Live analysis

1,040,640

1,040,640 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.).

1,040,640 (one million forty thousand six hundred forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 5 × 271. Its proper divisors sum to 2,295,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE100.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,040,628 1,040,629 1,040,630 1,040,631 1,040,632 1,040,633 1,040,634 1,040,635 1,040,636 1,040,637 1,040,638 1,040,639 1,040,640 1,040,641 1,040,642 1,040,643 1,040,644 1,040,645 1,040,646 1,040,647 1,040,648 1,040,649 1,040,650 1,040,651 1,040,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 460,401
Square (n²): 1,082,931,609,600
Cube (n³): 1,126,941,950,214,144,000
Divisor count: 72
σ(n) — sum of divisors: 3,335,808
φ(n) — Euler's totient: 276,480
Sum of prime factors: 295

Primality

Prime factorization: 2 ⁸ × 3 × 5 × 271

Nearest primes: 1,040,629 (−11) · 1,040,651 (+11)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 128 · 160 · 192 · 240 · 256 · 271 · 320 · 384 · 480 · 542 · 640 · 768 · 813 · 960 · 1084 · 1280 · 1355 · 1626 · 1920 · 2168 · 2710 · 3252 · 3840 · 4065 · 4336 · 5420 · 6504 · 8130 · 8672 · 10840 · 13008 · 16260 · 17344 · 21680 · 26016 · 32520 · 34688 · 43360 · 52032 · 65040 · 69376 · 86720 · 104064 · 130080 · 173440 · 208128 · 260160 · 346880 · 520320 (half) · 1040640

Aliquot sum (sum of proper divisors): 2,295,168

Factor pairs (a × b = 1,040,640)

1 × 1040640

2 × 520320

3 × 346880

4 × 260160

5 × 208128

6 × 173440

8 × 130080

10 × 104064

12 × 86720

15 × 69376

16 × 65040

20 × 52032

24 × 43360

30 × 34688

32 × 32520

40 × 26016

48 × 21680

60 × 17344

64 × 16260

80 × 13008

96 × 10840

120 × 8672

128 × 8130

160 × 6504

192 × 5420

240 × 4336

256 × 4065

271 × 3840

320 × 3252

384 × 2710

480 × 2168

542 × 1920

640 × 1626

768 × 1355

813 × 1280

960 × 1084

First multiples

1,040,640 · 2,081,280 (double) · 3,121,920 · 4,162,560 · 5,203,200 · 6,243,840 · 7,284,480 · 8,325,120 · 9,365,760 · 10,406,400

Sums & aliquot sequence

As consecutive integers: 346,879 + 346,880 + 346,881 208,126 + 208,127 + 208,128 + 208,129 + 208,130 69,369 + 69,370 + … + 69,383 3,705 + 3,706 + … + 3,975

Aliquot sequence: 1,040,640 → 2,295,168 → 3,988,032 → 6,564,144 → 10,393,352 → 9,094,198 → 5,431,802 → 2,742,874 → 1,394,714 → 963,046 → 777,050 → 668,356 → 591,336 → 1,056,024 → 1,877,976 → 3,208,404 → 4,327,404 — unresolved within range

Continued fraction of √n

√1,040,640 = [1020; (8, 1, 1, 509, 1, 1, 8, 2040)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand six hundred forty
Ordinal: 1040640th
Binary: 11111110000100000000
Octal: 3760400
Hexadecimal: 0xFE100
Base64: D+EA
One's complement: 4,293,926,655 (32-bit)
Scientific notation: 1.04064 × 10⁶
As a duration: 1,040,640 s = 12 days, 1 hour, 4 minutes

In other bases

ternary (3) 1221212111020

quaternary (4) 3332010000

quinary (5) 231300030

senary (6) 34145440

septenary (7) 11562636

nonary (9) 1855436

undecimal (11) 650937

duodecimal (12) 422280

tridecimal (13) 2a5883

tetradecimal (14) 1d1356

pentadecimal (15) 158510

As an angle

1,040,640° = 2,890 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零四萬零六百四十
Chinese (financial): 壹佰零肆萬零陸佰肆拾

In other modern scripts

Eastern Arabic ١٠٤٠٦٤٠ Devanagari १०४०६४० Bengali ১০৪০৬৪০ Tamil ௧௦௪௦௬௪௦ Thai ๑๐๔๐๖๔๐ Tibetan ༡༠༤༠༦༤༠ Khmer ១០៤០៦៤០ Lao ໑໐໔໐໖໔໐ Burmese ၁၀၄၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040640, here are decompositions:

11 + 1040629 = 1040640
43 + 1040597 = 1040640
59 + 1040581 = 1040640
61 + 1040579 = 1040640
109 + 1040531 = 1040640
137 + 1040503 = 1040640
151 + 1040489 = 1040640
157 + 1040483 = 1040640

Showing the first eight; more decompositions exist.

Hex color

#0FE100

RGB(15, 225, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.225.0.

Address: 0.15.225.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.225.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 0640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0640-04-01 (DMMYYYY (Euro, single-digit day))
0640-10-04 (MMDYYYY (US, single-digit day))
0640-04-10 (DDMYYYY (Euro, single-digit month))

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 1,040,640 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,040,640 on Google Patents ↗ Look up on USPTO ↗