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490,560

490,560 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.).

490,560 (four hundred ninety thousand five hundred sixty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 7 × 73. Its proper divisors sum to 1,313,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77C40.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
65,094
Square (n²)
240,649,113,600
Cube (n³)
118,052,829,167,616,000
Divisor count
112
σ(n) — sum of divisors
1,804,416
φ(n) — Euler's totient
110,592
Sum of prime factors
100

Primality

Prime factorization: 2 6 × 3 × 5 × 7 × 73

Nearest primes: 490,559 (−1) · 490,571 (+11)

Divisors & multiples

All divisors (112)
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 · 64 · 70 · 73 · 80 · 84 · 96 · 105 · 112 · 120 · 140 · 146 · 160 · 168 · 192 · 210 · 219 · 224 · 240 · 280 · 292 · 320 · 336 · 365 · 420 · 438 · 448 · 480 · 511 · 560 · 584 · 672 · 730 · 840 · 876 · 960 · 1022 · 1095 · 1120 · 1168 · 1344 · 1460 · 1533 · 1680 · 1752 · 2044 · 2190 · 2240 · 2336 · 2555 · 2920 · 3066 · 3360 · 3504 · 4088 · 4380 · 4672 · 5110 · 5840 · 6132 · 6720 · 7008 · 7665 · 8176 · 8760 · 10220 · 11680 · 12264 · 14016 · 15330 · 16352 · 17520 · 20440 · 23360 · 24528 · 30660 · 32704 · 35040 · 40880 · 49056 · 61320 · 70080 · 81760 · 98112 · 122640 · 163520 · 245280 (half) · 490560
Aliquot sum (sum of proper divisors): 1,313,856
Factor pairs (a × b = 490,560)
1 × 490560
2 × 245280
3 × 163520
4 × 122640
5 × 98112
6 × 81760
7 × 70080
8 × 61320
10 × 49056
12 × 40880
14 × 35040
15 × 32704
16 × 30660
20 × 24528
21 × 23360
24 × 20440
28 × 17520
30 × 16352
32 × 15330
35 × 14016
40 × 12264
42 × 11680
48 × 10220
56 × 8760
60 × 8176
64 × 7665
70 × 7008
73 × 6720
80 × 6132
84 × 5840
96 × 5110
105 × 4672
112 × 4380
120 × 4088
140 × 3504
146 × 3360
160 × 3066
168 × 2920
192 × 2555
210 × 2336
219 × 2240
224 × 2190
240 × 2044
280 × 1752
292 × 1680
320 × 1533
336 × 1460
365 × 1344
420 × 1168
438 × 1120
448 × 1095
480 × 1022
511 × 960
560 × 876
584 × 840
672 × 730
First multiples
490,560 · 981,120 (double) · 1,471,680 · 1,962,240 · 2,452,800 · 2,943,360 · 3,433,920 · 3,924,480 · 4,415,040 · 4,905,600

Sums & aliquot sequence

As consecutive integers: 163,519 + 163,520 + 163,521 98,110 + 98,111 + 98,112 + 98,113 + 98,114 70,077 + 70,078 + … + 70,083 32,697 + 32,698 + … + 32,711
Aliquot sequence: 490,560 1,313,856 2,453,726 1,561,498 794,810 635,866 553,574 395,434 255,734 127,870 114,770 101,230 85,394 42,700 64,932 108,444 180,964 — unresolved within range

Continued fraction of √n

√490,560 = [700; (2, 1, 1, 349, 1, 1, 2, 1400)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand five hundred sixty
Ordinal
490560th
Binary
1110111110001000000
Octal
1676100
Hexadecimal
0x77C40
Base64
B3xA
One's complement
4,294,476,735 (32-bit)
Scientific notation
4.9056 × 10⁵
As a duration
490,560 s = 5 days, 16 hours, 16 minutes
In other bases
ternary (3) 220220220220
quaternary (4) 1313301000
quinary (5) 111144220
senary (6) 14303040
septenary (7) 4112130
nonary (9) 826826
undecimal (11) 305624
duodecimal (12) 1b7a80
tridecimal (13) 142395
tetradecimal (14) caac0
pentadecimal (15) 9a540

As an angle

490,560° = 1,362 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟφξʹ
Chinese
四十九萬零五百六十
Chinese (financial)
肆拾玖萬零伍佰陸拾
In other modern scripts
Eastern Arabic ٤٩٠٥٦٠ Devanagari ४९०५६० Bengali ৪৯০৫৬০ Tamil ௪௯௦௫௬௦ Thai ๔๙๐๕๖๐ Tibetan ༤༩༠༥༦༠ Khmer ៤៩០៥៦០ Lao ໔໙໐໕໖໐ Burmese ၄၉၀၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490560, here are decompositions:

  • 11 + 490549 = 490560
  • 17 + 490543 = 490560
  • 19 + 490541 = 490560
  • 23 + 490537 = 490560
  • 41 + 490519 = 490560
  • 61 + 490499 = 490560
  • 67 + 490493 = 490560
  • 79 + 490481 = 490560

Showing the first eight; more decompositions exist.

Hex color
#077C40
RGB(7, 124, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.124.64.

Address
0.7.124.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.124.64

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 490,560 and was likely granted around 1892.

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°.