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490,120

490,120 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.).

490,120 (four hundred ninety thousand one hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 12,253. Its proper divisors sum to 612,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A88.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
21,094
Square (n²)
240,217,614,400
Cube (n³)
117,735,457,169,728,000
Divisor count
16
σ(n) — sum of divisors
1,102,860
φ(n) — Euler's totient
196,032
Sum of prime factors
12,264

Primality

Prime factorization: 2 3 × 5 × 12253

Nearest primes: 490,117 (−3) · 490,121 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 12253 · 24506 · 49012 · 61265 · 98024 · 122530 · 245060 (half) · 490120
Aliquot sum (sum of proper divisors): 612,740
Factor pairs (a × b = 490,120)
1 × 490120
2 × 245060
4 × 122530
5 × 98024
8 × 61265
10 × 49012
20 × 24506
40 × 12253
First multiples
490,120 · 980,240 (double) · 1,470,360 · 1,960,480 · 2,450,600 · 2,940,720 · 3,430,840 · 3,920,960 · 4,411,080 · 4,901,200

Sums & aliquot sequence

As a sum of two squares: 54² + 698² = 462² + 526²
As consecutive integers: 98,022 + 98,023 + 98,024 + 98,025 + 98,026 30,625 + 30,626 + … + 30,640 6,087 + 6,088 + … + 6,166
Aliquot sequence: 490,120 612,740 674,056 603,044 533,560 667,040 1,056,640 1,685,120 2,344,900 2,811,020 3,092,164 2,797,076 2,310,796 1,779,164 1,334,380 1,494,068 1,120,558 — unresolved within range

Continued fraction of √n

√490,120 = [700; (11, 1, 2, 155, 4, 3, 5, 1, 3, 17, 38, 1, 5, 11, 1, 1, 349, 1, 1, 11, 5, 1, 38, 17, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand one hundred twenty
Ordinal
490120th
Binary
1110111101010001000
Octal
1675210
Hexadecimal
0x77A88
Base64
B3qI
One's complement
4,294,477,175 (32-bit)
Scientific notation
4.9012 × 10⁵
As a duration
490,120 s = 5 days, 16 hours, 8 minutes, 40 seconds
In other bases
ternary (3) 220220022121
quaternary (4) 1313222020
quinary (5) 111140440
senary (6) 14301024
septenary (7) 4110631
nonary (9) 826277
undecimal (11) 305264
duodecimal (12) 1b7774
tridecimal (13) 142117
tetradecimal (14) ca888
pentadecimal (15) 9a34a

As an angle

490,120° = 1,361 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆
Greek (Milesian)
͵υϟρκʹ
Chinese
四十九萬零一百二十
Chinese (financial)
肆拾玖萬零壹佰貳拾
In other modern scripts
Eastern Arabic ٤٩٠١٢٠ Devanagari ४९०१२० Bengali ৪৯০১২০ Tamil ௪௯௦௧௨௦ Thai ๔๙๐๑๒๐ Tibetan ༤༩༠༡༢༠ Khmer ៤៩០១២០ Lao ໔໙໐໑໒໐ Burmese ၄၉၀၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490120, here are decompositions:

  • 3 + 490117 = 490120
  • 17 + 490103 = 490120
  • 23 + 490097 = 490120
  • 89 + 490031 = 490120
  • 101 + 490019 = 490120
  • 131 + 489989 = 490120
  • 179 + 489941 = 490120
  • 233 + 489887 = 490120

Showing the first eight; more decompositions exist.

Hex color
#077A88
RGB(7, 122, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.136.

Address
0.7.122.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.122.136

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 490,120 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 490120 first appears in π at position 962,323 of the decimal expansion (the 962,323ordinal-suffix:rd 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°.