Live analysis

490,100

490,100 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.).

490,100 (four hundred ninety thousand one hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 5² × 13² × 29. Its proper divisors sum to 701,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A74.

Abundant Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

490,088 490,089 490,090 490,091 490,092 490,093 490,094 490,095 490,096 490,097 490,098 490,099 490,100 490,101 490,102 490,103 490,104 490,105 490,106 490,107 490,108 490,109 490,110 490,111 490,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 1,094
Square (n²): 240,198,010,000
Cube (n³): 117,721,044,701,000,000
Divisor count: 54
σ(n) — sum of divisors: 1,191,330
φ(n) — Euler's totient: 174,720
Sum of prime factors: 69

Primality

Prime factorization: 2 ² × 5 ² × 13 ² × 29

Nearest primes: 490,097 (−3) · 490,103 (+3)

Divisors & multiples

All divisors (54)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 25 · 26 · 29 · 50 · 52 · 58 · 65 · 100 · 116 · 130 · 145 · 169 · 260 · 290 · 325 · 338 · 377 · 580 · 650 · 676 · 725 · 754 · 845 · 1300 · 1450 · 1508 · 1690 · 1885 · 2900 · 3380 · 3770 · 4225 · 4901 · 7540 · 8450 · 9425 · 9802 · 16900 · 18850 · 19604 · 24505 · 37700 · 49010 · 98020 · 122525 · 245050 (half) · 490100

Aliquot sum (sum of proper divisors): 701,230

Factor pairs (a × b = 490,100)

1 × 490100

2 × 245050

4 × 122525

5 × 98020

10 × 49010

13 × 37700

20 × 24505

25 × 19604

26 × 18850

29 × 16900

50 × 9802

52 × 9425

58 × 8450

65 × 7540

100 × 4901

116 × 4225

130 × 3770

145 × 3380

169 × 2900

260 × 1885

290 × 1690

325 × 1508

338 × 1450

377 × 1300

580 × 845

650 × 754

676 × 725

First multiples

490,100 · 980,200 (double) · 1,470,300 · 1,960,400 · 2,450,500 · 2,940,600 · 3,430,700 · 3,920,800 · 4,410,900 · 4,901,000

Sums & aliquot sequence

As a sum of two squares: 10² + 700² = 92² + 694² = 106² + 692² = 182² + 676²

As consecutive integers: 98,018 + 98,019 + 98,020 + 98,021 + 98,022 61,259 + 61,260 + … + 61,266 37,694 + 37,695 + … + 37,706 19,592 + 19,593 + … + 19,616

Aliquot sequence: 490,100 → 701,230 → 561,002 → 345,274 → 190,586 → 121,318 → 60,662 → 45,358 → 22,682 → 14,470 → 11,594 → 9,142 → 6,554 → 3,706 → 2,234 → 1,120 → 1,904 — unresolved within range

Continued fraction of √n

√490,100 = [700; (14, 1400)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety thousand one hundred
Ordinal: 490100th
Binary: 1110111101001110100
Octal: 1675164
Hexadecimal: 0x77A74
Base64: B3p0
One's complement: 4,294,477,195 (32-bit)
Scientific notation: 4.901 × 10⁵
As a duration: 490,100 s = 5 days, 16 hours, 8 minutes, 20 seconds

In other bases

ternary (3) 220220021212

quaternary (4) 1313221310

quinary (5) 111140400

senary (6) 14300552

septenary (7) 4110602

nonary (9) 826255

undecimal (11) 305246

duodecimal (12) 1b7758

tridecimal (13) 142100

tetradecimal (14) ca872

pentadecimal (15) 9a335

As an angle

490,100° = 1,361 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢
Greek (Milesian): ͵υϟρʹ
Chinese: 四十九萬零一百
Chinese (financial): 肆拾玖萬零壹佰

In other modern scripts

Eastern Arabic ٤٩٠١٠٠ Devanagari ४९०१०० Bengali ৪৯০১০০ Tamil ௪௯௦௧௦௦ Thai ๔๙๐๑๐๐ Tibetan ༤༩༠༡༠༠ Khmer ៤៩០១០០ Lao ໔໙໐໑໐໐ Burmese ၄၉၀၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490100, here are decompositions:

3 + 490097 = 490100
43 + 490057 = 490100
67 + 490033 = 490100
97 + 490003 = 490100
139 + 489961 = 490100
157 + 489943 = 490100
199 + 489901 = 490100
229 + 489871 = 490100

Showing the first eight; more decompositions exist.

Hex color

#077A74

RGB(7, 122, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.116.

Address: 0.7.122.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.122.116

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 490,100 and was likely granted around 1892.

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

Look up US490,100 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 490100 first appears in π at position 259,914 of the decimal expansion (the 259,914ordinal-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.

Look up 490100 on Pi Search ↗