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990,432

990,432 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.).

990,432 (nine hundred ninety thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 19 × 181. Its proper divisors sum to 1,990,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1CE0.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
234,099
Square (n²)
980,955,546,624
Cube (n³)
971,569,763,953,901,568
Divisor count
72
σ(n) — sum of divisors
2,981,160
φ(n) — Euler's totient
311,040
Sum of prime factors
216

Primality

Prime factorization: 2 5 × 3 2 × 19 × 181

Nearest primes: 990,397 (−35) · 990,463 (+31)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 32 · 36 · 38 · 48 · 57 · 72 · 76 · 96 · 114 · 144 · 152 · 171 · 181 · 228 · 288 · 304 · 342 · 362 · 456 · 543 · 608 · 684 · 724 · 912 · 1086 · 1368 · 1448 · 1629 · 1824 · 2172 · 2736 · 2896 · 3258 · 3439 · 4344 · 5472 · 5792 · 6516 · 6878 · 8688 · 10317 · 13032 · 13756 · 17376 · 20634 · 26064 · 27512 · 30951 · 41268 · 52128 · 55024 · 61902 · 82536 · 110048 · 123804 · 165072 · 247608 · 330144 · 495216 (half) · 990432
Aliquot sum (sum of proper divisors): 1,990,728
Factor pairs (a × b = 990,432)
1 × 990432
2 × 495216
3 × 330144
4 × 247608
6 × 165072
8 × 123804
9 × 110048
12 × 82536
16 × 61902
18 × 55024
19 × 52128
24 × 41268
32 × 30951
36 × 27512
38 × 26064
48 × 20634
57 × 17376
72 × 13756
76 × 13032
96 × 10317
114 × 8688
144 × 6878
152 × 6516
171 × 5792
181 × 5472
228 × 4344
288 × 3439
304 × 3258
342 × 2896
362 × 2736
456 × 2172
543 × 1824
608 × 1629
684 × 1448
724 × 1368
912 × 1086
First multiples
990,432 · 1,980,864 (double) · 2,971,296 · 3,961,728 · 4,952,160 · 5,942,592 · 6,933,024 · 7,923,456 · 8,913,888 · 9,904,320

Sums & aliquot sequence

As consecutive integers: 330,143 + 330,144 + 330,145 110,044 + 110,045 + … + 110,052 52,119 + 52,120 + … + 52,137 17,348 + 17,349 + … + 17,404
Aliquot sequence: 990,432 1,990,728 3,534,792 5,302,248 10,274,712 19,609,248 35,258,208 57,294,840 122,071,560 295,603,320 594,508,200 1,636,599,000 3,469,599,240 6,939,198,840 17,620,519,560 — keeps growing

Continued fraction of √n

√990,432 = [995; (4, 1, 8, 11, 1, 1, 1, 39, 1, 26, 3, 2, 3, 1, 6, 6, 4, 1, 2, 1, 2, 16, 11, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand four hundred thirty-two
Ordinal
990432nd
Binary
11110001110011100000
Octal
3616340
Hexadecimal
0xF1CE0
Base64
Dxzg
One's complement
4,293,976,863 (32-bit)
Scientific notation
9.90432 × 10⁵
As a duration
990,432 s = 11 days, 11 hours, 7 minutes, 12 seconds
In other bases
ternary (3) 1212022121200
quaternary (4) 3301303200
quinary (5) 223143212
senary (6) 33121200
septenary (7) 11263362
nonary (9) 1768550
undecimal (11) 617143
duodecimal (12) 3b9200
tridecimal (13) 288a71
tetradecimal (14) 1bad32
pentadecimal (15) 1486dc

As an angle

990,432° = 2,751 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡϟυλβʹ
Chinese
九十九萬零四百三十二
Chinese (financial)
玖拾玖萬零肆佰參拾貳
In other modern scripts
Eastern Arabic ٩٩٠٤٣٢ Devanagari ९९०४३२ Bengali ৯৯০৪৩২ Tamil ௯௯௦௪௩௨ Thai ๙๙๐๔๓๒ Tibetan ༩༩༠༤༣༢ Khmer ៩៩០៤៣២ Lao ໙໙໐໔໓໒ Burmese ၉၉၀၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990432, here are decompositions:

  • 43 + 990389 = 990432
  • 61 + 990371 = 990432
  • 71 + 990361 = 990432
  • 73 + 990359 = 990432
  • 83 + 990349 = 990432
  • 101 + 990331 = 990432
  • 103 + 990329 = 990432
  • 109 + 990323 = 990432

Showing the first eight; more decompositions exist.

Hex color
#0F1CE0
RGB(15, 28, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.28.224.

Address
0.15.28.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.28.224

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 990,432 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 990432 first appears in π at position 138,745 of the decimal expansion (the 138,745ordinal-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°.