number.wiki
Live analysis

467,064

467,064 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.).

467,064 (four hundred sixty-seven thousand sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 13 × 499. Its proper divisors sum to 897,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72078.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
460,764
Square (n²)
218,148,780,096
Cube (n³)
101,889,441,826,758,144
Divisor count
48
σ(n) — sum of divisors
1,365,000
φ(n) — Euler's totient
143,424
Sum of prime factors
524

Primality

Prime factorization: 2 3 × 3 2 × 13 × 499

Nearest primes: 467,063 (−1) · 467,081 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 36 · 39 · 52 · 72 · 78 · 104 · 117 · 156 · 234 · 312 · 468 · 499 · 936 · 998 · 1497 · 1996 · 2994 · 3992 · 4491 · 5988 · 6487 · 8982 · 11976 · 12974 · 17964 · 19461 · 25948 · 35928 · 38922 · 51896 · 58383 · 77844 · 116766 · 155688 · 233532 (half) · 467064
Aliquot sum (sum of proper divisors): 897,936
Factor pairs (a × b = 467,064)
1 × 467064
2 × 233532
3 × 155688
4 × 116766
6 × 77844
8 × 58383
9 × 51896
12 × 38922
13 × 35928
18 × 25948
24 × 19461
26 × 17964
36 × 12974
39 × 11976
52 × 8982
72 × 6487
78 × 5988
104 × 4491
117 × 3992
156 × 2994
234 × 1996
312 × 1497
468 × 998
499 × 936
First multiples
467,064 · 934,128 (double) · 1,401,192 · 1,868,256 · 2,335,320 · 2,802,384 · 3,269,448 · 3,736,512 · 4,203,576 · 4,670,640

Sums & aliquot sequence

As consecutive integers: 155,687 + 155,688 + 155,689 51,892 + 51,893 + … + 51,900 35,922 + 35,923 + … + 35,934 29,184 + 29,185 + … + 29,199
Aliquot sequence: 467,064 → 897,936 → 1,601,904 → 2,719,248 → 5,310,000 → 13,574,580 → 24,636,684 → 32,939,044 → 24,704,290 → 23,417,630 → 18,734,122 → 12,502,070 → 13,216,618 → 6,702,902 → 3,351,454 → 1,723,034 → 997,606 — unresolved within range

Continued fraction of √n

√467,064 = [683; (2, 2, 1, 1, 1, 10, 1, 1, 1, 54, 59, 2, 2, 3, 1, 3, 3, 1, 1, 7, 2, 1, 1, 1, …)]

Representations

In words
four hundred sixty-seven thousand sixty-four
Ordinal
467064th
Binary
1110010000001111000
Octal
1620170
Hexadecimal
0x72078
Base64
ByB4
One's complement
4,294,500,231 (32-bit)
Scientific notation
4.67064 × 10⁵
As a duration
467,064 s = 5 days, 9 hours, 44 minutes, 24 seconds
In other bases
ternary (3) 212201200200
quaternary (4) 1302001320
quinary (5) 104421224
senary (6) 14002200
septenary (7) 3653463
nonary (9) 781620
undecimal (11) 299a04
duodecimal (12) 1a6360
tridecimal (13) 134790
tetradecimal (14) c22da
pentadecimal (15) 935c9

As an angle

467,064° = 1,297 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξζξδʹ
Chinese
四十六萬七千零六十四
Chinese (financial)
肆拾陸萬柒仟零陸拾肆
In other modern scripts
Eastern Arabic ٤٦٧٠٦٤ Devanagari ४६७०६४ Bengali ৪৬৭০৬৪ Tamil ௪௬௭௦௬௪ Thai ๔๖๗๐๖๔ Tibetan ༤༦༧༠༦༤ Khmer ៤៦៧០៦៤ Lao ໔໖໗໐໖໔ Burmese ၄၆၇၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467064, here are decompositions:

  • 43 + 467021 = 467064
  • 47 + 467017 = 467064
  • 61 + 467003 = 467064
  • 67 + 466997 = 467064
  • 107 + 466957 = 467064
  • 113 + 466951 = 467064
  • 151 + 466913 = 467064
  • 167 + 466897 = 467064

Showing the first eight; more decompositions exist.

Hex color
#072078
RGB(7, 32, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.32.120.

Address
0.7.32.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.32.120

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 467,064 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°.