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990,528

990,528 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.).

990,528 (nine hundred ninety thousand five hundred twenty-eight) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 7 × 11 × 67. Its proper divisors sum to 2,325,696, more than the number itself, making it an abundant number. It is the 1,407th triangular number. Written other ways, in hexadecimal, 0xF1D40.

Abundant Number Harshad / Niven Hexagonal Odious Number Practical Number Refactorable Number Triangular Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
825,099
Square (n²)
981,145,718,784
Cube (n³)
971,852,306,535,677,952
Divisor count
112
σ(n) — sum of divisors
3,316,224
φ(n) — Euler's totient
253,440
Sum of prime factors
100

Primality

Prime factorization: 2 6 × 3 × 7 × 11 × 67

Nearest primes: 990,523 (−5) · 990,529 (+1)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 21 · 22 · 24 · 28 · 32 · 33 · 42 · 44 · 48 · 56 · 64 · 66 · 67 · 77 · 84 · 88 · 96 · 112 · 132 · 134 · 154 · 168 · 176 · 192 · 201 · 224 · 231 · 264 · 268 · 308 · 336 · 352 · 402 · 448 · 462 · 469 · 528 · 536 · 616 · 672 · 704 · 737 · 804 · 924 · 938 · 1056 · 1072 · 1232 · 1344 · 1407 · 1474 · 1608 · 1848 · 1876 · 2112 · 2144 · 2211 · 2464 · 2814 · 2948 · 3216 · 3696 · 3752 · 4288 · 4422 · 4928 · 5159 · 5628 · 5896 · 6432 · 7392 · 7504 · 8844 · 10318 · 11256 · 11792 · 12864 · 14784 · 15008 · 15477 · 17688 · 20636 · 22512 · 23584 · 30016 · 30954 · 35376 · 41272 · 45024 · 47168 · 61908 · 70752 · 82544 · 90048 · 123816 · 141504 · 165088 · 247632 · 330176 · 495264 (half) · 990528
Aliquot sum (sum of proper divisors): 2,325,696
Factor pairs (a × b = 990,528)
1 × 990528
2 × 495264
3 × 330176
4 × 247632
6 × 165088
7 × 141504
8 × 123816
11 × 90048
12 × 82544
14 × 70752
16 × 61908
21 × 47168
22 × 45024
24 × 41272
28 × 35376
32 × 30954
33 × 30016
42 × 23584
44 × 22512
48 × 20636
56 × 17688
64 × 15477
66 × 15008
67 × 14784
77 × 12864
84 × 11792
88 × 11256
96 × 10318
112 × 8844
132 × 7504
134 × 7392
154 × 6432
168 × 5896
176 × 5628
192 × 5159
201 × 4928
224 × 4422
231 × 4288
264 × 3752
268 × 3696
308 × 3216
336 × 2948
352 × 2814
402 × 2464
448 × 2211
462 × 2144
469 × 2112
528 × 1876
536 × 1848
616 × 1608
672 × 1474
704 × 1407
737 × 1344
804 × 1232
924 × 1072
938 × 1056
First multiples
990,528 · 1,981,056 (double) · 2,971,584 · 3,962,112 · 4,952,640 · 5,943,168 · 6,933,696 · 7,924,224 · 8,914,752 · 9,905,280

Sums & aliquot sequence

As consecutive integers: 330,175 + 330,176 + 330,177 141,501 + 141,502 + … + 141,507 90,043 + 90,044 + … + 90,053 47,158 + 47,159 + … + 47,178
Aliquot sequence: 990,528 2,325,696 3,828,216 7,110,024 10,665,096 18,049,464 30,834,696 46,630,104 76,081,896 165,233,304 293,748,696 502,974,504 903,197,016 1,600,836,984 2,932,791,336 5,203,924,524 8,522,371,332 — unresolved within range

Continued fraction of √n

√990,528 = [995; (3, 1, 22, 7, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 7, 22, 1, 3, 1990)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand five hundred twenty-eight
Ordinal
990528th
Binary
11110001110101000000
Octal
3616500
Hexadecimal
0xF1D40
Base64
Dx1A
One's complement
4,293,976,767 (32-bit)
Scientific notation
9.90528 × 10⁵
As a duration
990,528 s = 11 days, 11 hours, 8 minutes, 48 seconds
In other bases
ternary (3) 1212022202020
quaternary (4) 3301311000
quinary (5) 223144103
senary (6) 33121440
septenary (7) 11263560
nonary (9) 1768666
undecimal (11) 617220
duodecimal (12) 3b9280
tridecimal (13) 288b16
tetradecimal (14) 1bada0
pentadecimal (15) 148753

As an angle

990,528° = 2,751 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟφκηʹ
Chinese
九十九萬零五百二十八
Chinese (financial)
玖拾玖萬零伍佰貳拾捌
In other modern scripts
Eastern Arabic ٩٩٠٥٢٨ Devanagari ९९०५२८ Bengali ৯৯০৫২৮ Tamil ௯௯௦௫௨௮ Thai ๙๙๐๕๒๘ Tibetan ༩༩༠༥༢༨ Khmer ៩៩០៥២៨ Lao ໙໙໐໕໒໘ Burmese ၉၉၀၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990528, here are decompositions:

  • 5 + 990523 = 990528
  • 17 + 990511 = 990528
  • 31 + 990497 = 990528
  • 41 + 990487 = 990528
  • 59 + 990469 = 990528
  • 131 + 990397 = 990528
  • 139 + 990389 = 990528
  • 151 + 990377 = 990528

Showing the first eight; more decompositions exist.

Hex color
#0F1D40
RGB(15, 29, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.29.64.

Address
0.15.29.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.29.64

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 990,528 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 990528 first appears in π at position 864,554 of the decimal expansion (the 864,554ordinal-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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.