Live analysis

1,002,140

1,002,140 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.).

1,002,140 (one million two thousand one hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 89 × 563. Its proper divisors sum to 1,129,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A9C.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,128 1,002,129 1,002,130 1,002,131 1,002,132 1,002,133 1,002,134 1,002,135 1,002,136 1,002,137 1,002,138 1,002,139 1,002,140 1,002,141 1,002,142 1,002,143 1,002,144 1,002,145 1,002,146 1,002,147 1,002,148 1,002,149 1,002,150 1,002,151 1,002,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 412,001
Square (n²): 1,004,284,579,600
Cube (n³): 1,006,433,748,600,344,000
Divisor count: 24
σ(n) — sum of divisors: 2,131,920
φ(n) — Euler's totient: 395,648
Sum of prime factors: 661

Primality

Prime factorization: 2 ² × 5 × 89 × 563

Nearest primes: 1,002,121 (−19) · 1,002,143 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 89 · 178 · 356 · 445 · 563 · 890 · 1126 · 1780 · 2252 · 2815 · 5630 · 11260 · 50107 · 100214 · 200428 · 250535 · 501070 (half) · 1002140

Aliquot sum (sum of proper divisors): 1,129,780

Factor pairs (a × b = 1,002,140)

1 × 1002140

2 × 501070

4 × 250535

5 × 200428

10 × 100214

20 × 50107

89 × 11260

178 × 5630

356 × 2815

445 × 2252

563 × 1780

890 × 1126

First multiples

1,002,140 · 2,004,280 (double) · 3,006,420 · 4,008,560 · 5,010,700 · 6,012,840 · 7,014,980 · 8,017,120 · 9,019,260 · 10,021,400

Sums & aliquot sequence

As consecutive integers: 200,426 + 200,427 + 200,428 + 200,429 + 200,430 125,264 + 125,265 + … + 125,271 25,034 + 25,035 + … + 25,073 11,216 + 11,217 + … + 11,304

Aliquot sequence: 1,002,140 → 1,129,780 → 1,242,800 → 1,986,160 → 3,272,432 → 3,597,664 → 4,497,584 → 6,230,896 → 7,566,336 → 14,307,906 → 14,973,918 → 16,683,042 → 16,683,054 → 17,459,538 → 17,459,550 → 31,331,970 → 53,204,274 — unresolved within range

Continued fraction of √n

√1,002,140 = [1001; (14, 2, 2, 11, 2, 3, 1, 49, 3, 1, 1, 1, 1, 2, 2, 1, 5, 1, 2, 1, 3, 500, 3, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million two thousand one hundred forty
Ordinal: 1002140th
Binary: 11110100101010011100
Octal: 3645234
Hexadecimal: 0xF4A9C
Base64: D0qc
One's complement: 4,293,965,155 (32-bit)
Scientific notation: 1.00214 × 10⁶
As a duration: 1,002,140 s = 11 days, 14 hours, 22 minutes, 20 seconds

In other bases

ternary (3) 1212220200022

quaternary (4) 3310222130

quinary (5) 224032030

senary (6) 33251312

septenary (7) 11342456

nonary (9) 1786608

undecimal (11) 624a17

duodecimal (12) 403b38

tridecimal (13) 2911a9

tetradecimal (14) 1c12d6

pentadecimal (15) 14bde5

As an angle

1,002,140° = 2,783 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬二千一百四十
Chinese (financial): 壹佰萬貳仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٢١٤٠ Devanagari १००२१४० Bengali ১০০২১৪০ Tamil ௧௦௦௨௧௪௦ Thai ๑๐๐๒๑๔๐ Tibetan ༡༠༠༢༡༤༠ Khmer ១០០២១៤០ Lao ໑໐໐໒໑໔໐ Burmese ၁၀၀၂၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002140, here are decompositions:

19 + 1002121 = 1002140
31 + 1002109 = 1002140
67 + 1002073 = 1002140
79 + 1002061 = 1002140
151 + 1001989 = 1002140
157 + 1001983 = 1002140
163 + 1001977 = 1002140
193 + 1001947 = 1002140

Showing the first eight; more decompositions exist.

Hex color

#0F4A9C

RGB(15, 74, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.156.

Address: 0.15.74.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.156

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 1,002,140 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 US1,002,140 on Google Patents ↗ Look up on USPTO ↗