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1,021,080

1,021,080 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.).

1,021,080 (one million twenty-one thousand eighty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 67 × 127. Its proper divisors sum to 2,112,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9498.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
801,201
Square (n²)
1,042,604,366,400
Cube (n³)
1,064,582,466,443,712,000
Divisor count
64
σ(n) — sum of divisors
3,133,440
φ(n) — Euler's totient
266,112
Sum of prime factors
208

Primality

Prime factorization: 2 3 × 3 × 5 × 67 × 127

Nearest primes: 1,021,073 (−7) · 1,021,081 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 67 · 120 · 127 · 134 · 201 · 254 · 268 · 335 · 381 · 402 · 508 · 536 · 635 · 670 · 762 · 804 · 1005 · 1016 · 1270 · 1340 · 1524 · 1608 · 1905 · 2010 · 2540 · 2680 · 3048 · 3810 · 4020 · 5080 · 7620 · 8040 · 8509 · 15240 · 17018 · 25527 · 34036 · 42545 · 51054 · 68072 · 85090 · 102108 · 127635 · 170180 · 204216 · 255270 · 340360 · 510540 (half) · 1021080
Aliquot sum (sum of proper divisors): 2,112,360
Factor pairs (a × b = 1,021,080)
1 × 1021080
2 × 510540
3 × 340360
4 × 255270
5 × 204216
6 × 170180
8 × 127635
10 × 102108
12 × 85090
15 × 68072
20 × 51054
24 × 42545
30 × 34036
40 × 25527
60 × 17018
67 × 15240
120 × 8509
127 × 8040
134 × 7620
201 × 5080
254 × 4020
268 × 3810
335 × 3048
381 × 2680
402 × 2540
508 × 2010
536 × 1905
635 × 1608
670 × 1524
762 × 1340
804 × 1270
1005 × 1016
First multiples
1,021,080 · 2,042,160 (double) · 3,063,240 · 4,084,320 · 5,105,400 · 6,126,480 · 7,147,560 · 8,168,640 · 9,189,720 · 10,210,800

Sums & aliquot sequence

As consecutive integers: 340,359 + 340,360 + 340,361 204,214 + 204,215 + 204,216 + 204,217 + 204,218 68,065 + 68,066 + … + 68,079 63,810 + 63,811 + … + 63,825
Aliquot sequence: 1,021,080 2,112,360 4,454,040 8,908,440 18,277,320 36,555,000 77,689,680 163,149,072 258,319,488 572,140,032 1,041,810,240 2,276,071,872 4,053,478,080 8,816,317,872 13,959,170,088 — keeps growing

Continued fraction of √n

√1,021,080 = [1010; (2, 16, 4, 1, 16, 5, 1, 1, 5, 1, 20, 2, 2, 1, 7, 1, 2, 1, 7, 1, 2, 2, 20, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand eighty
Ordinal
1021080th
Binary
11111001010010011000
Octal
3712230
Hexadecimal
0xF9498
Base64
D5SY
One's complement
4,293,946,215 (32-bit)
Scientific notation
1.02108 × 10⁶
As a duration
1,021,080 s = 11 days, 19 hours, 38 minutes
In other bases
ternary (3) 1220212122210
quaternary (4) 3321102120
quinary (5) 230133310
senary (6) 33515120
septenary (7) 11451624
nonary (9) 1825583
undecimal (11) 638175
duodecimal (12) 412aa0
tridecimal (13) 2999b8
tetradecimal (14) 1c8184
pentadecimal (15) 152820

As an angle

1,021,080° = 2,836 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零二萬一千零八十
Chinese (financial)
壹佰零貳萬壹仟零捌拾
In other modern scripts
Eastern Arabic ١٠٢١٠٨٠ Devanagari १०२१०८० Bengali ১০২১০৮০ Tamil ௧௦௨௧௦௮௦ Thai ๑๐๒๑๐๘๐ Tibetan ༡༠༢༡༠༨༠ Khmer ១០២១០៨០ Lao ໑໐໒໑໐໘໐ Burmese ၁၀၂၁၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021080, here are decompositions:

  • 7 + 1021073 = 1021080
  • 13 + 1021067 = 1021080
  • 37 + 1021043 = 1021080
  • 61 + 1021019 = 1021080
  • 79 + 1021001 = 1021080
  • 83 + 1020997 = 1021080
  • 89 + 1020991 = 1021080
  • 101 + 1020979 = 1021080

Showing the first eight; more decompositions exist.

Hex color
#0F9498
RGB(15, 148, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.152.

Address
0.15.148.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.148.152

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 1080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1080-02-01 (DMMYYYY (Euro, single-digit day))
  • 1080-10-02 (MMDYYYY (US, single-digit day))
  • 1080-02-10 (DDMYYYY (Euro, single-digit month))
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 1,021,080 and was likely granted around 1912.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.