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467,640

467,640 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.).

467,640 (four hundred sixty-seven thousand six hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 433. Its proper divisors sum to 1,094,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x722B8.

Abundant Number Gapful Number Harshad / Niven Odious 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
46,764
Square (n²)
218,687,169,600
Cube (n³)
102,266,867,991,744,000
Divisor count
64
σ(n) — sum of divisors
1,562,400
φ(n) — Euler's totient
124,416
Sum of prime factors
453

Primality

Prime factorization: 2 3 × 3 3 × 5 × 433

Nearest primes: 467,633 (−7) · 467,641 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 90 · 108 · 120 · 135 · 180 · 216 · 270 · 360 · 433 · 540 · 866 · 1080 · 1299 · 1732 · 2165 · 2598 · 3464 · 3897 · 4330 · 5196 · 6495 · 7794 · 8660 · 10392 · 11691 · 12990 · 15588 · 17320 · 19485 · 23382 · 25980 · 31176 · 38970 · 46764 · 51960 · 58455 · 77940 · 93528 · 116910 · 155880 · 233820 (half) · 467640
Aliquot sum (sum of proper divisors): 1,094,760
Factor pairs (a × b = 467,640)
1 × 467640
2 × 233820
3 × 155880
4 × 116910
5 × 93528
6 × 77940
8 × 58455
9 × 51960
10 × 46764
12 × 38970
15 × 31176
18 × 25980
20 × 23382
24 × 19485
27 × 17320
30 × 15588
36 × 12990
40 × 11691
45 × 10392
54 × 8660
60 × 7794
72 × 6495
90 × 5196
108 × 4330
120 × 3897
135 × 3464
180 × 2598
216 × 2165
270 × 1732
360 × 1299
433 × 1080
540 × 866
First multiples
467,640 · 935,280 (double) · 1,402,920 · 1,870,560 · 2,338,200 · 2,805,840 · 3,273,480 · 3,741,120 · 4,208,760 · 4,676,400

Sums & aliquot sequence

As consecutive integers: 155,879 + 155,880 + 155,881 93,526 + 93,527 + 93,528 + 93,529 + 93,530 51,956 + 51,957 + … + 51,964 31,169 + 31,170 + … + 31,183
Aliquot sequence: 467,640 → 1,094,760 → 2,464,380 → 5,011,452 → 7,784,604 → 13,017,996 → 21,838,644 → 34,543,500 → 66,051,540 → 134,305,344 → 260,532,576 → 480,357,756 → 765,014,484 → 1,270,415,724 → 1,763,134,068 → 2,352,441,004 → 1,799,626,916 — unresolved within range

Continued fraction of √n

√467,640 = [683; (1, 5, 3, 151, 1, 1, 1, 5, 1, 1, 1, 151, 3, 5, 1, 1366)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand six hundred forty
Ordinal
467640th
Binary
1110010001010111000
Octal
1621270
Hexadecimal
0x722B8
Base64
ByK4
One's complement
4,294,499,655 (32-bit)
Scientific notation
4.6764 × 10⁵
As a duration
467,640 s = 5 days, 9 hours, 54 minutes
In other bases
ternary (3) 212202111000
quaternary (4) 1302022320
quinary (5) 104431030
senary (6) 14005000
septenary (7) 3655245
nonary (9) 782430
undecimal (11) 29a388
duodecimal (12) 1a6760
tridecimal (13) 134b14
tetradecimal (14) c25cc
pentadecimal (15) 93860

As an angle

467,640° = 1,299 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξζχμʹ
Chinese
四十六萬七千六百四十
Chinese (financial)
肆拾陸萬柒仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٦٧٦٤٠ Devanagari ४६७६४० Bengali ৪৬৭৬৪০ Tamil ௪௬௭௬௪௦ Thai ๔๖๗๖๔๐ Tibetan ༤༦༧༦༤༠ Khmer ៤៦៧៦៤០ Lao ໔໖໗໖໔໐ Burmese ၄၆၇၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467640, here are decompositions:

  • 7 + 467633 = 467640
  • 11 + 467629 = 467640
  • 13 + 467627 = 467640
  • 23 + 467617 = 467640
  • 29 + 467611 = 467640
  • 53 + 467587 = 467640
  • 83 + 467557 = 467640
  • 97 + 467543 = 467640

Showing the first eight; more decompositions exist.

Hex color
#0722B8
RGB(7, 34, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.34.184.

Address
0.7.34.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.34.184

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 467,640 and was likely granted around 1891.

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

Position in π

The digit sequence 467640 first appears in π at position 944,072 of the decimal expansion (the 944,072ordinal-suffix:nd 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°.