number.wiki
Live analysis

467,840

467,840 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.).

467,840 (four hundred sixty-seven thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 17 × 43. Its proper divisors sum to 743,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72380.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
48,764
Square (n²)
218,874,265,600
Cube (n³)
102,398,136,418,304,000
Divisor count
64
σ(n) — sum of divisors
1,211,760
φ(n) — Euler's totient
172,032
Sum of prime factors
79

Primality

Prime factorization: 2 7 × 5 × 17 × 43

Nearest primes: 467,833 (−7) · 467,867 (+27)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 32 · 34 · 40 · 43 · 64 · 68 · 80 · 85 · 86 · 128 · 136 · 160 · 170 · 172 · 215 · 272 · 320 · 340 · 344 · 430 · 544 · 640 · 680 · 688 · 731 · 860 · 1088 · 1360 · 1376 · 1462 · 1720 · 2176 · 2720 · 2752 · 2924 · 3440 · 3655 · 5440 · 5504 · 5848 · 6880 · 7310 · 10880 · 11696 · 13760 · 14620 · 23392 · 27520 · 29240 · 46784 · 58480 · 93568 · 116960 · 233920 (half) · 467840
Aliquot sum (sum of proper divisors): 743,920
Factor pairs (a × b = 467,840)
1 × 467840
2 × 233920
4 × 116960
5 × 93568
8 × 58480
10 × 46784
16 × 29240
17 × 27520
20 × 23392
32 × 14620
34 × 13760
40 × 11696
43 × 10880
64 × 7310
68 × 6880
80 × 5848
85 × 5504
86 × 5440
128 × 3655
136 × 3440
160 × 2924
170 × 2752
172 × 2720
215 × 2176
272 × 1720
320 × 1462
340 × 1376
344 × 1360
430 × 1088
544 × 860
640 × 731
680 × 688
First multiples
467,840 · 935,680 (double) · 1,403,520 · 1,871,360 · 2,339,200 · 2,807,040 · 3,274,880 · 3,742,720 · 4,210,560 · 4,678,400

Sums & aliquot sequence

As consecutive integers: 93,566 + 93,567 + 93,568 + 93,569 + 93,570 27,512 + 27,513 + … + 27,528 10,859 + 10,860 + … + 10,901 5,462 + 5,463 + … + 5,546
Aliquot sequence: 467,840 → 743,920 → 1,090,784 → 1,086,496 → 1,166,384 → 1,110,256 → 1,461,008 → 1,395,952 → 1,372,968 → 2,345,682 → 2,375,790 → 3,326,178 → 3,758,622 → 4,832,610 → 6,765,726 → 8,641,122 → 11,207,070 — unresolved within range

Continued fraction of √n

√467,840 = [683; (1, 84, 2, 341, 2, 84, 1, 1366)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand eight hundred forty
Ordinal
467840th
Binary
1110010001110000000
Octal
1621600
Hexadecimal
0x72380
Base64
ByOA
One's complement
4,294,499,455 (32-bit)
Scientific notation
4.6784 × 10⁵
As a duration
467,840 s = 5 days, 9 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 212202202102
quaternary (4) 1302032000
quinary (5) 104432330
senary (6) 14005532
septenary (7) 3655652
nonary (9) 782672
undecimal (11) 29a54a
duodecimal (12) 1a68a8
tridecimal (13) 134c39
tetradecimal (14) c26d2
pentadecimal (15) 93945

As an angle

467,840° = 1,299 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξζωμʹ
Chinese
四十六萬七千八百四十
Chinese (financial)
肆拾陸萬柒仟捌佰肆拾
In other modern scripts
Eastern Arabic ٤٦٧٨٤٠ Devanagari ४६७८४० Bengali ৪৬৭৮৪০ Tamil ௪௬௭௮௪௦ Thai ๔๖๗๘๔๐ Tibetan ༤༦༧༨༤༠ Khmer ៤៦៧៨៤០ Lao ໔໖໗໘໔໐ Burmese ၄၆၇၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467840, here are decompositions:

  • 7 + 467833 = 467840
  • 13 + 467827 = 467840
  • 67 + 467773 = 467840
  • 97 + 467743 = 467840
  • 103 + 467737 = 467840
  • 127 + 467713 = 467840
  • 151 + 467689 = 467840
  • 199 + 467641 = 467840

Showing the first eight; more decompositions exist.

Hex color
#072380
RGB(7, 35, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.35.128.

Address
0.7.35.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.35.128

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 467,840 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°.