Live analysis

470,080

470,080 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.).

470,080 (four hundred seventy thousand eighty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 13 × 113. Its proper divisors sum to 746,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C40.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

470,068 470,069 470,070 470,071 470,072 470,073 470,074 470,075 470,076 470,077 470,078 470,079 470,080 470,081 470,082 470,083 470,084 470,085 470,086 470,087 470,088 470,089 470,090 470,091 470,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 80,074
Square (n²): 220,975,206,400
Cube (n³): 103,876,025,024,512,000
Divisor count: 56
σ(n) — sum of divisors: 1,216,152
φ(n) — Euler's totient: 172,032
Sum of prime factors: 143

Primality

Prime factorization: 2 ⁶ × 5 × 13 × 113

Nearest primes: 470,077 (−3) · 470,081 (+1)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 64 · 65 · 80 · 104 · 113 · 130 · 160 · 208 · 226 · 260 · 320 · 416 · 452 · 520 · 565 · 832 · 904 · 1040 · 1130 · 1469 · 1808 · 2080 · 2260 · 2938 · 3616 · 4160 · 4520 · 5876 · 7232 · 7345 · 9040 · 11752 · 14690 · 18080 · 23504 · 29380 · 36160 · 47008 · 58760 · 94016 · 117520 · 235040 (half) · 470080

Aliquot sum (sum of proper divisors): 746,072

Factor pairs (a × b = 470,080)

1 × 470080

2 × 235040

4 × 117520

5 × 94016

8 × 58760

10 × 47008

13 × 36160

16 × 29380

20 × 23504

26 × 18080

32 × 14690

40 × 11752

52 × 9040

64 × 7345

65 × 7232

80 × 5876

104 × 4520

113 × 4160

130 × 3616

160 × 2938

208 × 2260

226 × 2080

260 × 1808

320 × 1469

416 × 1130

452 × 1040

520 × 904

565 × 832

First multiples

470,080 · 940,160 (double) · 1,410,240 · 1,880,320 · 2,350,400 · 2,820,480 · 3,290,560 · 3,760,640 · 4,230,720 · 4,700,800

Sums & aliquot sequence

As a sum of two squares: 136² + 672² = 224² + 648² = 384² + 568² = 456² + 512²

As consecutive integers: 94,014 + 94,015 + 94,016 + 94,017 + 94,018 36,154 + 36,155 + … + 36,166 7,200 + 7,201 + … + 7,264 4,104 + 4,105 + … + 4,216

Aliquot sequence: 470,080 → 746,072 → 663,328 → 712,592 → 668,086 → 334,046 → 167,026 → 94,478 → 48,994 → 36,542 → 24,106 → 14,234 → 9,094 → 4,550 → 5,866 → 4,214 → 3,310 — unresolved within range

Continued fraction of √n

√470,080 = [685; (1, 1, 1, 1, 1, 12, 2, 3, 3, 6, 1, 2, 4, 16, 1, 2, 3, 10, 3, 37, 1, 3, 3, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand eighty
Ordinal: 470080th
Binary: 1110010110001000000
Octal: 1626100
Hexadecimal: 0x72C40
Base64: ByxA
One's complement: 4,294,497,215 (32-bit)
Scientific notation: 4.7008 × 10⁵
As a duration: 470,080 s = 5 days, 10 hours, 34 minutes, 40 seconds

In other bases

ternary (3) 212212211101

quaternary (4) 1302301000

quinary (5) 110020310

senary (6) 14024144

septenary (7) 3665332

nonary (9) 785741

undecimal (11) 2a11a6

duodecimal (12) 1a8054

tridecimal (13) 135c70

tetradecimal (14) c3452

pentadecimal (15) 9443a

As an angle

470,080° = 1,305 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοπʹ
Chinese: 四十七萬零八十
Chinese (financial): 肆拾柒萬零捌拾

In other modern scripts

Eastern Arabic ٤٧٠٠٨٠ Devanagari ४७००८० Bengali ৪৭০০৮০ Tamil ௪௭௦௦௮௦ Thai ๔๗๐๐๘๐ Tibetan ༤༧༠༠༨༠ Khmer ៤៧០០៨០ Lao ໔໗໐໐໘໐ Burmese ၄၇၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470080, here are decompositions:

3 + 470077 = 470080
41 + 470039 = 470080
59 + 470021 = 470080
101 + 469979 = 470080
173 + 469907 = 470080
239 + 469841 = 470080
257 + 469823 = 470080
269 + 469811 = 470080

Showing the first eight; more decompositions exist.

Hex color

#072C40

RGB(7, 44, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.64.

Address: 0.7.44.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.44.64

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 470,080 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 US470,080 on Google Patents ↗ Look up on USPTO ↗