs (a × b = 1,055,040)

1 × 1055040

2 × 527520

3 × 351680

4 × 263760

5 × 211008

6 × 175840

7 × 150720

8 × 131880

10 × 105504

12 × 87920

14 × 75360

15 × 70336

16 × 65940

20 × 52752

21 × 50240

24 × 43960

28 × 37680

30 × 35168

32 × 32970

35 × 30144

40 × 26376

42 × 25120

48 × 21980

56 × 18840

60 × 17584

64 × 16485

70 × 15072

80 × 13188

84 × 12560

96 × 10990

105 × 10048

112 × 9420

120 × 8792

140 × 7536

157 × 6720

160 × 6594

168 × 6280

192 × 5495

210 × 5024

224 × 4710

240 × 4396

280 × 3768

314 × 3360

320 × 3297

336 × 3140

420 × 2512

448 × 2355

471 × 2240

480 × 2198

560 × 1884

628 × 1680

672 × 1570

785 × 1344

840 × 1256

942 × 1120

960 × 1099

First multiples

1,055,040 · 2,110,080 (double) · 3,165,120 · 4,220,160 · 5,275,200 · 6,330,240 · 7,385,280 · 8,440,320 · 9,495,360 · 10,550,400

Sums & aliquot sequence

As consecutive integers: 351,679 + 351,680 + 351,681 211,006 + 211,007 + 211,008 + 211,009 + 211,010 150,717 + 150,718 + … + 150,723 70,329 + 70,330 + … + 70,343

Aliquot sequence: 1,055,040 → 2,797,632 → 5,431,968 → 10,413,792 → 21,791,808 → 42,277,152 → 69,308,448 → 129,168,768 → 215,509,632 → 428,118,528 → 719,932,992 → 1,196,381,184 → 1,992,419,040 → 5,140,350,240 → 11,094,610,656 — keeps growing

Continued fraction of √n

√1,055,040 = [1027; (6, 1, 1, 1, 1, 7, 2, 2, 1, 1, 3, 11, 1, 7, 9, 2, 3, 513, 3, 2, 9, 7, 1, 11, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million fifty-five thousand forty
Ordinal: 1055040th
Binary: 100000001100101000000
Octal: 4014500
Hexadecimal: 0x101940
Base64: EBlA
One's complement: 4,293,912,255 (32-bit)
Scientific notation: 1.05504 × 10⁶
As a duration: 1,055,040 s = 12 days, 5 hours, 4 minutes

In other bases

ternary (3) 1222121020120

quaternary (4) 10001211000

quinary (5) 232230130

senary (6) 34340240

septenary (7) 11652630

nonary (9) 1877216

undecimal (11) 660738

duodecimal (12) 42a680

tridecimal (13) 2ac2ac

tetradecimal (14) 1d66c0

pentadecimal (15) 15c910

As an angle

1,055,040° = 2,930 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零五萬五千零四十
Chinese (financial): 壹佰零伍萬伍仟零肆拾

In other modern scripts

Eastern Arabic ١٠٥٥٠٤٠ Devanagari १०५५०४० Bengali ১০৫৫০৪০ Tamil ௧௦௫௫௦௪௦ Thai ๑๐๕๕๐๔๐ Tibetan ༡༠༥༥༠༤༠ Khmer ១០៥៥០៤០ Lao ໑໐໕໕໐໔໐ Burmese ၁၀၅၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055040, here are decompositions:

23 + 1055017 = 1055040
47 + 1054993 = 1055040
83 + 1054957 = 1055040
89 + 1054951 = 1055040
109 + 1054931 = 1055040
113 + 1054927 = 1055040
131 + 1054909 = 1055040
137 + 1054903 = 1055040

Showing the first eight; more decompositions exist.

Hex color

#101940

RGB(16, 25, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.64.

Address: 0.16.25.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.25.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 5040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5040-05-01 (DMMYYYY (Euro, single-digit day))
5040-10-05 (MMDYYYY (US, single-digit day))
5040-05-10 (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 1,055,040 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 US1,055,040 on Google Patents ↗ Look up on USPTO ↗