Live analysis

1,051,040

1,051,040 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.).

1,051,040 (one million fifty-one thousand forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,569. Its proper divisors sum to 1,432,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1009A0.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 21 bits
Reversed: 401,501
Square (n²): 1,104,685,081,600
Cube (n³): 1,161,068,208,164,864,000
Divisor count: 24
σ(n) — sum of divisors: 2,483,460
φ(n) — Euler's totient: 420,352
Sum of prime factors: 6,584

Primality

Prime factorization: 2 ⁵ × 5 × 6569

Nearest primes: 1,051,027 (−13) · 1,051,051 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6569 · 13138 · 26276 · 32845 · 52552 · 65690 · 105104 · 131380 · 210208 · 262760 · 525520 (half) · 1051040

Aliquot sum (sum of proper divisors): 1,432,420

Factor pairs (a × b = 1,051,040)

1 × 1051040

2 × 525520

4 × 262760

5 × 210208

8 × 131380

10 × 105104

16 × 65690

20 × 52552

32 × 32845

40 × 26276

80 × 13138

160 × 6569

First multiples

1,051,040 · 2,102,080 (double) · 3,153,120 · 4,204,160 · 5,255,200 · 6,306,240 · 7,357,280 · 8,408,320 · 9,459,360 · 10,510,400

Sums & aliquot sequence

As a sum of two squares: 164² + 1,012² = 476² + 908²

As consecutive integers: 210,206 + 210,207 + 210,208 + 210,209 + 210,210 16,391 + 16,392 + … + 16,454 3,125 + 3,126 + … + 3,444

Aliquot sequence: 1,051,040 → 1,432,420 → 2,051,228 → 1,662,412 → 1,246,816 → 1,263,104 → 1,261,660 → 1,409,540 → 1,916,860 → 2,474,996 → 2,128,162 → 1,318,550 → 1,134,046 → 571,634 → 481,726 → 388,034 → 194,020 — unresolved within range

Continued fraction of √n

√1,051,040 = [1025; (4, 1, 15, 1, 2, 1, 3, 1, 1, 3, 1, 1, 2, 1, 4, 1, 127, 3, 13, 4, 16, 1, 65, 4, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million fifty-one thousand forty
Ordinal: 1051040th
Binary: 100000000100110100000
Octal: 4004640
Hexadecimal: 0x1009A0
Base64: EAmg
One's complement: 4,293,916,255 (32-bit)
Scientific notation: 1.05104 × 10⁶
As a duration: 1,051,040 s = 12 days, 3 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 1222101202102

quaternary (4) 10000212200

quinary (5) 232113130

senary (6) 34305532

septenary (7) 11635154

nonary (9) 1871672

undecimal (11) 658731

duodecimal (12) 4282a8

tridecimal (13) 2aa523

tetradecimal (14) 1d5064

pentadecimal (15) 15b645

As an angle

1,051,040° = 2,919 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零五萬一千零四十
Chinese (financial): 壹佰零伍萬壹仟零肆拾

In other modern scripts

Eastern Arabic ١٠٥١٠٤٠ Devanagari १०५१०४० Bengali ১০৫১০৪০ Tamil ௧௦௫௧௦௪௦ Thai ๑๐๕๑๐๔๐ Tibetan ༡༠༥༡༠༤༠ Khmer ១០៥១០៤០ Lao ໑໐໕໑໐໔໐ Burmese ၁၀၅၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051040, here are decompositions:

13 + 1051027 = 1051040
31 + 1051009 = 1051040
37 + 1051003 = 1051040
43 + 1050997 = 1051040
79 + 1050961 = 1051040
127 + 1050913 = 1051040
139 + 1050901 = 1051040
223 + 1050817 = 1051040

Showing the first eight; more decompositions exist.

Hex color

#1009A0

RGB(16, 9, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.160.

Address: 0.16.9.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.9.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 1040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1040-05-01 (DMMYYYY (Euro, single-digit day))
1040-10-05 (MMDYYYY (US, single-digit day))
1040-05-10 (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 1,051,040 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 US1,051,040 on Google Patents ↗ Look up on USPTO ↗