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466,640

466,640 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.).

466,640 (four hundred sixty-six thousand six hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 19 × 307. Its proper divisors sum to 679,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71ED0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
46,664
Square (n²)
217,752,889,600
Cube (n³)
101,612,208,402,944,000
Divisor count
40
σ(n) — sum of divisors
1,145,760
φ(n) — Euler's totient
176,256
Sum of prime factors
339

Primality

Prime factorization: 2 4 × 5 × 19 × 307

Nearest primes: 466,637 (−3) · 466,649 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 38 · 40 · 76 · 80 · 95 · 152 · 190 · 304 · 307 · 380 · 614 · 760 · 1228 · 1520 · 1535 · 2456 · 3070 · 4912 · 5833 · 6140 · 11666 · 12280 · 23332 · 24560 · 29165 · 46664 · 58330 · 93328 · 116660 · 233320 (half) · 466640
Aliquot sum (sum of proper divisors): 679,120
Factor pairs (a × b = 466,640)
1 × 466640
2 × 233320
4 × 116660
5 × 93328
8 × 58330
10 × 46664
16 × 29165
19 × 24560
20 × 23332
38 × 12280
40 × 11666
76 × 6140
80 × 5833
95 × 4912
152 × 3070
190 × 2456
304 × 1535
307 × 1520
380 × 1228
614 × 760
First multiples
466,640 · 933,280 (double) · 1,399,920 · 1,866,560 · 2,333,200 · 2,799,840 · 3,266,480 · 3,733,120 · 4,199,760 · 4,666,400

Sums & aliquot sequence

As consecutive integers: 93,326 + 93,327 + 93,328 + 93,329 + 93,330 24,551 + 24,552 + … + 24,569 14,567 + 14,568 + … + 14,598 4,865 + 4,866 + … + 4,959
Aliquot sequence: 466,640 → 679,120 → 1,023,896 → 912,544 → 884,090 → 718,630 → 732,890 → 603,718 → 313,562 → 156,784 → 155,696 → 155,296 → 165,248 → 164,212 → 128,304 → 278,292 → 464,044 — unresolved within range

Continued fraction of √n

√466,640 = [683; (9, 21, 4, 4, 4, 21, 9, 1366)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-six thousand six hundred forty
Ordinal
466640th
Binary
1110001111011010000
Octal
1617320
Hexadecimal
0x71ED0
Base64
Bx7Q
One's complement
4,294,500,655 (32-bit)
Scientific notation
4.6664 × 10⁵
As a duration
466,640 s = 5 days, 9 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 212201002222
quaternary (4) 1301323100
quinary (5) 104413030
senary (6) 14000212
septenary (7) 3652316
nonary (9) 781088
undecimal (11) 299659
duodecimal (12) 1a6068
tridecimal (13) 134525
tetradecimal (14) c20b6
pentadecimal (15) 933e5

As an angle

466,640° = 1,296 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξϛχμʹ
Chinese
四十六萬六千六百四十
Chinese (financial)
肆拾陸萬陸仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٦٦٦٤٠ Devanagari ४६६६४० Bengali ৪৬৬৬৪০ Tamil ௪௬௬௬௪௦ Thai ๔๖๖๖๔๐ Tibetan ༤༦༦༦༤༠ Khmer ៤៦៦៦៤០ Lao ໔໖໖໖໔໐ Burmese ၄၆၆၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466640, here are decompositions:

  • 3 + 466637 = 466640
  • 37 + 466603 = 466640
  • 61 + 466579 = 466640
  • 67 + 466573 = 466640
  • 73 + 466567 = 466640
  • 79 + 466561 = 466640
  • 103 + 466537 = 466640
  • 157 + 466483 = 466640

Showing the first eight; more decompositions exist.

Hex color
#071ED0
RGB(7, 30, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.30.208.

Address
0.7.30.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.30.208

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 466,640 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 466640 first appears in π at position 374,092 of the decimal expansion (the 374,092ordinal-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°.