Live analysis

980,100

980,100 is a composite number, even.

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980,100 (nine hundred eighty thousand one hundred) is an even 6-digit number. It is a composite number with 135 divisors, and factors as 2² × 3⁴ × 5² × 11². Its proper divisors sum to 2,512,081, more than the number itself, making it an abundant number. It is a perfect square (990²). Written other ways, in hexadecimal, 0xEF484.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Perfect Square Powerful Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

980,088 980,089 980,090 980,091 980,092 980,093 980,094 980,095 980,096 980,097 980,098 980,099 980,100 980,101 980,102 980,103 980,104 980,105 980,106 980,107 980,108 980,109 980,110 980,111 980,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 1,089
Flips to (rotate 180°): 1,086
Square (n²): 960,596,010,000
Cube (n³): 941,480,149,401,000,000
Square root (√n): 990
Divisor count: 135
σ(n) — sum of divisors: 3,492,181
φ(n) — Euler's totient: 237,600
Sum of prime factors: 48

Primality

Prime factorization: 2 ² × 3 ⁴ × 5 ² × 11 ²

Nearest primes: 980,081 (−19) · 980,107 (+7)

Divisors & multiples

All divisors (135)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 25 · 27 · 30 · 33 · 36 · 44 · 45 · 50 · 54 · 55 · 60 · 66 · 75 · 81 · 90 · 99 · 100 · 108 · 110 · 121 · 132 · 135 · 150 · 162 · 165 · 180 · 198 · 220 · 225 · 242 · 270 · 275 · 297 · 300 · 324 · 330 · 363 · 396 · 405 · 450 · 484 · 495 · 540 · 550 · 594 · 605 · 660 · 675 · 726 · 810 · 825 · 891 · 900 · 990 · 1089 · 1100 · 1188 · 1210 · 1350 · 1452 · 1485 · 1620 · 1650 · 1782 · 1815 · 1980 · 2025 · 2178 · 2420 · 2475 · 2700 · 2970 · 3025 · 3267 · 3300 · 3564 · 3630 · 4050 · 4356 · 4455 · 4950 · 5445 · 5940 · 6050 · 6534 · 7260 · 7425 · 8100 · 8910 · 9075 · 9801 · 9900 · 10890 · 12100 · 13068 · 14850 · 16335 · 17820 · 18150 · 19602 · 21780 · 22275 · 27225 · 29700 · 32670 · 36300 · 39204 · 44550 · 49005 · 54450 · 65340 · 81675 · 89100 · 98010 · 108900 · 163350 · 196020 · 245025 · 326700 · 490050 (half) · 980100

Aliquot sum (sum of proper divisors): 2,512,081

Factor pairs (a × b = 980,100)

1 × 980100

2 × 490050

3 × 326700

4 × 245025

5 × 196020

6 × 163350

9 × 108900

10 × 98010

11 × 89100

12 × 81675

15 × 65340

18 × 54450

20 × 49005

22 × 44550

25 × 39204

27 × 36300

30 × 32670

33 × 29700

36 × 27225

44 × 22275

45 × 21780

50 × 19602

54 × 18150

55 × 17820

60 × 16335

66 × 14850

75 × 13068

81 × 12100

90 × 10890

99 × 9900

100 × 9801

108 × 9075

110 × 8910

121 × 8100

132 × 7425

135 × 7260

150 × 6534

162 × 6050

165 × 5940

180 × 5445

198 × 4950

220 × 4455

225 × 4356

242 × 4050

270 × 3630

275 × 3564

297 × 3300

300 × 3267

324 × 3025

330 × 2970

363 × 2700

396 × 2475

405 × 2420

450 × 2178

484 × 2025

495 × 1980

540 × 1815

550 × 1782

594 × 1650

605 × 1620

660 × 1485

675 × 1452

726 × 1350

810 × 1210

825 × 1188

891 × 1100

900 × 1089

990 × 990

First multiples

980,100 · 1,960,200 (double) · 2,940,300 · 3,920,400 · 4,900,500 · 5,880,600 · 6,860,700 · 7,840,800 · 8,820,900 · 9,801,000

Sums & aliquot sequence

As a sum of two squares: 0² + 990² = 594² + 792²

As consecutive integers: 326,699 + 326,700 + 326,701 196,018 + 196,019 + 196,020 + 196,021 + 196,022 122,509 + 122,510 + … + 122,516 108,896 + 108,897 + … + 108,904

Aliquot sequence: 980,100 → 2,512,081 → 463,395 → 278,061 → 145,683 → 64,761 → 21,591 → 9,609 → 3,207 → 1,073 → 67 → 1 → 0 — terminates at zero

Representations

In words: nine hundred eighty thousand one hundred
Ordinal: 980100th
Binary: 11101111010010000100
Octal: 3572204
Hexadecimal: 0xEF484
Base64: DvSE
One's complement: 4,293,987,195 (32-bit)
Scientific notation: 9.801 × 10⁵
As a duration: 980,100 s = 11 days, 8 hours, 15 minutes

In other bases

ternary (3) 1211210110000

quaternary (4) 3233102010

quinary (5) 222330400

senary (6) 33001300

septenary (7) 11221302

nonary (9) 1753400

undecimal (11) 60a400

duodecimal (12) 3b3230

tridecimal (13) 284154

tetradecimal (14) 1b7272

pentadecimal (15) 145600

As an angle

980,100° = 2,722 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢
Greek (Milesian): ͵ϡπρʹ
Chinese: 九十八萬零一百
Chinese (financial): 玖拾捌萬零壹佰

In other modern scripts

Eastern Arabic ٩٨٠١٠٠ Devanagari ९८०१०० Bengali ৯৮০১০০ Tamil ௯௮௦௧௦௦ Thai ๙๘๐๑๐๐ Tibetan ༩༨༠༡༠༠ Khmer ៩៨០១០០ Lao ໙໘໐໑໐໐ Burmese ၉၈၀၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980100, here are decompositions:

19 + 980081 = 980100
29 + 980071 = 980100
31 + 980069 = 980100
53 + 980047 = 980100
73 + 980027 = 980100
113 + 979987 = 980100
131 + 979969 = 980100
151 + 979949 = 980100

Showing the first eight; more decompositions exist.

Hex color

#0EF484

RGB(14, 244, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.244.132.

Address: 0.14.244.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.244.132

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 980,100 and was likely granted around 1910.

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

Look up US980,100 on Google Patents ↗ Look up on USPTO ↗