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490,980

490,980 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.).

490,980 (four hundred ninety thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 7² × 167. Its proper divisors sum to 1,117,788, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77DE4.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
89,094
Square (n²)
241,061,360,400
Cube (n³)
118,356,306,729,192,000
Divisor count
72
σ(n) — sum of divisors
1,608,768
φ(n) — Euler's totient
111,552
Sum of prime factors
193

Primality

Prime factorization: 2 2 × 3 × 5 × 7 2 × 167

Nearest primes: 490,969 (−11) · 490,991 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 49 · 60 · 70 · 84 · 98 · 105 · 140 · 147 · 167 · 196 · 210 · 245 · 294 · 334 · 420 · 490 · 501 · 588 · 668 · 735 · 835 · 980 · 1002 · 1169 · 1470 · 1670 · 2004 · 2338 · 2505 · 2940 · 3340 · 3507 · 4676 · 5010 · 5845 · 7014 · 8183 · 10020 · 11690 · 14028 · 16366 · 17535 · 23380 · 24549 · 32732 · 35070 · 40915 · 49098 · 70140 · 81830 · 98196 · 122745 · 163660 · 245490 (half) · 490980
Aliquot sum (sum of proper divisors): 1,117,788
Factor pairs (a × b = 490,980)
1 × 490980
2 × 245490
3 × 163660
4 × 122745
5 × 98196
6 × 81830
7 × 70140
10 × 49098
12 × 40915
14 × 35070
15 × 32732
20 × 24549
21 × 23380
28 × 17535
30 × 16366
35 × 14028
42 × 11690
49 × 10020
60 × 8183
70 × 7014
84 × 5845
98 × 5010
105 × 4676
140 × 3507
147 × 3340
167 × 2940
196 × 2505
210 × 2338
245 × 2004
294 × 1670
334 × 1470
420 × 1169
490 × 1002
501 × 980
588 × 835
668 × 735
First multiples
490,980 · 981,960 (double) · 1,472,940 · 1,963,920 · 2,454,900 · 2,945,880 · 3,436,860 · 3,927,840 · 4,418,820 · 4,909,800

Sums & aliquot sequence

As consecutive integers: 163,659 + 163,660 + 163,661 98,194 + 98,195 + 98,196 + 98,197 + 98,198 70,137 + 70,138 + … + 70,143 61,369 + 61,370 + … + 61,376
Aliquot sequence: 490,980 1,117,788 1,917,804 3,583,636 3,645,740 5,104,372 6,216,588 12,363,204 21,239,484 37,358,916 64,591,548 110,585,412 220,736,124 433,299,076 433,984,124 450,527,812 503,532,092 — unresolved within range

Continued fraction of √n

√490,980 = [700; (1, 2, 3, 28, 3, 2, 1, 1400)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand nine hundred eighty
Ordinal
490980th
Binary
1110111110111100100
Octal
1676744
Hexadecimal
0x77DE4
Base64
B33k
One's complement
4,294,476,315 (32-bit)
Scientific notation
4.9098 × 10⁵
As a duration
490,980 s = 5 days, 16 hours, 23 minutes
In other bases
ternary (3) 220221111110
quaternary (4) 1313313210
quinary (5) 111202410
senary (6) 14305020
septenary (7) 4113300
nonary (9) 827443
undecimal (11) 305976
duodecimal (12) 1b8170
tridecimal (13) 142629
tetradecimal (14) cad00
pentadecimal (15) 9a720

As an angle

490,980° = 1,363 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟϡπʹ
Chinese
四十九萬零九百八十
Chinese (financial)
肆拾玖萬零玖佰捌拾
In other modern scripts
Eastern Arabic ٤٩٠٩٨٠ Devanagari ४९०९८० Bengali ৪৯০৯৮০ Tamil ௪௯௦௯௮௦ Thai ๔๙๐๙๘๐ Tibetan ༤༩༠༩༨༠ Khmer ៤៩០៩៨០ Lao ໔໙໐໙໘໐ Burmese ၄၉၀၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490980, here are decompositions:

  • 11 + 490969 = 490980
  • 13 + 490967 = 490980
  • 23 + 490957 = 490980
  • 29 + 490951 = 490980
  • 31 + 490949 = 490980
  • 43 + 490937 = 490980
  • 53 + 490927 = 490980
  • 59 + 490921 = 490980

Showing the first eight; more decompositions exist.

Hex color
#077DE4
RGB(7, 125, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.125.228.

Address
0.7.125.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.125.228

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 490,980 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 490980 first appears in π at position 487,128 of the decimal expansion (the 487,128ordinal-suffix:th 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°.