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490,360

490,360 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.).

490,360 (four hundred ninety thousand three hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 13 × 23 × 41. Its proper divisors sum to 779,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77B78.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious 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
63,094
Square (n²)
240,452,929,600
Cube (n³)
117,908,498,558,656,000
Divisor count
64
σ(n) — sum of divisors
1,270,080
φ(n) — Euler's totient
168,960
Sum of prime factors
88

Primality

Prime factorization: 2 3 × 5 × 13 × 23 × 41

Nearest primes: 490,339 (−21) · 490,367 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 23 · 26 · 40 · 41 · 46 · 52 · 65 · 82 · 92 · 104 · 115 · 130 · 164 · 184 · 205 · 230 · 260 · 299 · 328 · 410 · 460 · 520 · 533 · 598 · 820 · 920 · 943 · 1066 · 1196 · 1495 · 1640 · 1886 · 2132 · 2392 · 2665 · 2990 · 3772 · 4264 · 4715 · 5330 · 5980 · 7544 · 9430 · 10660 · 11960 · 12259 · 18860 · 21320 · 24518 · 37720 · 49036 · 61295 · 98072 · 122590 · 245180 (half) · 490360
Aliquot sum (sum of proper divisors): 779,720
Factor pairs (a × b = 490,360)
1 × 490360
2 × 245180
4 × 122590
5 × 98072
8 × 61295
10 × 49036
13 × 37720
20 × 24518
23 × 21320
26 × 18860
40 × 12259
41 × 11960
46 × 10660
52 × 9430
65 × 7544
82 × 5980
92 × 5330
104 × 4715
115 × 4264
130 × 3772
164 × 2990
184 × 2665
205 × 2392
230 × 2132
260 × 1886
299 × 1640
328 × 1495
410 × 1196
460 × 1066
520 × 943
533 × 920
598 × 820
First multiples
490,360 · 980,720 (double) · 1,471,080 · 1,961,440 · 2,451,800 · 2,942,160 · 3,432,520 · 3,922,880 · 4,413,240 · 4,903,600

Sums & aliquot sequence

As consecutive integers: 98,070 + 98,071 + 98,072 + 98,073 + 98,074 37,714 + 37,715 + … + 37,726 30,640 + 30,641 + … + 30,655 21,309 + 21,310 + … + 21,331
Aliquot sequence: 490,360 779,720 1,001,200 1,405,144 1,492,856 1,323,784 1,836,296 2,504,824 2,862,776 3,532,624 3,311,866 1,804,742 933,058 695,204 530,524 397,900 508,292 — unresolved within range

Continued fraction of √n

√490,360 = [700; (3, 1, 8, 17, 5, 1, 2, 7, 4, 1, 1, 2, 8, 2, 2, 1, 1, 155, 35, 155, 1, 1, 2, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand three hundred sixty
Ordinal
490360th
Binary
1110111101101111000
Octal
1675570
Hexadecimal
0x77B78
Base64
B3t4
One's complement
4,294,476,935 (32-bit)
Scientific notation
4.9036 × 10⁵
As a duration
490,360 s = 5 days, 16 hours, 12 minutes, 40 seconds
In other bases
ternary (3) 220220122111
quaternary (4) 1313231320
quinary (5) 111142420
senary (6) 14302104
septenary (7) 4111423
nonary (9) 826574
undecimal (11) 305462
duodecimal (12) 1b7934
tridecimal (13) 142270
tetradecimal (14) ca9ba
pentadecimal (15) 9a45a

As an angle

490,360° = 1,362 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟτξʹ
Chinese
四十九萬零三百六十
Chinese (financial)
肆拾玖萬零參佰陸拾
In other modern scripts
Eastern Arabic ٤٩٠٣٦٠ Devanagari ४९०३६० Bengali ৪৯০৩৬০ Tamil ௪௯௦௩௬௦ Thai ๔๙๐๓๖๐ Tibetan ༤༩༠༣༦༠ Khmer ៤៩០៣៦០ Lao ໔໙໐໓໖໐ Burmese ၄၉၀၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490360, here are decompositions:

  • 47 + 490313 = 490360
  • 83 + 490277 = 490360
  • 89 + 490271 = 490360
  • 113 + 490247 = 490360
  • 137 + 490223 = 490360
  • 191 + 490169 = 490360
  • 239 + 490121 = 490360
  • 257 + 490103 = 490360

Showing the first eight; more decompositions exist.

Hex color
#077B78
RGB(7, 123, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.123.120.

Address
0.7.123.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.123.120

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 490,360 and was likely granted around 1892.

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

Position in π

The digit sequence 490360 first appears in π at position 314,681 of the decimal expansion (the 314,681ordinal-suffix:st 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°.