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467,040

467,040 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.).

467,040 (four hundred sixty-seven thousand forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7 × 139. Its proper divisors sum to 1,226,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72060.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number 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
40,764
Square (n²)
218,126,361,600
Cube (n³)
101,873,735,921,664,000
Divisor count
96
σ(n) — sum of divisors
1,693,440
φ(n) — Euler's totient
105,984
Sum of prime factors
164

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 139

Nearest primes: 467,021 (−19) · 467,063 (+23)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 139 · 140 · 160 · 168 · 210 · 224 · 240 · 278 · 280 · 336 · 417 · 420 · 480 · 556 · 560 · 672 · 695 · 834 · 840 · 973 · 1112 · 1120 · 1390 · 1668 · 1680 · 1946 · 2085 · 2224 · 2780 · 2919 · 3336 · 3360 · 3892 · 4170 · 4448 · 4865 · 5560 · 5838 · 6672 · 7784 · 8340 · 9730 · 11120 · 11676 · 13344 · 14595 · 15568 · 16680 · 19460 · 22240 · 23352 · 29190 · 31136 · 33360 · 38920 · 46704 · 58380 · 66720 · 77840 · 93408 · 116760 · 155680 · 233520 (half) · 467040
Aliquot sum (sum of proper divisors): 1,226,400
Factor pairs (a × b = 467,040)
1 × 467040
2 × 233520
3 × 155680
4 × 116760
5 × 93408
6 × 77840
7 × 66720
8 × 58380
10 × 46704
12 × 38920
14 × 33360
15 × 31136
16 × 29190
20 × 23352
21 × 22240
24 × 19460
28 × 16680
30 × 15568
32 × 14595
35 × 13344
40 × 11676
42 × 11120
48 × 9730
56 × 8340
60 × 7784
70 × 6672
80 × 5838
84 × 5560
96 × 4865
105 × 4448
112 × 4170
120 × 3892
139 × 3360
140 × 3336
160 × 2919
168 × 2780
210 × 2224
224 × 2085
240 × 1946
278 × 1680
280 × 1668
336 × 1390
417 × 1120
420 × 1112
480 × 973
556 × 840
560 × 834
672 × 695
First multiples
467,040 · 934,080 (double) · 1,401,120 · 1,868,160 · 2,335,200 · 2,802,240 · 3,269,280 · 3,736,320 · 4,203,360 · 4,670,400

Sums & aliquot sequence

As consecutive integers: 155,679 + 155,680 + 155,681 93,406 + 93,407 + 93,408 + 93,409 + 93,410 66,717 + 66,718 + … + 66,723 31,129 + 31,130 + … + 31,143
Aliquot sequence: 467,040 → 1,226,400 → 3,398,304 → 7,609,056 → 17,478,048 → 36,712,032 → 73,426,080 → 218,353,632 → 436,709,280 → 1,204,088,928 → 2,558,896,032 → 6,469,739,808 → 12,939,481,632 — keeps growing

Continued fraction of √n

√467,040 = [683; (2, 2, 11, 1, 10, 1, 1, 3, 3, 1, 3, 1, 1, 1, 2, 4, 2, 1, 5, 1, 2, 341, 2, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand forty
Ordinal
467040th
Binary
1110010000001100000
Octal
1620140
Hexadecimal
0x72060
Base64
ByBg
One's complement
4,294,500,255 (32-bit)
Scientific notation
4.6704 × 10⁵
As a duration
467,040 s = 5 days, 9 hours, 44 minutes
In other bases
ternary (3) 212201122210
quaternary (4) 1302001200
quinary (5) 104421130
senary (6) 14002120
septenary (7) 3653430
nonary (9) 781583
undecimal (11) 299992
duodecimal (12) 1a6340
tridecimal (13) 134772
tetradecimal (14) c22c0
pentadecimal (15) 935b0
Palindromic in base 11

As an angle

467,040° = 1,297 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξζμʹ
Chinese
四十六萬七千零四十
Chinese (financial)
肆拾陸萬柒仟零肆拾
In other modern scripts
Eastern Arabic ٤٦٧٠٤٠ Devanagari ४६७०४० Bengali ৪৬৭০৪০ Tamil ௪௬௭௦௪௦ Thai ๔๖๗๐๔๐ Tibetan ༤༦༧༠༤༠ Khmer ៤៦៧០៤០ Lao ໔໖໗໐໔໐ Burmese ၄၆၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467040, here are decompositions:

  • 19 + 467021 = 467040
  • 23 + 467017 = 467040
  • 31 + 467009 = 467040
  • 37 + 467003 = 467040
  • 43 + 466997 = 467040
  • 83 + 466957 = 467040
  • 89 + 466951 = 467040
  • 127 + 466913 = 467040

Showing the first eight; more decompositions exist.

Hex color
#072060
RGB(7, 32, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.32.96.

Address
0.7.32.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.32.96

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 467,040 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°.