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466,240

466,240 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.).

466,240 (four hundred sixty-six thousand two hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 31 × 47. Its proper divisors sum to 704,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71D40.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
42,664
Square (n²)
217,379,737,600
Cube (n³)
101,351,128,858,624,000
Divisor count
56
σ(n) — sum of divisors
1,170,432
φ(n) — Euler's totient
176,640
Sum of prime factors
95

Primality

Prime factorization: 2 6 × 5 × 31 × 47

Nearest primes: 466,201 (−39) · 466,243 (+3)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 31 · 32 · 40 · 47 · 62 · 64 · 80 · 94 · 124 · 155 · 160 · 188 · 235 · 248 · 310 · 320 · 376 · 470 · 496 · 620 · 752 · 940 · 992 · 1240 · 1457 · 1504 · 1880 · 1984 · 2480 · 2914 · 3008 · 3760 · 4960 · 5828 · 7285 · 7520 · 9920 · 11656 · 14570 · 15040 · 23312 · 29140 · 46624 · 58280 · 93248 · 116560 · 233120 (half) · 466240
Aliquot sum (sum of proper divisors): 704,192
Factor pairs (a × b = 466,240)
1 × 466240
2 × 233120
4 × 116560
5 × 93248
8 × 58280
10 × 46624
16 × 29140
20 × 23312
31 × 15040
32 × 14570
40 × 11656
47 × 9920
62 × 7520
64 × 7285
80 × 5828
94 × 4960
124 × 3760
155 × 3008
160 × 2914
188 × 2480
235 × 1984
248 × 1880
310 × 1504
320 × 1457
376 × 1240
470 × 992
496 × 940
620 × 752
First multiples
466,240 · 932,480 (double) · 1,398,720 · 1,864,960 · 2,331,200 · 2,797,440 · 3,263,680 · 3,729,920 · 4,196,160 · 4,662,400

Sums & aliquot sequence

As consecutive integers: 93,246 + 93,247 + 93,248 + 93,249 + 93,250 15,025 + 15,026 + … + 15,055 9,897 + 9,898 + … + 9,943 3,579 + 3,580 + … + 3,706
Aliquot sequence: 466,240 → 704,192 → 693,316 → 639,484 → 479,620 → 527,624 → 472,996 → 354,754 → 183,626 → 91,816 → 88,184 → 80,536 → 70,484 → 55,180 → 65,780 → 103,564 → 88,460 — unresolved within range

Continued fraction of √n

√466,240 = [682; (1, 4, 2, 16, 2, 2, 7, 2, 1, 4, 22, 1, 1, 4, 1, 4, 1, 1, 1, 151, 11, 151, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-six thousand two hundred forty
Ordinal
466240th
Binary
1110001110101000000
Octal
1616500
Hexadecimal
0x71D40
Base64
Bx1A
One's complement
4,294,501,055 (32-bit)
Scientific notation
4.6624 × 10⁵
As a duration
466,240 s = 5 days, 9 hours, 30 minutes, 40 seconds
In other bases
ternary (3) 212200120011
quaternary (4) 1301311000
quinary (5) 104404430
senary (6) 13554304
septenary (7) 3651205
nonary (9) 780504
undecimal (11) 299325
duodecimal (12) 1a5994
tridecimal (13) 1342a8
tetradecimal (14) c1cac
pentadecimal (15) 9322a

As an angle

466,240° = 1,295 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξϛσμʹ
Chinese
四十六萬六千二百四十
Chinese (financial)
肆拾陸萬陸仟貳佰肆拾
In other modern scripts
Eastern Arabic ٤٦٦٢٤٠ Devanagari ४६६२४० Bengali ৪৬৬২৪০ Tamil ௪௬௬௨௪௦ Thai ๔๖๖๒๔๐ Tibetan ༤༦༦༢༤༠ Khmer ៤៦៦២៤០ Lao ໔໖໖໒໔໐ Burmese ၄၆၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466240, here are decompositions:

  • 59 + 466181 = 466240
  • 101 + 466139 = 466240
  • 149 + 466091 = 466240
  • 167 + 466073 = 466240
  • 179 + 466061 = 466240
  • 197 + 466043 = 466240
  • 251 + 465989 = 466240
  • 263 + 465977 = 466240

Showing the first eight; more decompositions exist.

Hex color
#071D40
RGB(7, 29, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.29.64.

Address
0.7.29.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.29.64

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 466,240 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°.