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1,054,080

1,054,080 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.).

1,054,080 (one million fifty-four thousand eighty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3³ × 5 × 61. Its proper divisors sum to 2,740,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101580.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
804,501
Square (n²)
1,111,084,646,400
Cube (n³)
1,171,172,104,077,312,000
Divisor count
128
σ(n) — sum of divisors
3,794,400
φ(n) — Euler's totient
276,480
Sum of prime factors
89

Primality

Prime factorization: 2 7 × 3 3 × 5 × 61

Nearest primes: 1,054,073 (−7) · 1,054,091 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 60 · 61 · 64 · 72 · 80 · 90 · 96 · 108 · 120 · 122 · 128 · 135 · 144 · 160 · 180 · 183 · 192 · 216 · 240 · 244 · 270 · 288 · 305 · 320 · 360 · 366 · 384 · 432 · 480 · 488 · 540 · 549 · 576 · 610 · 640 · 720 · 732 · 864 · 915 · 960 · 976 · 1080 · 1098 · 1152 · 1220 · 1440 · 1464 · 1647 · 1728 · 1830 · 1920 · 1952 · 2160 · 2196 · 2440 · 2745 · 2880 · 2928 · 3294 · 3456 · 3660 · 3904 · 4320 · 4392 · 4880 · 5490 · 5760 · 5856 · 6588 · 7320 · 7808 · 8235 · 8640 · 8784 · 9760 · 10980 · 11712 · 13176 · 14640 · 16470 · 17280 · 17568 · 19520 · 21960 · 23424 · 26352 · 29280 · 32940 · 35136 · 39040 · 43920 · 52704 · 58560 · 65880 · 70272 · 87840 · 105408 · 117120 · 131760 · 175680 · 210816 · 263520 · 351360 · 527040 (half) · 1054080
Aliquot sum (sum of proper divisors): 2,740,320
Factor pairs (a × b = 1,054,080)
1 × 1054080
2 × 527040
3 × 351360
4 × 263520
5 × 210816
6 × 175680
8 × 131760
9 × 117120
10 × 105408
12 × 87840
15 × 70272
16 × 65880
18 × 58560
20 × 52704
24 × 43920
27 × 39040
30 × 35136
32 × 32940
36 × 29280
40 × 26352
45 × 23424
48 × 21960
54 × 19520
60 × 17568
61 × 17280
64 × 16470
72 × 14640
80 × 13176
90 × 11712
96 × 10980
108 × 9760
120 × 8784
122 × 8640
128 × 8235
135 × 7808
144 × 7320
160 × 6588
180 × 5856
183 × 5760
192 × 5490
216 × 4880
240 × 4392
244 × 4320
270 × 3904
288 × 3660
305 × 3456
320 × 3294
360 × 2928
366 × 2880
384 × 2745
432 × 2440
480 × 2196
488 × 2160
540 × 1952
549 × 1920
576 × 1830
610 × 1728
640 × 1647
720 × 1464
732 × 1440
864 × 1220
915 × 1152
960 × 1098
976 × 1080
First multiples
1,054,080 · 2,108,160 (double) · 3,162,240 · 4,216,320 · 5,270,400 · 6,324,480 · 7,378,560 · 8,432,640 · 9,486,720 · 10,540,800

Sums & aliquot sequence

As consecutive integers: 351,359 + 351,360 + 351,361 210,814 + 210,815 + 210,816 + 210,817 + 210,818 117,116 + 117,117 + … + 117,124 70,265 + 70,266 + … + 70,279
Aliquot sequence: 1,054,080 2,740,320 7,520,112 13,526,160 28,405,680 60,945,744 96,497,552 92,835,568 112,729,152 185,533,904 173,938,066 87,536,378 43,808,902 21,904,454 20,431,546 10,450,118 7,882,042 — unresolved within range

Continued fraction of √n

√1,054,080 = [1026; (1, 2, 6, 11, 1, 127, 2, 2, 1, 1, 5, 1, 5, 513, 5, 1, 5, 1, 1, 2, 2, 127, 1, 11, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million fifty-four thousand eighty
Ordinal
1054080th
Binary
100000001010110000000
Octal
4012600
Hexadecimal
0x101580
Base64
EBWA
One's complement
4,293,913,215 (32-bit)
Scientific notation
1.05408 × 10⁶
As a duration
1,054,080 s = 12 days, 4 hours, 48 minutes
In other bases
ternary (3) 1222112221000
quaternary (4) 10001112000
quinary (5) 232212310
senary (6) 34332000
septenary (7) 11650056
nonary (9) 1875830
undecimal (11) 65aa45
duodecimal (12) 42a000
tridecimal (13) 2aba21
tetradecimal (14) 1d61d6
pentadecimal (15) 15c4c0

As an angle

1,054,080° = 2,928 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬四千零八十
Chinese (financial)
壹佰零伍萬肆仟零捌拾
In other modern scripts
Eastern Arabic ١٠٥٤٠٨٠ Devanagari १०५४०८० Bengali ১০৫৪০৮০ Tamil ௧௦௫௪௦௮௦ Thai ๑๐๕๔๐๘๐ Tibetan ༡༠༥༤༠༨༠ Khmer ១០៥៤០៨០ Lao ໑໐໕໔໐໘໐ Burmese ၁၀၅၄၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054080, here are decompositions:

  • 7 + 1054073 = 1054080
  • 19 + 1054061 = 1054080
  • 31 + 1054049 = 1054080
  • 37 + 1054043 = 1054080
  • 47 + 1054033 = 1054080
  • 67 + 1054013 = 1054080
  • 73 + 1054007 = 1054080
  • 89 + 1053991 = 1054080

Showing the first eight; more decompositions exist.

Hex color
#101580
RGB(16, 21, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.128.

Address
0.16.21.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.21.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 4080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4080-05-01 (DMMYYYY (Euro, single-digit day))
  • 4080-10-05 (MMDYYYY (US, single-digit day))
  • 4080-05-10 (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 1,054,080 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°.