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470,360

470,360 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.).

470,360 (four hundred seventy thousand three hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 1,069. Its proper divisors sum to 685,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D58.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
63,074
Square (n²)
221,238,529,600
Cube (n³)
104,061,754,782,656,000
Divisor count
32
σ(n) — sum of divisors
1,155,600
φ(n) — Euler's totient
170,880
Sum of prime factors
1,091

Primality

Prime factorization: 2 3 × 5 × 11 × 1069

Nearest primes: 470,359 (−1) · 470,389 (+29)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 40 · 44 · 55 · 88 · 110 · 220 · 440 · 1069 · 2138 · 4276 · 5345 · 8552 · 10690 · 11759 · 21380 · 23518 · 42760 · 47036 · 58795 · 94072 · 117590 · 235180 (half) · 470360
Aliquot sum (sum of proper divisors): 685,240
Factor pairs (a × b = 470,360)
1 × 470360
2 × 235180
4 × 117590
5 × 94072
8 × 58795
10 × 47036
11 × 42760
20 × 23518
22 × 21380
40 × 11759
44 × 10690
55 × 8552
88 × 5345
110 × 4276
220 × 2138
440 × 1069
First multiples
470,360 · 940,720 (double) · 1,411,080 · 1,881,440 · 2,351,800 · 2,822,160 · 3,292,520 · 3,762,880 · 4,233,240 · 4,703,600

Sums & aliquot sequence

As consecutive integers: 94,070 + 94,071 + 94,072 + 94,073 + 94,074 42,755 + 42,756 + … + 42,765 29,390 + 29,391 + … + 29,405 8,525 + 8,526 + … + 8,579
Aliquot sequence: 470,360 685,240 901,640 1,127,140 1,638,812 1,675,492 1,934,044 1,934,100 5,016,844 5,016,900 11,579,260 19,451,012 20,707,708 20,856,164 22,077,832 28,924,628 21,693,478 — unresolved within range

Continued fraction of √n

√470,360 = [685; (1, 4, 1, 4, 2, 1, 11, 7, 3, 24, 5, 1, 2, 3, 4, 1, 3, 4, 2, 14, 1, 27, 17, 3, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand three hundred sixty
Ordinal
470360th
Binary
1110010110101011000
Octal
1626530
Hexadecimal
0x72D58
Base64
By1Y
One's complement
4,294,496,935 (32-bit)
Scientific notation
4.7036 × 10⁵
As a duration
470,360 s = 5 days, 10 hours, 39 minutes, 20 seconds
In other bases
ternary (3) 212220012202
quaternary (4) 1302311120
quinary (5) 110022420
senary (6) 14025332
septenary (7) 3666212
nonary (9) 786182
undecimal (11) 2a1430
duodecimal (12) 1a8248
tridecimal (13) 136127
tetradecimal (14) c35b2
pentadecimal (15) 94575

As an angle

470,360° = 1,306 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοτξʹ
Chinese
四十七萬零三百六十
Chinese (financial)
肆拾柒萬零參佰陸拾
In other modern scripts
Eastern Arabic ٤٧٠٣٦٠ Devanagari ४७०३६० Bengali ৪৭০৩৬০ Tamil ௪௭௦௩௬௦ Thai ๔๗๐๓๖๐ Tibetan ༤༧༠༣༦༠ Khmer ៤៧០៣៦០ Lao ໔໗໐໓໖໐ Burmese ၄၇၀၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470360, here are decompositions:

  • 13 + 470347 = 470360
  • 43 + 470317 = 470360
  • 61 + 470299 = 470360
  • 97 + 470263 = 470360
  • 109 + 470251 = 470360
  • 151 + 470209 = 470360
  • 181 + 470179 = 470360
  • 193 + 470167 = 470360

Showing the first eight; more decompositions exist.

Hex color
#072D58
RGB(7, 45, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.88.

Address
0.7.45.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.88

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 470,360 and was likely granted around 1891.

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

Position in π

The digit sequence 470360 first appears in π at position 60,396 of the decimal expansion (the 60,396ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.