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470,640

470,640 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.).

470,640 (four hundred seventy thousand six hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 37 × 53. Its proper divisors sum to 1,056,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72E70.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
46,074
Recamán's sequence
a(135,376) = 470,640
Square (n²)
221,502,009,600
Cube (n³)
104,247,705,798,144,000
Divisor count
80
σ(n) — sum of divisors
1,526,688
φ(n) — Euler's totient
119,808
Sum of prime factors
106

Primality

Prime factorization: 2 4 × 3 × 5 × 37 × 53

Nearest primes: 470,627 (−13) · 470,647 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 37 · 40 · 48 · 53 · 60 · 74 · 80 · 106 · 111 · 120 · 148 · 159 · 185 · 212 · 222 · 240 · 265 · 296 · 318 · 370 · 424 · 444 · 530 · 555 · 592 · 636 · 740 · 795 · 848 · 888 · 1060 · 1110 · 1272 · 1480 · 1590 · 1776 · 1961 · 2120 · 2220 · 2544 · 2960 · 3180 · 3922 · 4240 · 4440 · 5883 · 6360 · 7844 · 8880 · 9805 · 11766 · 12720 · 15688 · 19610 · 23532 · 29415 · 31376 · 39220 · 47064 · 58830 · 78440 · 94128 · 117660 · 156880 · 235320 (half) · 470640
Aliquot sum (sum of proper divisors): 1,056,048
Factor pairs (a × b = 470,640)
1 × 470640
2 × 235320
3 × 156880
4 × 117660
5 × 94128
6 × 78440
8 × 58830
10 × 47064
12 × 39220
15 × 31376
16 × 29415
20 × 23532
24 × 19610
30 × 15688
37 × 12720
40 × 11766
48 × 9805
53 × 8880
60 × 7844
74 × 6360
80 × 5883
106 × 4440
111 × 4240
120 × 3922
148 × 3180
159 × 2960
185 × 2544
212 × 2220
222 × 2120
240 × 1961
265 × 1776
296 × 1590
318 × 1480
370 × 1272
424 × 1110
444 × 1060
530 × 888
555 × 848
592 × 795
636 × 740
First multiples
470,640 · 941,280 (double) · 1,411,920 · 1,882,560 · 2,353,200 · 2,823,840 · 3,294,480 · 3,765,120 · 4,235,760 · 4,706,400

Sums & aliquot sequence

As consecutive integers: 156,879 + 156,880 + 156,881 94,126 + 94,127 + 94,128 + 94,129 + 94,130 31,369 + 31,370 + … + 31,383 14,692 + 14,693 + … + 14,723
Aliquot sequence: 470,640 1,056,048 2,124,552 3,186,888 5,444,472 9,796,488 18,145,272 27,217,968 44,735,760 111,504,240 265,065,408 500,470,272 1,018,807,488 1,911,268,440 4,516,416,360 10,538,308,440 — keeps growing

Continued fraction of √n

√470,640 = [686; (31, 5, 2, 10, 1, 7, 1, 1, 1, 27, 2, 1, 7, 7, 1, 84, 1, 7, 7, 1, 2, 27, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand six hundred forty
Ordinal
470640th
Binary
1110010111001110000
Octal
1627160
Hexadecimal
0x72E70
Base64
By5w
One's complement
4,294,496,655 (32-bit)
Scientific notation
4.7064 × 10⁵
As a duration
470,640 s = 5 days, 10 hours, 44 minutes
In other bases
ternary (3) 212220121010
quaternary (4) 1302321300
quinary (5) 110030030
senary (6) 14030520
septenary (7) 4000062
nonary (9) 786533
undecimal (11) 2a1665
duodecimal (12) 1a8440
tridecimal (13) 1362b1
tetradecimal (14) c3732
pentadecimal (15) 946b0

As an angle

470,640° = 1,307 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοχμʹ
Chinese
四十七萬零六百四十
Chinese (financial)
肆拾柒萬零陸佰肆拾
In other modern scripts
Eastern Arabic ٤٧٠٦٤٠ Devanagari ४७०६४० Bengali ৪৭০৬৪০ Tamil ௪௭௦௬௪௦ Thai ๔๗๐๖๔๐ Tibetan ༤༧༠༦༤༠ Khmer ៤៧០៦៤០ Lao ໔໗໐໖໔໐ Burmese ၄၇၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470640, here are decompositions:

  • 13 + 470627 = 470640
  • 19 + 470621 = 470640
  • 31 + 470609 = 470640
  • 41 + 470599 = 470640
  • 43 + 470597 = 470640
  • 47 + 470593 = 470640
  • 61 + 470579 = 470640
  • 89 + 470551 = 470640

Showing the first eight; more decompositions exist.

Hex color
#072E70
RGB(7, 46, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.46.112.

Address
0.7.46.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.46.112

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 470,640 and was likely granted around 1891.

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

Related reading

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