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1,052,080

1,052,080 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.).

1,052,080 (one million fifty-two thousand eighty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 13,151. Its proper divisors sum to 1,394,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100DB0.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
802,501
Square (n²)
1,106,872,326,400
Cube (n³)
1,164,518,237,158,912,000
Divisor count
20
σ(n) — sum of divisors
2,446,272
φ(n) — Euler's totient
420,800
Sum of prime factors
13,164

Primality

Prime factorization: 2 4 × 5 × 13151

Nearest primes: 1,052,063 (−17) · 1,052,083 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 13151 · 26302 · 52604 · 65755 · 105208 · 131510 · 210416 · 263020 · 526040 (half) · 1052080
Aliquot sum (sum of proper divisors): 1,394,192
Factor pairs (a × b = 1,052,080)
1 × 1052080
2 × 526040
4 × 263020
5 × 210416
8 × 131510
10 × 105208
16 × 65755
20 × 52604
40 × 26302
80 × 13151
First multiples
1,052,080 · 2,104,160 (double) · 3,156,240 · 4,208,320 · 5,260,400 · 6,312,480 · 7,364,560 · 8,416,640 · 9,468,720 · 10,520,800

Sums & aliquot sequence

As consecutive integers: 210,414 + 210,415 + 210,416 + 210,417 + 210,418 32,862 + 32,863 + … + 32,893 6,496 + 6,497 + … + 6,655
Aliquot sequence: 1,052,080 1,394,192 1,343,728 1,259,776 1,847,104 2,785,856 3,310,144 3,258,550 2,802,446 1,454,674 895,226 455,578 227,792 233,488 218,926 138,770 111,034 — unresolved within range

Continued fraction of √n

√1,052,080 = [1025; (1, 2, 2, 3, 1, 5, 2, 5, 1, 13, 2, 2, 52, 5, 17, 25, 3, 1, 2, 1, 2, 1, 1, 4, …)]

Representations

In words
one million fifty-two thousand eighty
Ordinal
1052080th
Binary
100000000110110110000
Octal
4006660
Hexadecimal
0x100DB0
Base64
EA2w
One's complement
4,293,915,215 (32-bit)
Scientific notation
1.05208 × 10⁶
As a duration
1,052,080 s = 12 days, 4 hours, 14 minutes, 40 seconds
In other bases
ternary (3) 1222110011221
quaternary (4) 10000312300
quinary (5) 232131310
senary (6) 34314424
septenary (7) 11641201
nonary (9) 1873157
undecimal (11) 659497
duodecimal (12) 428a14
tridecimal (13) 2aab43
tetradecimal (14) 1d55a8
pentadecimal (15) 15bada

As an angle

1,052,080° = 2,922 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬二千零八十
Chinese (financial)
壹佰零伍萬貳仟零捌拾
In other modern scripts
Eastern Arabic ١٠٥٢٠٨٠ Devanagari १०५२०८० Bengali ১০৫২০৮০ Tamil ௧௦௫௨௦௮௦ Thai ๑๐๕๒๐๘๐ Tibetan ༡༠༥༢༠༨༠ Khmer ១០៥២០៨០ Lao ໑໐໕໒໐໘໐ Burmese ၁၀၅၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052080, here are decompositions:

  • 17 + 1052063 = 1052080
  • 41 + 1052039 = 1052080
  • 53 + 1052027 = 1052080
  • 89 + 1051991 = 1052080
  • 101 + 1051979 = 1052080
  • 131 + 1051949 = 1052080
  • 167 + 1051913 = 1052080
  • 191 + 1051889 = 1052080

Showing the first eight; more decompositions exist.

Hex color
#100DB0
RGB(16, 13, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.176.

Address
0.16.13.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 2080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2080-05-01 (DMMYYYY (Euro, single-digit day))
  • 2080-10-05 (MMDYYYY (US, single-digit day))
  • 2080-05-10 (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 1,052,080 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°.