Live analysis

990,120

990,120 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.).

990,120 (nine hundred ninety thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 37 × 223. Its proper divisors sum to 2,074,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1BA8.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

990,108 990,109 990,110 990,111 990,112 990,113 990,114 990,115 990,116 990,117 990,118 990,119 990,120 990,121 990,122 990,123 990,124 990,125 990,126 990,127 990,128 990,129 990,130 990,131 990,132

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Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 21,099
Square (n²): 980,337,614,400
Cube (n³): 970,651,878,769,728,000
Divisor count: 64
σ(n) — sum of divisors: 3,064,320
φ(n) — Euler's totient: 255,744
Sum of prime factors: 274

Primality

Prime factorization: 2 ³ × 3 × 5 × 37 × 223

Nearest primes: 990,053 (−67) · 990,137 (+17)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 37 · 40 · 60 · 74 · 111 · 120 · 148 · 185 · 222 · 223 · 296 · 370 · 444 · 446 · 555 · 669 · 740 · 888 · 892 · 1110 · 1115 · 1338 · 1480 · 1784 · 2220 · 2230 · 2676 · 3345 · 4440 · 4460 · 5352 · 6690 · 8251 · 8920 · 13380 · 16502 · 24753 · 26760 · 33004 · 41255 · 49506 · 66008 · 82510 · 99012 · 123765 · 165020 · 198024 · 247530 · 330040 · 495060 (half) · 990120

Aliquot sum (sum of proper divisors): 2,074,200

Factor pairs (a × b = 990,120)

1 × 990120

2 × 495060

3 × 330040

4 × 247530

5 × 198024

6 × 165020

8 × 123765

10 × 99012

12 × 82510

15 × 66008

20 × 49506

24 × 41255

30 × 33004

37 × 26760

40 × 24753

60 × 16502

74 × 13380

111 × 8920

120 × 8251

148 × 6690

185 × 5352

222 × 4460

223 × 4440

296 × 3345

370 × 2676

444 × 2230

446 × 2220

555 × 1784

669 × 1480

740 × 1338

888 × 1115

892 × 1110

First multiples

990,120 · 1,980,240 (double) · 2,970,360 · 3,960,480 · 4,950,600 · 5,940,720 · 6,930,840 · 7,920,960 · 8,911,080 · 9,901,200

Sums & aliquot sequence

As consecutive integers: 330,039 + 330,040 + 330,041 198,022 + 198,023 + 198,024 + 198,025 + 198,026 66,001 + 66,002 + … + 66,015 61,875 + 61,876 + … + 61,890

Aliquot sequence: 990,120 → 2,074,200 → 4,357,680 → 9,403,344 → 17,588,976 → 27,849,336 → 42,469,464 → 64,000,536 → 105,648,804 → 163,913,580 → 333,291,492 → 509,195,426 → 267,119,098 → 135,222,842 → 77,061,958 → 38,753,570 → 33,408,790 — unresolved within range

Continued fraction of √n

√990,120 = [995; (20, 1, 18, 5, 2, 5, 1, 2, 1, 11, 27, 1, 16, 1, 27, 11, 1, 2, 1, 5, 2, 5, 18, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety thousand one hundred twenty
Ordinal: 990120th
Binary: 11110001101110101000
Octal: 3615650
Hexadecimal: 0xF1BA8
Base64: Dxuo
One's complement: 4,293,977,175 (32-bit)
Scientific notation: 9.9012 × 10⁵
As a duration: 990,120 s = 11 days, 11 hours, 2 minutes

In other bases

ternary (3) 1212022012010

quaternary (4) 3301232220

quinary (5) 223140440

senary (6) 33115520

septenary (7) 11262435

nonary (9) 1768163

undecimal (11) 61698a

duodecimal (12) 3b8ba0

tridecimal (13) 288891

tetradecimal (14) 1bab8c

pentadecimal (15) 148580

As an angle

990,120° = 2,750 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆
Greek (Milesian): ͵ϡϟρκʹ
Chinese: 九十九萬零一百二十
Chinese (financial): 玖拾玖萬零壹佰貳拾

In other modern scripts

Eastern Arabic ٩٩٠١٢٠ Devanagari ९९०१२० Bengali ৯৯০১২০ Tamil ௯௯௦௧௨௦ Thai ๙๙๐๑๒๐ Tibetan ༩༩༠༡༢༠ Khmer ៩៩០១២០ Lao ໙໙໐໑໒໐ Burmese ၉၉၀၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990120, here are decompositions:

67 + 990053 = 990120
83 + 990037 = 990120
97 + 990023 = 990120
107 + 990013 = 990120
139 + 989981 = 990120
149 + 989971 = 990120
181 + 989939 = 990120
191 + 989929 = 990120

Showing the first eight; more decompositions exist.

Hex color

#0F1BA8

RGB(15, 27, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.168.

Address: 0.15.27.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.27.168

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 990,120 and was likely granted around 1911.

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

Look up US990,120 on Google Patents ↗ Look up on USPTO ↗