Live analysis

1,008,140

1,008,140 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.).

1,008,140 (one million eight thousand one hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 19 × 379. Its proper divisors sum to 1,545,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF620C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,008,128 1,008,129 1,008,130 1,008,131 1,008,132 1,008,133 1,008,134 1,008,135 1,008,136 1,008,137 1,008,138 1,008,139 1,008,140 1,008,141 1,008,142 1,008,143 1,008,144 1,008,145 1,008,146 1,008,147 1,008,148 1,008,149 1,008,150 1,008,151 1,008,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 418,001
Recamán's sequence: a(349,171) = 1,008,140
Square (n²): 1,016,346,259,600
Cube (n³): 1,024,619,318,153,144,000
Divisor count: 48
σ(n) — sum of divisors: 2,553,600
φ(n) — Euler's totient: 326,592
Sum of prime factors: 414

Primality

Prime factorization: 2 ² × 5 × 7 × 19 × 379

Nearest primes: 1,008,131 (−9) · 1,008,157 (+17)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 19 · 20 · 28 · 35 · 38 · 70 · 76 · 95 · 133 · 140 · 190 · 266 · 379 · 380 · 532 · 665 · 758 · 1330 · 1516 · 1895 · 2653 · 2660 · 3790 · 5306 · 7201 · 7580 · 10612 · 13265 · 14402 · 26530 · 28804 · 36005 · 50407 · 53060 · 72010 · 100814 · 144020 · 201628 · 252035 · 504070 (half) · 1008140

Aliquot sum (sum of proper divisors): 1,545,460

Factor pairs (a × b = 1,008,140)

1 × 1008140

2 × 504070

4 × 252035

5 × 201628

7 × 144020

10 × 100814

14 × 72010

19 × 53060

20 × 50407

28 × 36005

35 × 28804

38 × 26530

70 × 14402

76 × 13265

95 × 10612

133 × 7580

140 × 7201

190 × 5306

266 × 3790

379 × 2660

380 × 2653

532 × 1895

665 × 1516

758 × 1330

First multiples

1,008,140 · 2,016,280 (double) · 3,024,420 · 4,032,560 · 5,040,700 · 6,048,840 · 7,056,980 · 8,065,120 · 9,073,260 · 10,081,400

Sums & aliquot sequence

As consecutive integers: 201,626 + 201,627 + 201,628 + 201,629 + 201,630 144,017 + 144,018 + … + 144,023 126,014 + 126,015 + … + 126,021 53,051 + 53,052 + … + 53,069

Aliquot sequence: 1,008,140 → 1,545,460 → 2,476,460 → 3,924,340 → 5,494,412 → 6,494,068 → 7,510,832 → 9,120,544 → 8,904,764 → 8,095,324 → 6,071,500 → 7,189,748 → 5,392,318 → 3,031,682 → 1,515,844 → 1,443,644 → 1,107,100 — unresolved within range

Continued fraction of √n

√1,008,140 = [1004; (16, 5, 6, 1, 1, 12, 1, 15, 1, 2, 33, 1, 2, 3, 2, 5, 1, 2, 49, 1, 5, 1, 2, 1, …)]

Representations

In words: one million eight thousand one hundred forty
Ordinal: 1008140th
Binary: 11110110001000001100
Octal: 3661014
Hexadecimal: 0xF620C
Base64: D2IM
One's complement: 4,293,959,155 (32-bit)
Scientific notation: 1.00814 × 10⁶
As a duration: 1,008,140 s = 11 days, 16 hours, 2 minutes, 20 seconds

In other bases

ternary (3) 1220012220112

quaternary (4) 3312020030

quinary (5) 224230030

senary (6) 33335152

septenary (7) 11366120

nonary (9) 1805815

undecimal (11) 629481

duodecimal (12) 4074b8

tridecimal (13) 293b43

tetradecimal (14) 1c3580

pentadecimal (15) 14da95

As an angle

1,008,140° = 2,800 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬八千一百四十
Chinese (financial): 壹佰萬捌仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٨١٤٠ Devanagari १००८१४० Bengali ১০০৮১৪০ Tamil ௧௦௦௮௧௪௦ Thai ๑๐๐๘๑๔๐ Tibetan ༡༠༠༨༡༤༠ Khmer ១០០៨១៤០ Lao ໑໐໐໘໑໔໐ Burmese ၁၀၀၈၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008140, here are decompositions:

97 + 1008043 = 1008140
103 + 1008037 = 1008140
109 + 1008031 = 1008140
127 + 1008013 = 1008140
139 + 1008001 = 1008140
163 + 1007977 = 1008140
181 + 1007959 = 1008140
283 + 1007857 = 1008140

Showing the first eight; more decompositions exist.

Hex color

#0F620C

RGB(15, 98, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.12.

Address: 0.15.98.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.12

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 1,008,140 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 US1,008,140 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1008140 first appears in π at position 273,979 of the decimal expansion (the 273,979ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1008140 on Pi Search ↗