Live analysis

1,000,640

1,000,640 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.).

1,000,640 (one million six hundred forty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 53 × 59. Its proper divisors sum to 1,468,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF44C0.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,000,628 1,000,629 1,000,630 1,000,631 1,000,632 1,000,633 1,000,634 1,000,635 1,000,636 1,000,637 1,000,638 1,000,639 1,000,640 1,000,641 1,000,642 1,000,643 1,000,644 1,000,645 1,000,646 1,000,647 1,000,648 1,000,649 1,000,650 1,000,651 1,000,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 460,001
Square (n²): 1,001,280,409,600
Cube (n³): 1,001,921,229,062,144,000
Divisor count: 56
σ(n) — sum of divisors: 2,468,880
φ(n) — Euler's totient: 386,048
Sum of prime factors: 129

Primality

Prime factorization: 2 ⁶ × 5 × 53 × 59

Nearest primes: 1,000,639 (−1) · 1,000,651 (+11)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 53 · 59 · 64 · 80 · 106 · 118 · 160 · 212 · 236 · 265 · 295 · 320 · 424 · 472 · 530 · 590 · 848 · 944 · 1060 · 1180 · 1696 · 1888 · 2120 · 2360 · 3127 · 3392 · 3776 · 4240 · 4720 · 6254 · 8480 · 9440 · 12508 · 15635 · 16960 · 18880 · 25016 · 31270 · 50032 · 62540 · 100064 · 125080 · 200128 · 250160 · 500320 (half) · 1000640

Aliquot sum (sum of proper divisors): 1,468,240

Factor pairs (a × b = 1,000,640)

1 × 1000640

2 × 500320

4 × 250160

5 × 200128

8 × 125080

10 × 100064

16 × 62540

20 × 50032

32 × 31270

40 × 25016

53 × 18880

59 × 16960

64 × 15635

80 × 12508

106 × 9440

118 × 8480

160 × 6254

212 × 4720

236 × 4240

265 × 3776

295 × 3392

320 × 3127

424 × 2360

472 × 2120

530 × 1888

590 × 1696

848 × 1180

944 × 1060

First multiples

1,000,640 · 2,001,280 (double) · 3,001,920 · 4,002,560 · 5,003,200 · 6,003,840 · 7,004,480 · 8,005,120 · 9,005,760 · 10,006,400

Sums & aliquot sequence

As consecutive integers: 200,126 + 200,127 + 200,128 + 200,129 + 200,130 18,854 + 18,855 + … + 18,906 16,931 + 16,932 + … + 16,989 7,754 + 7,755 + … + 7,881

Aliquot sequence: 1,000,640 → 1,468,240 → 1,945,604 → 1,469,500 → 1,740,980 → 1,915,120 → 2,664,944 → 2,531,152 → 2,892,112 → 3,178,928 → 3,305,032 → 2,891,918 → 1,445,962 → 1,050,998 → 646,810 → 535,142 → 284,794 — unresolved within range

Continued fraction of √n

√1,000,640 = [1000; (3, 7, 1, 30, 2, 1, 1, 1, 2, 1, 1, 499, 1, 1, 2, 1, 1, 1, 2, 30, 1, 7, 3, 2000)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million six hundred forty
Ordinal: 1000640th
Binary: 11110100010011000000
Octal: 3642300
Hexadecimal: 0xF44C0
Base64: D0TA
One's complement: 4,293,966,655 (32-bit)
Scientific notation: 1.00064 × 10⁶
As a duration: 1,000,640 s = 11 days, 13 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 1212211121202

quaternary (4) 3310103000

quinary (5) 224010030

senary (6) 33240332

septenary (7) 11335214

nonary (9) 1784552

undecimal (11) 623883

duodecimal (12) 4030a8

tridecimal (13) 2905c4

tetradecimal (14) 1c0944

pentadecimal (15) 14b745

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬零六百四十
Chinese (financial): 壹佰萬零陸佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٠٦٤٠ Devanagari १०००६४० Bengali ১০০০৬৪০ Tamil ௧௦௦௦௬௪௦ Thai ๑๐๐๐๖๔๐ Tibetan ༡༠༠༠༦༤༠ Khmer ១០០០៦៤០ Lao ໑໐໐໐໖໔໐ Burmese ၁၀၀၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000640, here are decompositions:

19 + 1000621 = 1000640
31 + 1000609 = 1000640
61 + 1000579 = 1000640
103 + 1000537 = 1000640
211 + 1000429 = 1000640
283 + 1000357 = 1000640
307 + 1000333 = 1000640
337 + 1000303 = 1000640

Showing the first eight; more decompositions exist.

Hex color

#0F44C0

RGB(15, 68, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.192.

Address: 0.15.68.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.192

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 1,000,640 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 US1,000,640 on Google Patents ↗ Look up on USPTO ↗