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999,120

999,120 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.).

999,120 (nine hundred ninety-nine thousand one hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 23 × 181. Its proper divisors sum to 2,250,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3ED0.

Abundant Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
21,999
Square (n²)
998,240,774,400
Cube (n³)
997,362,322,518,528,000
Divisor count
80
σ(n) — sum of divisors
3,249,792
φ(n) — Euler's totient
253,440
Sum of prime factors
220

Primality

Prime factorization: 2 4 × 3 × 5 × 23 × 181

Nearest primes: 999,101 (−19) · 999,133 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 30 · 40 · 46 · 48 · 60 · 69 · 80 · 92 · 115 · 120 · 138 · 181 · 184 · 230 · 240 · 276 · 345 · 362 · 368 · 460 · 543 · 552 · 690 · 724 · 905 · 920 · 1086 · 1104 · 1380 · 1448 · 1810 · 1840 · 2172 · 2715 · 2760 · 2896 · 3620 · 4163 · 4344 · 5430 · 5520 · 7240 · 8326 · 8688 · 10860 · 12489 · 14480 · 16652 · 20815 · 21720 · 24978 · 33304 · 41630 · 43440 · 49956 · 62445 · 66608 · 83260 · 99912 · 124890 · 166520 · 199824 · 249780 · 333040 · 499560 (half) · 999120
Aliquot sum (sum of proper divisors): 2,250,672
Factor pairs (a × b = 999,120)
1 × 999120
2 × 499560
3 × 333040
4 × 249780
5 × 199824
6 × 166520
8 × 124890
10 × 99912
12 × 83260
15 × 66608
16 × 62445
20 × 49956
23 × 43440
24 × 41630
30 × 33304
40 × 24978
46 × 21720
48 × 20815
60 × 16652
69 × 14480
80 × 12489
92 × 10860
115 × 8688
120 × 8326
138 × 7240
181 × 5520
184 × 5430
230 × 4344
240 × 4163
276 × 3620
345 × 2896
362 × 2760
368 × 2715
460 × 2172
543 × 1840
552 × 1810
690 × 1448
724 × 1380
905 × 1104
920 × 1086
First multiples
999,120 · 1,998,240 (double) · 2,997,360 · 3,996,480 · 4,995,600 · 5,994,720 · 6,993,840 · 7,992,960 · 8,992,080 · 9,991,200

Sums & aliquot sequence

As consecutive integers: 333,039 + 333,040 + 333,041 199,822 + 199,823 + 199,824 + 199,825 + 199,826 66,601 + 66,602 + … + 66,615 43,429 + 43,430 + … + 43,451
Aliquot sequence: 999,120 2,250,672 3,563,688 5,457,912 8,383,368 15,808,632 29,359,368 57,760,632 98,674,608 158,874,880 221,683,172 167,488,408 146,828,672 145,681,828 109,574,712 212,390,568 407,084,652 — unresolved within range

Continued fraction of √n

√999,120 = [999; (1, 1, 3, 1, 2, 16, 6, 5, 2, 1, 2, 6, 1, 1, 5, 31, 17, 1, 44, 2, 24, 2, 44, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-nine thousand one hundred twenty
Ordinal
999120th
Binary
11110011111011010000
Octal
3637320
Hexadecimal
0xF3ED0
Base64
Dz7Q
One's complement
4,293,968,175 (32-bit)
Scientific notation
9.9912 × 10⁵
As a duration
999,120 s = 11 days, 13 hours, 32 minutes
In other bases
ternary (3) 1212202112110
quaternary (4) 3303323100
quinary (5) 223432440
senary (6) 33225320
septenary (7) 11330613
nonary (9) 1782473
undecimal (11) 622721
duodecimal (12) 402240
tridecimal (13) 28c9c5
tetradecimal (14) 1c017a
pentadecimal (15) 14b080

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ϡϟθρκʹ
Chinese
九十九萬九千一百二十
Chinese (financial)
玖拾玖萬玖仟壹佰貳拾
In other modern scripts
Eastern Arabic ٩٩٩١٢٠ Devanagari ९९९१२० Bengali ৯৯৯১২০ Tamil ௯௯௯௧௨௦ Thai ๙๙๙๑๒๐ Tibetan ༩༩༩༡༢༠ Khmer ៩៩៩១២០ Lao ໙໙໙໑໒໐ Burmese ၉၉၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 999120, here are decompositions:

  • 19 + 999101 = 999120
  • 29 + 999091 = 999120
  • 37 + 999083 = 999120
  • 53 + 999067 = 999120
  • 71 + 999049 = 999120
  • 97 + 999023 = 999120
  • 113 + 999007 = 999120
  • 131 + 998989 = 999120

Showing the first eight; more decompositions exist.

Hex color
#0F3ED0
RGB(15, 62, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.208.

Address
0.15.62.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.62.208

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 999,120 and was likely granted around 1911.

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

Position in π

The digit sequence 999120 first appears in π at position 189,674 of the decimal expansion (the 189,674ordinal-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°.