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990,010

990,010 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.).

990,010 (nine hundred ninety thousand ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 14,143. Its proper divisors sum to 1,046,726, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1B3A.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Self Number Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
10,099
Flips to (rotate 180°)
10,066
Square (n²)
980,119,800,100
Cube (n³)
970,328,403,297,001,000
Divisor count
16
σ(n) — sum of divisors
2,036,736
φ(n) — Euler's totient
339,408
Sum of prime factors
14,157

Primality

Prime factorization: 2 × 5 × 7 × 14143

Nearest primes: 990,001 (−9) · 990,013 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 14143 · 28286 · 70715 · 99001 · 141430 · 198002 · 495005 (half) · 990010
Aliquot sum (sum of proper divisors): 1,046,726
Factor pairs (a × b = 990,010)
1 × 990010
2 × 495005
5 × 198002
7 × 141430
10 × 99001
14 × 70715
35 × 28286
70 × 14143
First multiples
990,010 · 1,980,020 (double) · 2,970,030 · 3,960,040 · 4,950,050 · 5,940,060 · 6,930,070 · 7,920,080 · 8,910,090 · 9,900,100

Sums & aliquot sequence

As consecutive integers: 247,501 + 247,502 + 247,503 + 247,504 198,000 + 198,001 + 198,002 + 198,003 + 198,004 141,427 + 141,428 + … + 141,433 49,491 + 49,492 + … + 49,510
Aliquot sequence: 990,010 1,046,726 577,594 305,306 155,098 77,552 77,944 68,216 59,704 59,096 54,304 52,670 46,690 56,990 48,850 42,104 41,296 — unresolved within range

Continued fraction of √n

√990,010 = [994; (1, 131, 1, 1, 1, 220, 2, 3, 1, 13, 1, 25, 1, 23, 1, 1, 1, 1, 7, 1, 1, 1, 9, 2, …)]

Representations

In words
nine hundred ninety thousand ten
Ordinal
990010th
Binary
11110001101100111010
Octal
3615472
Hexadecimal
0xF1B3A
Base64
Dxs6
One's complement
4,293,977,285 (32-bit)
Scientific notation
9.9001 × 10⁵
As a duration
990,010 s = 11 days, 11 hours, 10 seconds
In other bases
ternary (3) 1212022001001
quaternary (4) 3301230322
quinary (5) 223140020
senary (6) 33115214
septenary (7) 11262220
nonary (9) 1768031
undecimal (11) 61689a
duodecimal (12) 3b8b0a
tridecimal (13) 288808
tetradecimal (14) 1bab10
pentadecimal (15) 14850a

As an angle

990,010° = 2,750 × 360° + 10°
10° ≈ 0.175 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆
Greek (Milesian)
͵ϡϟιʹ
Chinese
九十九萬零一十
Chinese (financial)
玖拾玖萬零壹拾
In other modern scripts
Eastern Arabic ٩٩٠٠١٠ Devanagari ९९००१० Bengali ৯৯০০১০ Tamil ௯௯௦௦௧௦ Thai ๙๙๐๐๑๐ Tibetan ༩༩༠༠༡༠ Khmer ៩៩០០១០ Lao ໙໙໐໐໑໐ Burmese ၉၉၀၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990010, here are decompositions:

  • 11 + 989999 = 990010
  • 29 + 989981 = 990010
  • 59 + 989951 = 990010
  • 71 + 989939 = 990010
  • 89 + 989921 = 990010
  • 101 + 989909 = 990010
  • 137 + 989873 = 990010
  • 173 + 989837 = 990010

Showing the first eight; more decompositions exist.

Hex color
#0F1B3A
RGB(15, 27, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.58.

Address
0.15.27.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.27.58

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 990,010 and was likely granted around 1911.

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

Position in π

The digit sequence 990010 first appears in π at position 244,590 of the decimal expansion (the 244,590ordinal-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°.