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1,011,080

1,011,080 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.).

1,011,080 (one million eleven thousand eighty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 23 × 157. Its proper divisors sum to 1,719,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D88.

Abundant Number Arithmetic Number Flippable Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
801,101
Flips to (rotate 180°)
801,101
Recamán's sequence
a(359,975) = 1,011,080
Square (n²)
1,022,282,766,400
Cube (n³)
1,033,609,659,451,712,000
Divisor count
64
σ(n) — sum of divisors
2,730,240
φ(n) — Euler's totient
329,472
Sum of prime factors
198

Primality

Prime factorization: 2 3 × 5 × 7 × 23 × 157

Nearest primes: 1,011,079 (−1) · 1,011,091 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 23 · 28 · 35 · 40 · 46 · 56 · 70 · 92 · 115 · 140 · 157 · 161 · 184 · 230 · 280 · 314 · 322 · 460 · 628 · 644 · 785 · 805 · 920 · 1099 · 1256 · 1288 · 1570 · 1610 · 2198 · 3140 · 3220 · 3611 · 4396 · 5495 · 6280 · 6440 · 7222 · 8792 · 10990 · 14444 · 18055 · 21980 · 25277 · 28888 · 36110 · 43960 · 50554 · 72220 · 101108 · 126385 · 144440 · 202216 · 252770 · 505540 (half) · 1011080
Aliquot sum (sum of proper divisors): 1,719,160
Factor pairs (a × b = 1,011,080)
1 × 1011080
2 × 505540
4 × 252770
5 × 202216
7 × 144440
8 × 126385
10 × 101108
14 × 72220
20 × 50554
23 × 43960
28 × 36110
35 × 28888
40 × 25277
46 × 21980
56 × 18055
70 × 14444
92 × 10990
115 × 8792
140 × 7222
157 × 6440
161 × 6280
184 × 5495
230 × 4396
280 × 3611
314 × 3220
322 × 3140
460 × 2198
628 × 1610
644 × 1570
785 × 1288
805 × 1256
920 × 1099
First multiples
1,011,080 · 2,022,160 (double) · 3,033,240 · 4,044,320 · 5,055,400 · 6,066,480 · 7,077,560 · 8,088,640 · 9,099,720 · 10,110,800

Sums & aliquot sequence

As consecutive integers: 202,214 + 202,215 + 202,216 + 202,217 + 202,218 144,437 + 144,438 + … + 144,443 63,185 + 63,186 + … + 63,200 43,949 + 43,950 + … + 43,971
Aliquot sequence: 1,011,080 1,719,160 2,149,040 2,847,664 2,669,716 2,889,152 3,664,048 3,435,076 2,576,314 1,585,466 821,638 410,822 259,210 308,168 352,312 323,048 337,912 — unresolved within range

Continued fraction of √n

√1,011,080 = [1005; (1, 1, 9, 1, 1, 1, 1, 6, 2, 10, 2, 6, 1, 1, 1, 1, 9, 1, 1, 2010)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million eleven thousand eighty
Ordinal
1011080th
Binary
11110110110110001000
Octal
3666610
Hexadecimal
0xF6D88
Base64
D22I
One's complement
4,293,956,215 (32-bit)
Scientific notation
1.01108 × 10⁶
As a duration
1,011,080 s = 11 days, 16 hours, 51 minutes, 20 seconds
In other bases
ternary (3) 1220100221102
quaternary (4) 3312312020
quinary (5) 224323310
senary (6) 33400532
septenary (7) 11410520
nonary (9) 1810842
undecimal (11) 630704
duodecimal (12) 409148
tridecimal (13) 295295
tetradecimal (14) 1c4680
pentadecimal (15) 14e8a5

As an angle

1,011,080° = 2,808 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零一萬一千零八十
Chinese (financial)
壹佰零壹萬壹仟零捌拾
In other modern scripts
Eastern Arabic ١٠١١٠٨٠ Devanagari १०११०८० Bengali ১০১১০৮০ Tamil ௧௦௧௧௦௮௦ Thai ๑๐๑๑๐๘๐ Tibetan ༡༠༡༡༠༨༠ Khmer ១០១១០៨០ Lao ໑໐໑໑໐໘໐ Burmese ၁၀၁၁၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011080, here are decompositions:

  • 3 + 1011077 = 1011080
  • 13 + 1011067 = 1011080
  • 43 + 1011037 = 1011080
  • 67 + 1011013 = 1011080
  • 79 + 1011001 = 1011080
  • 97 + 1010983 = 1011080
  • 151 + 1010929 = 1011080
  • 163 + 1010917 = 1011080

Showing the first eight; more decompositions exist.

Hex color
#0F6D88
RGB(15, 109, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.136.

Address
0.15.109.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 1080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1080-10-01 (MMDYYYY (US, single-digit day))
  • 1080-01-10 (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 1,011,080 and was likely granted around 1911.

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°.