Live analysis

500,040

500,040 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.).

500,040 (five hundred thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 463. Its proper divisors sum to 1,170,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A148.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

500,028 500,029 500,030 500,031 500,032 500,033 500,034 500,035 500,036 500,037 500,038 500,039 500,040 500,041 500,042 500,043 500,044 500,045 500,046 500,047 500,048 500,049 500,050 500,051 500,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 40,005
Square (n²): 250,040,001,600
Cube (n³): 125,030,002,400,064,000
Divisor count: 64
σ(n) — sum of divisors: 1,670,400
φ(n) — Euler's totient: 133,056
Sum of prime factors: 483

Primality

Prime factorization: 2 ³ × 3 ³ × 5 × 463

Nearest primes: 500,029 (−11) · 500,041 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 90 · 108 · 120 · 135 · 180 · 216 · 270 · 360 · 463 · 540 · 926 · 1080 · 1389 · 1852 · 2315 · 2778 · 3704 · 4167 · 4630 · 5556 · 6945 · 8334 · 9260 · 11112 · 12501 · 13890 · 16668 · 18520 · 20835 · 25002 · 27780 · 33336 · 41670 · 50004 · 55560 · 62505 · 83340 · 100008 · 125010 · 166680 · 250020 (half) · 500040

Aliquot sum (sum of proper divisors): 1,170,360

Factor pairs (a × b = 500,040)

1 × 500040

2 × 250020

3 × 166680

4 × 125010

5 × 100008

6 × 83340

8 × 62505

9 × 55560

10 × 50004

12 × 41670

15 × 33336

18 × 27780

20 × 25002

24 × 20835

27 × 18520

30 × 16668

36 × 13890

40 × 12501

45 × 11112

54 × 9260

60 × 8334

72 × 6945

90 × 5556

108 × 4630

120 × 4167

135 × 3704

180 × 2778

216 × 2315

270 × 1852

360 × 1389

463 × 1080

540 × 926

First multiples

500,040 · 1,000,080 (double) · 1,500,120 · 2,000,160 · 2,500,200 · 3,000,240 · 3,500,280 · 4,000,320 · 4,500,360 · 5,000,400

Sums & aliquot sequence

As consecutive integers: 166,679 + 166,680 + 166,681 100,006 + 100,007 + 100,008 + 100,009 + 100,010 55,556 + 55,557 + … + 55,564 33,329 + 33,330 + … + 33,343

Aliquot sequence: 500,040 → 1,170,360 → 2,634,480 → 6,215,400 → 15,211,800 → 37,935,840 → 88,618,560 → 192,748,416 → 392,388,864 → 822,556,560 → 2,309,242,992 → 4,699,696,800 → 10,741,627,392 — keeps growing

Continued fraction of √n

√500,040 = [707; (7, 2, 2, 9, 1, 156, 4, 4, 1, 1, 1, 4, 4, 156, 1, 9, 2, 2, 7, 1414)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: five hundred thousand forty
Ordinal: 500040th
Binary: 1111010000101001000
Octal: 1720510
Hexadecimal: 0x7A148
Base64: B6FI
One's complement: 4,294,467,255 (32-bit)
Scientific notation: 5.0004 × 10⁵
As a duration: 500,040 s = 5 days, 18 hours, 54 minutes

In other bases

ternary (3) 221101221000

quaternary (4) 1322011020

quinary (5) 112000130

senary (6) 14415000

septenary (7) 4151562

nonary (9) 841830

undecimal (11) 311762

duodecimal (12) 201460

tridecimal (13) 1467a8

tetradecimal (14) d0332

pentadecimal (15) 9d260

As an angle

500,040° = 1,389 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φμʹ
Chinese: 五十萬零四十
Chinese (financial): 伍拾萬零肆拾

In other modern scripts

Eastern Arabic ٥٠٠٠٤٠ Devanagari ५०००४० Bengali ৫০০০৪০ Tamil ௫௦௦௦௪௦ Thai ๕๐๐๐๔๐ Tibetan ༥༠༠༠༤༠ Khmer ៥០០០៤០ Lao ໕໐໐໐໔໐ Burmese ၅၀၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 500040, here are decompositions:

11 + 500029 = 500040
31 + 500009 = 500040
61 + 499979 = 500040
67 + 499973 = 500040
71 + 499969 = 500040
83 + 499957 = 500040
97 + 499943 = 500040
113 + 499927 = 500040

Showing the first eight; more decompositions exist.

Hex color

#07A148

RGB(7, 161, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.161.72.

Address: 0.7.161.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.161.72

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 500,040 and was likely granted around 1893.

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

Look up US500,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 500040 first appears in π at position 524,224 of the decimal expansion (the 524,224ordinal-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 500040 on Pi Search ↗