Live analysis

1,006,140

1,006,140 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.).

1,006,140 (one million six thousand one hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 41 × 409. Its proper divisors sum to 1,886,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A3C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,006,128 1,006,129 1,006,130 1,006,131 1,006,132 1,006,133 1,006,134 1,006,135 1,006,136 1,006,137 1,006,138 1,006,139 1,006,140 1,006,141 1,006,142 1,006,143 1,006,144 1,006,145 1,006,146 1,006,147 1,006,148 1,006,149 1,006,150 1,006,151 1,006,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 416,001
Square (n²): 1,012,317,699,600
Cube (n³): 1,018,533,330,275,544,000
Divisor count: 48
σ(n) — sum of divisors: 2,892,960
φ(n) — Euler's totient: 261,120
Sum of prime factors: 462

Primality

Prime factorization: 2 ² × 3 × 5 × 41 × 409

Nearest primes: 1,006,133 (−7) · 1,006,147 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 41 · 60 · 82 · 123 · 164 · 205 · 246 · 409 · 410 · 492 · 615 · 818 · 820 · 1227 · 1230 · 1636 · 2045 · 2454 · 2460 · 4090 · 4908 · 6135 · 8180 · 12270 · 16769 · 24540 · 33538 · 50307 · 67076 · 83845 · 100614 · 167690 · 201228 · 251535 · 335380 · 503070 (half) · 1006140

Aliquot sum (sum of proper divisors): 1,886,820

Factor pairs (a × b = 1,006,140)

1 × 1006140

2 × 503070

3 × 335380

4 × 251535

5 × 201228

6 × 167690

10 × 100614

12 × 83845

15 × 67076

20 × 50307

30 × 33538

41 × 24540

60 × 16769

82 × 12270

123 × 8180

164 × 6135

205 × 4908

246 × 4090

409 × 2460

410 × 2454

492 × 2045

615 × 1636

818 × 1230

820 × 1227

First multiples

1,006,140 · 2,012,280 (double) · 3,018,420 · 4,024,560 · 5,030,700 · 6,036,840 · 7,042,980 · 8,049,120 · 9,055,260 · 10,061,400

Sums & aliquot sequence

As consecutive integers: 335,379 + 335,380 + 335,381 201,226 + 201,227 + 201,228 + 201,229 + 201,230 125,764 + 125,765 + … + 125,771 67,069 + 67,070 + … + 67,083

Aliquot sequence: 1,006,140 → 1,886,820 → 4,040,220 → 8,028,564 → 12,561,516 → 22,078,908 → 34,923,492 → 56,147,124 → 97,133,388 → 159,812,532 → 280,883,724 → 503,071,476 → 699,393,228 → 942,540,660 → 1,939,081,356 → 3,175,016,556 → 4,233,355,436 — unresolved within range

Continued fraction of √n

√1,006,140 = [1003; (15, 3, 5, 3, 1, 4, 2, 4, 2, 4, 1, 3, 5, 3, 15, 2006)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million six thousand one hundred forty
Ordinal: 1006140th
Binary: 11110101101000111100
Octal: 3655074
Hexadecimal: 0xF5A3C
Base64: D1o8
One's complement: 4,293,961,155 (32-bit)
Scientific notation: 1.00614 × 10⁶
As a duration: 1,006,140 s = 11 days, 15 hours, 29 minutes

In other bases

ternary (3) 1220010011110

quaternary (4) 3311220330

quinary (5) 224144030

senary (6) 33322020

septenary (7) 11360232

nonary (9) 1803143

undecimal (11) 627a23

duodecimal (12) 406310

tridecimal (13) 292c65

tetradecimal (14) 1c2952

pentadecimal (15) 14d1b0

As an angle

1,006,140° = 2,794 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬六千一百四十
Chinese (financial): 壹佰萬陸仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٦١٤٠ Devanagari १००६१४० Bengali ১০০৬১৪০ Tamil ௧௦௦௬௧௪௦ Thai ๑๐๐๖๑๔๐ Tibetan ༡༠༠༦༡༤༠ Khmer ១០០៦១៤០ Lao ໑໐໐໖໑໔໐ Burmese ၁၀၀၆၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006140, here are decompositions:

7 + 1006133 = 1006140
17 + 1006123 = 1006140
53 + 1006087 = 1006140
103 + 1006037 = 1006140
137 + 1006003 = 1006140
151 + 1005989 = 1006140
181 + 1005959 = 1006140
227 + 1005913 = 1006140

Showing the first eight; more decompositions exist.

Hex color

#0F5A3C

RGB(15, 90, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.60.

Address: 0.15.90.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.60

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

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 1,006,140 and was likely granted around 1911.

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

Look up US1,006,140 on Google Patents ↗ Look up on USPTO ↗