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990,024

990,024 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.).

990,024 (nine hundred ninety thousand twenty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 71 × 83. Its proper divisors sum to 1,913,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1B48.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
420,099
Square (n²)
980,147,520,576
Cube (n³)
970,369,568,910,733,824
Divisor count
64
σ(n) — sum of divisors
2,903,040
φ(n) — Euler's totient
275,520
Sum of prime factors
170

Primality

Prime factorization: 2 3 × 3 × 7 × 71 × 83

Nearest primes: 990,023 (−1) · 990,037 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 71 · 83 · 84 · 142 · 166 · 168 · 213 · 249 · 284 · 332 · 426 · 497 · 498 · 568 · 581 · 664 · 852 · 994 · 996 · 1162 · 1491 · 1704 · 1743 · 1988 · 1992 · 2324 · 2982 · 3486 · 3976 · 4648 · 5893 · 5964 · 6972 · 11786 · 11928 · 13944 · 17679 · 23572 · 35358 · 41251 · 47144 · 70716 · 82502 · 123753 · 141432 · 165004 · 247506 · 330008 · 495012 (half) · 990024
Aliquot sum (sum of proper divisors): 1,913,016
Factor pairs (a × b = 990,024)
1 × 990024
2 × 495012
3 × 330008
4 × 247506
6 × 165004
7 × 141432
8 × 123753
12 × 82502
14 × 70716
21 × 47144
24 × 41251
28 × 35358
42 × 23572
56 × 17679
71 × 13944
83 × 11928
84 × 11786
142 × 6972
166 × 5964
168 × 5893
213 × 4648
249 × 3976
284 × 3486
332 × 2982
426 × 2324
497 × 1992
498 × 1988
568 × 1743
581 × 1704
664 × 1491
852 × 1162
994 × 996
First multiples
990,024 · 1,980,048 (double) · 2,970,072 · 3,960,096 · 4,950,120 · 5,940,144 · 6,930,168 · 7,920,192 · 8,910,216 · 9,900,240

Sums & aliquot sequence

As consecutive integers: 330,007 + 330,008 + 330,009 141,429 + 141,430 + … + 141,435 61,869 + 61,870 + … + 61,884 47,134 + 47,135 + … + 47,154
Aliquot sequence: 990,024 1,913,016 3,674,184 5,829,816 8,804,184 13,206,336 29,185,248 47,426,280 123,991,320 259,993,320 521,261,400 1,241,572,200 3,140,290,200 6,594,611,280 13,848,684,432 — keeps growing

Continued fraction of √n

√990,024 = [994; (1, 1988)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand twenty-four
Ordinal
990024th
Binary
11110001101101001000
Octal
3615510
Hexadecimal
0xF1B48
Base64
DxtI
One's complement
4,293,977,271 (32-bit)
Scientific notation
9.90024 × 10⁵
As a duration
990,024 s = 11 days, 11 hours, 24 seconds
In other bases
ternary (3) 1212022001120
quaternary (4) 3301231020
quinary (5) 223140044
senary (6) 33115240
septenary (7) 11262240
nonary (9) 1768046
undecimal (11) 616902
duodecimal (12) 3b8b20
tridecimal (13) 288819
tetradecimal (14) 1bab20
pentadecimal (15) 148519

As an angle

990,024° = 2,750 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟκδʹ
Chinese
九十九萬零二十四
Chinese (financial)
玖拾玖萬零貳拾肆
In other modern scripts
Eastern Arabic ٩٩٠٠٢٤ Devanagari ९९००२४ Bengali ৯৯০০২৪ Tamil ௯௯௦௦௨௪ Thai ๙๙๐๐๒๔ Tibetan ༩༩༠༠༢༤ Khmer ៩៩០០២៤ Lao ໙໙໐໐໒໔ Burmese ၉၉၀၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990024, here are decompositions:

  • 11 + 990013 = 990024
  • 23 + 990001 = 990024
  • 43 + 989981 = 990024
  • 47 + 989977 = 990024
  • 53 + 989971 = 990024
  • 73 + 989951 = 990024
  • 103 + 989921 = 990024
  • 107 + 989917 = 990024

Showing the first eight; more decompositions exist.

Hex color
#0F1B48
RGB(15, 27, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.72.

Address
0.15.27.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.27.72

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 990,024 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 990024 first appears in π at position 454,313 of the decimal expansion (the 454,313ordinal-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°.