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1,052,820

1,052,820 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.).

1,052,820 (one million fifty-two thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 5,849. Its proper divisors sum to 2,141,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101094.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
282,501
Square (n²)
1,108,429,952,400
Cube (n³)
1,166,977,222,485,768,000
Divisor count
36
σ(n) — sum of divisors
3,194,100
φ(n) — Euler's totient
280,704
Sum of prime factors
5,864

Primality

Prime factorization: 2 2 × 3 2 × 5 × 5849

Nearest primes: 1,052,819 (−1) · 1,052,851 (+31)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 5849 · 11698 · 17547 · 23396 · 29245 · 35094 · 52641 · 58490 · 70188 · 87735 · 105282 · 116980 · 175470 · 210564 · 263205 · 350940 · 526410 (half) · 1052820
Aliquot sum (sum of proper divisors): 2,141,280
Factor pairs (a × b = 1,052,820)
1 × 1052820
2 × 526410
3 × 350940
4 × 263205
5 × 210564
6 × 175470
9 × 116980
10 × 105282
12 × 87735
15 × 70188
18 × 58490
20 × 52641
30 × 35094
36 × 29245
45 × 23396
60 × 17547
90 × 11698
180 × 5849
First multiples
1,052,820 · 2,105,640 (double) · 3,158,460 · 4,211,280 · 5,264,100 · 6,316,920 · 7,369,740 · 8,422,560 · 9,475,380 · 10,528,200

Sums & aliquot sequence

As a sum of two squares: 12² + 1,026² = 606² + 828²
As consecutive integers: 350,939 + 350,940 + 350,941 210,562 + 210,563 + 210,564 + 210,565 + 210,566 131,599 + 131,600 + … + 131,606 116,976 + 116,977 + … + 116,984
Aliquot sequence: 1,052,820 2,141,280 5,170,752 10,044,864 19,490,256 35,055,794 18,419,326 9,379,658 4,689,832 5,490,968 6,658,792 7,610,168 6,717,112 6,185,288 5,492,212 4,993,004 3,868,324 — unresolved within range

Continued fraction of √n

√1,052,820 = [1026; (14, 3, 1, 127, 1, 1, 56, 1, 1, 127, 1, 3, 14, 2052)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand eight hundred twenty
Ordinal
1052820th
Binary
100000001000010010100
Octal
4010224
Hexadecimal
0x101094
Base64
EBCU
One's complement
4,293,914,475 (32-bit)
Scientific notation
1.05282 × 10⁶
As a duration
1,052,820 s = 12 days, 4 hours, 27 minutes
In other bases
ternary (3) 1222111012100
quaternary (4) 10001002110
quinary (5) 232142240
senary (6) 34322100
septenary (7) 11643306
nonary (9) 1874170
undecimal (11) 659aaa
duodecimal (12) 429330
tridecimal (13) 2ab292
tetradecimal (14) 1d5976
pentadecimal (15) 15be30

As an angle

1,052,820° = 2,924 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬二千八百二十
Chinese (financial)
壹佰零伍萬貳仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٢٨٢٠ Devanagari १०५२८२० Bengali ১০৫২৮২০ Tamil ௧௦௫௨௮௨௦ Thai ๑๐๕๒๘๒๐ Tibetan ༡༠༥༢༨༢༠ Khmer ១០៥២៨២០ Lao ໑໐໕໒໘໒໐ Burmese ၁၀၅၂၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052820, here are decompositions:

  • 7 + 1052813 = 1052820
  • 17 + 1052803 = 1052820
  • 19 + 1052801 = 1052820
  • 23 + 1052797 = 1052820
  • 53 + 1052767 = 1052820
  • 73 + 1052747 = 1052820
  • 89 + 1052731 = 1052820
  • 101 + 1052719 = 1052820

Showing the first eight; more decompositions exist.

Hex color
#101094
RGB(16, 16, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.16.148.

Address
0.16.16.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.16.148

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 2820 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2820-05-01 (DMMYYYY (Euro, single-digit day))
  • 2820-10-05 (MMDYYYY (US, single-digit day))
  • 2820-05-10 (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 1,052,820 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°.