Live analysis

470,040

470,040 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.).

470,040 (four hundred seventy thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 3,917. Its proper divisors sum to 940,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C18.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

470,028 470,029 470,030 470,031 470,032 470,033 470,034 470,035 470,036 470,037 470,038 470,039 470,040 470,041 470,042 470,043 470,044 470,045 470,046 470,047 470,048 470,049 470,050 470,051 470,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 40,074
Square (n²): 220,937,601,600
Cube (n³): 103,849,510,256,064,000
Divisor count: 32
σ(n) — sum of divisors: 1,410,480
φ(n) — Euler's totient: 125,312
Sum of prime factors: 3,931

Primality

Prime factorization: 2 ³ × 3 × 5 × 3917

Nearest primes: 470,039 (−1) · 470,059 (+19)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 3917 · 7834 · 11751 · 15668 · 19585 · 23502 · 31336 · 39170 · 47004 · 58755 · 78340 · 94008 · 117510 · 156680 · 235020 (half) · 470040

Aliquot sum (sum of proper divisors): 940,440

Factor pairs (a × b = 470,040)

1 × 470040

2 × 235020

3 × 156680

4 × 117510

5 × 94008

6 × 78340

8 × 58755

10 × 47004

12 × 39170

15 × 31336

20 × 23502

24 × 19585

30 × 15668

40 × 11751

60 × 7834

120 × 3917

First multiples

470,040 · 940,080 (double) · 1,410,120 · 1,880,160 · 2,350,200 · 2,820,240 · 3,290,280 · 3,760,320 · 4,230,360 · 4,700,400

Sums & aliquot sequence

As consecutive integers: 156,679 + 156,680 + 156,681 94,006 + 94,007 + 94,008 + 94,009 + 94,010 31,329 + 31,330 + … + 31,343 29,370 + 29,371 + … + 29,385

Aliquot sequence: 470,040 → 940,440 → 2,053,320 → 4,219,320 → 10,249,800 → 24,435,480 → 49,394,760 → 99,256,440 → 199,174,920 → 494,098,680 → 988,197,720 → 2,032,350,600 → 5,250,219,000 → 12,575,414,280 — keeps growing

Continued fraction of √n

√470,040 = [685; (1, 1, 2, 7, 19, 5, 1, 1, 1, 3, 8, 2, 1, 6, 7, 34, 7, 6, 1, 2, 8, 3, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand forty
Ordinal: 470040th
Binary: 1110010110000011000
Octal: 1626030
Hexadecimal: 0x72C18
Base64: BywY
One's complement: 4,294,497,255 (32-bit)
Scientific notation: 4.7004 × 10⁵
As a duration: 470,040 s = 5 days, 10 hours, 34 minutes

In other bases

ternary (3) 212212202220

quaternary (4) 1302300120

quinary (5) 110020130

senary (6) 14024040

septenary (7) 3665244

nonary (9) 785686

undecimal (11) 2a116a

duodecimal (12) 1a8020

tridecimal (13) 135c3c

tetradecimal (14) c3424

pentadecimal (15) 94410

As an angle

470,040° = 1,305 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υομʹ
Chinese: 四十七萬零四十
Chinese (financial): 肆拾柒萬零肆拾

In other modern scripts

Eastern Arabic ٤٧٠٠٤٠ Devanagari ४७००४० Bengali ৪৭০০৪০ Tamil ௪௭௦௦௪௦ Thai ๔๗๐๐๔๐ Tibetan ༤༧༠༠༤༠ Khmer ៤៧០០៤០ Lao ໔໗໐໐໔໐ Burmese ၄၇၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470040, here are decompositions:

19 + 470021 = 470040
47 + 469993 = 470040
61 + 469979 = 470040
71 + 469969 = 470040
83 + 469957 = 470040
101 + 469939 = 470040
149 + 469891 = 470040
163 + 469877 = 470040

Showing the first eight; more decompositions exist.

Hex color

#072C18

RGB(7, 44, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.24.

Address: 0.7.44.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.44.24

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 470,040 and was likely granted around 1891.

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

Look up US470,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470040 first appears in π at position 550,114 of the decimal expansion (the 550,114ordinal-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 470040 on Pi Search ↗