Live analysis

1,007,140

1,007,140 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.).

1,007,140 (one million seven thousand one hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 37 × 1,361. Its proper divisors sum to 1,166,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E24.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,007,128 1,007,129 1,007,130 1,007,131 1,007,132 1,007,133 1,007,134 1,007,135 1,007,136 1,007,137 1,007,138 1,007,139 1,007,140 1,007,141 1,007,142 1,007,143 1,007,144 1,007,145 1,007,146 1,007,147 1,007,148 1,007,149 1,007,150 1,007,151 1,007,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 417,001
Square (n²): 1,014,330,979,600
Cube (n³): 1,021,573,302,794,344,000
Divisor count: 24
σ(n) — sum of divisors: 2,173,752
φ(n) — Euler's totient: 391,680
Sum of prime factors: 1,407

Primality

Prime factorization: 2 ² × 5 × 37 × 1361

Nearest primes: 1,007,137 (−3) · 1,007,161 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 37 · 74 · 148 · 185 · 370 · 740 · 1361 · 2722 · 5444 · 6805 · 13610 · 27220 · 50357 · 100714 · 201428 · 251785 · 503570 (half) · 1007140

Aliquot sum (sum of proper divisors): 1,166,612

Factor pairs (a × b = 1,007,140)

1 × 1007140

2 × 503570

4 × 251785

5 × 201428

10 × 100714

20 × 50357

37 × 27220

74 × 13610

148 × 6805

185 × 5444

370 × 2722

740 × 1361

First multiples

1,007,140 · 2,014,280 (double) · 3,021,420 · 4,028,560 · 5,035,700 · 6,042,840 · 7,049,980 · 8,057,120 · 9,064,260 · 10,071,400

Sums & aliquot sequence

As a sum of two squares: 56² + 1,002² = 272² + 966² = 362² + 936² = 646² + 768²

As consecutive integers: 201,426 + 201,427 + 201,428 + 201,429 + 201,430 125,889 + 125,890 + … + 125,896 27,202 + 27,203 + … + 27,238 25,159 + 25,160 + … + 25,198

Aliquot sequence: 1,007,140 → 1,166,612 → 987,988 → 816,332 → 742,204 → 556,660 → 702,836 → 527,134 → 263,570 → 210,874 → 105,440 → 144,040 → 206,240 → 281,380 → 363,740 → 459,460 → 505,448 — unresolved within range

Continued fraction of √n

√1,007,140 = [1003; (1, 1, 3, 2, 2, 1, 23, 5, 2, 1, 1, 13, 1, 1, 1, 3, 1, 8, 3, 2, 1, 2, 3, 3, …)]

Representations

In words: one million seven thousand one hundred forty
Ordinal: 1007140th
Binary: 11110101111000100100
Octal: 3657044
Hexadecimal: 0xF5E24
Base64: D14k
One's complement: 4,293,960,155 (32-bit)
Scientific notation: 1.00714 × 10⁶
As a duration: 1,007,140 s = 11 days, 15 hours, 45 minutes, 40 seconds

In other bases

ternary (3) 1220011112111

quaternary (4) 3311320210

quinary (5) 224212030

senary (6) 33330404

septenary (7) 11363161

nonary (9) 1804474

undecimal (11) 628752

duodecimal (12) 406a04

tridecimal (13) 293554

tetradecimal (14) 1c3068

pentadecimal (15) 14d62a

As an angle

1,007,140° = 2,797 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬七千一百四十
Chinese (financial): 壹佰萬柒仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٧١٤٠ Devanagari १००७१४० Bengali ১০০৭১৪০ Tamil ௧௦௦௭௧௪௦ Thai ๑๐๐๗๑๔๐ Tibetan ༡༠༠༧༡༤༠ Khmer ១០០៧១៤០ Lao ໑໐໐໗໑໔໐ Burmese ၁၀၀၇၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007140, here are decompositions:

3 + 1007137 = 1007140
11 + 1007129 = 1007140
23 + 1007117 = 1007140
41 + 1007099 = 1007140
59 + 1007081 = 1007140
149 + 1006991 = 1007140
191 + 1006949 = 1007140
257 + 1006883 = 1007140

Showing the first eight; more decompositions exist.

Hex color

#0F5E24

RGB(15, 94, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.36.

Address: 0.15.94.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.36

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 1,007,140 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 US1,007,140 on Google Patents ↗ Look up on USPTO ↗