Live analysis

1,001,140

1,001,140 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.).

1,001,140 (one million one thousand one hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 7,151. Its proper divisors sum to 1,401,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46B4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,128 1,001,129 1,001,130 1,001,131 1,001,132 1,001,133 1,001,134 1,001,135 1,001,136 1,001,137 1,001,138 1,001,139 1,001,140 1,001,141 1,001,142 1,001,143 1,001,144 1,001,145 1,001,146 1,001,147 1,001,148 1,001,149 1,001,150 1,001,151 1,001,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 411,001
Square (n²): 1,002,281,299,600
Cube (n³): 1,003,423,900,281,544,000
Divisor count: 24
σ(n) — sum of divisors: 2,403,072
φ(n) — Euler's totient: 343,200
Sum of prime factors: 7,167

Primality

Prime factorization: 2 ² × 5 × 7 × 7151

Nearest primes: 1,001,123 (−17) · 1,001,153 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 140 · 7151 · 14302 · 28604 · 35755 · 50057 · 71510 · 100114 · 143020 · 200228 · 250285 · 500570 (half) · 1001140

Aliquot sum (sum of proper divisors): 1,401,932

Factor pairs (a × b = 1,001,140)

1 × 1001140

2 × 500570

4 × 250285

5 × 200228

7 × 143020

10 × 100114

14 × 71510

20 × 50057

28 × 35755

35 × 28604

70 × 14302

140 × 7151

First multiples

1,001,140 · 2,002,280 (double) · 3,003,420 · 4,004,560 · 5,005,700 · 6,006,840 · 7,007,980 · 8,009,120 · 9,010,260 · 10,011,400

Sums & aliquot sequence

As consecutive integers: 200,226 + 200,227 + 200,228 + 200,229 + 200,230 143,017 + 143,018 + … + 143,023 125,139 + 125,140 + … + 125,146 28,587 + 28,588 + … + 28,621

Aliquot sequence: 1,001,140 → 1,401,932 → 1,401,988 → 1,585,724 → 1,585,780 → 2,317,196 → 2,317,252 → 2,317,308 → 3,999,492 → 7,794,108 → 14,980,644 → 28,297,500 → 76,668,900 → 199,980,060 → 439,957,476 → 858,950,316 → 1,622,462,436 — unresolved within range

Continued fraction of √n

√1,001,140 = [1000; (1, 1, 3, 12, 1, 1, 5, 2, 3, 2, 2, 1, 1, 1, 1, 2, 3, 13, 1, 1, 1, 1, 33, 3, …)]

Representations

In words: one million one thousand one hundred forty
Ordinal: 1001140th
Binary: 11110100011010110100
Octal: 3643264
Hexadecimal: 0xF46B4
Base64: D0a0
One's complement: 4,293,966,155 (32-bit)
Scientific notation: 1.00114 × 10⁶
As a duration: 1,001,140 s = 11 days, 14 hours, 5 minutes, 40 seconds

In other bases

ternary (3) 1212212022021

quaternary (4) 3310122310

quinary (5) 224014030

senary (6) 33242524

septenary (7) 11336530

nonary (9) 1785267

undecimal (11) 624198

duodecimal (12) 403444

tridecimal (13) 2908ba

tetradecimal (14) 1c0bc0

pentadecimal (15) 14b97a

As an angle

1,001,140° = 2,780 × 360° + 340°

340° ≈ 5.934 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千一百四十
Chinese (financial): 壹佰萬壹仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١١٤٠ Devanagari १००११४० Bengali ১০০১১৪০ Tamil ௧௦௦௧௧௪௦ Thai ๑๐๐๑๑๔๐ Tibetan ༡༠༠༡༡༤༠ Khmer ១០០១១៤០ Lao ໑໐໐໑໑໔໐ Burmese ၁၀၀၁၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001140, here are decompositions:

17 + 1001123 = 1001140
47 + 1001093 = 1001140
53 + 1001087 = 1001140
59 + 1001081 = 1001140
71 + 1001069 = 1001140
113 + 1001027 = 1001140
137 + 1001003 = 1001140
167 + 1000973 = 1001140

Showing the first eight; more decompositions exist.

Hex color

#0F46B4

RGB(15, 70, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.180.

Address: 0.15.70.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.180

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 1,001,140 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 US1,001,140 on Google Patents ↗ Look up on USPTO ↗