Live analysis

1,009,140

1,009,140 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.).

1,009,140 (one million nine thousand one hundred forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 11² × 139. Its proper divisors sum to 2,119,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF65F4.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,009,128 1,009,129 1,009,130 1,009,131 1,009,132 1,009,133 1,009,134 1,009,135 1,009,136 1,009,137 1,009,138 1,009,139 1,009,140 1,009,141 1,009,142 1,009,143 1,009,144 1,009,145 1,009,146 1,009,147 1,009,148 1,009,149 1,009,150 1,009,151 1,009,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 419,001
Recamán's sequence: a(347,171) = 1,009,140
Square (n²): 1,018,363,539,600
Cube (n³): 1,027,671,382,351,944,000
Divisor count: 72
σ(n) — sum of divisors: 3,128,160
φ(n) — Euler's totient: 242,880
Sum of prime factors: 173

Primality

Prime factorization: 2 ² × 3 × 5 × 11 ² × 139

Nearest primes: 1,009,139 (−1) · 1,009,153 (+13)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 44 · 55 · 60 · 66 · 110 · 121 · 132 · 139 · 165 · 220 · 242 · 278 · 330 · 363 · 417 · 484 · 556 · 605 · 660 · 695 · 726 · 834 · 1210 · 1390 · 1452 · 1529 · 1668 · 1815 · 2085 · 2420 · 2780 · 3058 · 3630 · 4170 · 4587 · 6116 · 7260 · 7645 · 8340 · 9174 · 15290 · 16819 · 18348 · 22935 · 30580 · 33638 · 45870 · 50457 · 67276 · 84095 · 91740 · 100914 · 168190 · 201828 · 252285 · 336380 · 504570 (half) · 1009140

Aliquot sum (sum of proper divisors): 2,119,020

Factor pairs (a × b = 1,009,140)

1 × 1009140

2 × 504570

3 × 336380

4 × 252285

5 × 201828

6 × 168190

10 × 100914

11 × 91740

12 × 84095

15 × 67276

20 × 50457

22 × 45870

30 × 33638

33 × 30580

44 × 22935

55 × 18348

60 × 16819

66 × 15290

110 × 9174

121 × 8340

132 × 7645

139 × 7260

165 × 6116

220 × 4587

242 × 4170

278 × 3630

330 × 3058

363 × 2780

417 × 2420

484 × 2085

556 × 1815

605 × 1668

660 × 1529

695 × 1452

726 × 1390

834 × 1210

First multiples

1,009,140 · 2,018,280 (double) · 3,027,420 · 4,036,560 · 5,045,700 · 6,054,840 · 7,063,980 · 8,073,120 · 9,082,260 · 10,091,400

Sums & aliquot sequence

As consecutive integers: 336,379 + 336,380 + 336,381 201,826 + 201,827 + 201,828 + 201,829 + 201,830 126,139 + 126,140 + … + 126,146 91,735 + 91,736 + … + 91,745

Aliquot sequence: 1,009,140 → 2,119,020 → 3,814,404 → 6,374,460 → 11,632,452 → 17,598,204 → 31,894,148 → 36,456,148 → 27,384,384 → 45,544,096 → 51,019,028 → 42,963,532 → 32,222,656 → 31,927,584 → 58,332,768 → 110,559,648 → 184,008,192 — unresolved within range

Continued fraction of √n

√1,009,140 = [1004; (1, 1, 3, 1, 2, 3, 1, 2, 4, 3, 3, 16, 3, 3, 4, 2, 1, 3, 2, 1, 3, 1, 1, 2008)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand one hundred forty
Ordinal: 1009140th
Binary: 11110110010111110100
Octal: 3662764
Hexadecimal: 0xF65F4
Base64: D2X0
One's complement: 4,293,958,155 (32-bit)
Scientific notation: 1.00914 × 10⁶
As a duration: 1,009,140 s = 11 days, 16 hours, 19 minutes

In other bases

ternary (3) 1220021021120

quaternary (4) 3312113310

quinary (5) 224243030

senary (6) 33343540

septenary (7) 11402046

nonary (9) 1807246

undecimal (11) 62a200

duodecimal (12) 407bb0

tridecimal (13) 294432

tetradecimal (14) 1c3a96

pentadecimal (15) 14e010

As an angle

1,009,140° = 2,803 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬九千一百四十
Chinese (financial): 壹佰萬玖仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٩١٤٠ Devanagari १००९१४० Bengali ১০০৯১৪০ Tamil ௧௦௦௯௧௪௦ Thai ๑๐๐๙๑๔๐ Tibetan ༡༠༠༩༡༤༠ Khmer ១០០៩១៤០ Lao ໑໐໐໙໑໔໐ Burmese ၁၀၀၉၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009140, here are decompositions:

19 + 1009121 = 1009140
43 + 1009097 = 1009140
79 + 1009061 = 1009140
103 + 1009037 = 1009140
149 + 1008991 = 1009140
151 + 1008989 = 1009140
157 + 1008983 = 1009140
193 + 1008947 = 1009140

Showing the first eight; more decompositions exist.

Hex color

#0F65F4

RGB(15, 101, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.244.

Address: 0.15.101.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.244

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 1,009,140 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 US1,009,140 on Google Patents ↗ Look up on USPTO ↗