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1,064,052

1,064,052 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.).

1,064,052 (one million sixty-four thousand fifty-two) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 2,687. Its proper divisors sum to 1,871,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103C74.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious 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
2,504,601
Square (n²)
1,132,206,658,704
Cube (n³)
1,204,726,759,607,308,608
Divisor count
36
σ(n) — sum of divisors
2,935,296
φ(n) — Euler's totient
322,320
Sum of prime factors
2,708

Primality

Prime factorization: 2 2 × 3 2 × 11 × 2687

Nearest primes: 1,064,029 (−23) · 1,064,059 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 · 396 · 2687 · 5374 · 8061 · 10748 · 16122 · 24183 · 29557 · 32244 · 48366 · 59114 · 88671 · 96732 · 118228 · 177342 · 266013 · 354684 · 532026 (half) · 1064052
Aliquot sum (sum of proper divisors): 1,871,244
Factor pairs (a × b = 1,064,052)
1 × 1064052
2 × 532026
3 × 354684
4 × 266013
6 × 177342
9 × 118228
11 × 96732
12 × 88671
18 × 59114
22 × 48366
33 × 32244
36 × 29557
44 × 24183
66 × 16122
99 × 10748
132 × 8061
198 × 5374
396 × 2687
First multiples
1,064,052 · 2,128,104 (double) · 3,192,156 · 4,256,208 · 5,320,260 · 6,384,312 · 7,448,364 · 8,512,416 · 9,576,468 · 10,640,520

Sums & aliquot sequence

As consecutive integers: 354,683 + 354,684 + 354,685 133,003 + 133,004 + … + 133,010 118,224 + 118,225 + … + 118,232 96,727 + 96,728 + … + 96,737
Aliquot sequence: 1,064,052 → 1,871,244 → 2,944,476 → 4,590,324 → 7,942,476 → 10,589,996 → 7,942,504 → 7,017,116 → 5,955,844 → 5,063,164 → 4,003,740 → 9,755,460 → 25,101,180 → 61,856,964 → 106,532,712 → 241,227,288 → 432,368,712 — unresolved within range

Continued fraction of √n

√1,064,052 = [1031; (1, 1, 8, 7, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 1, 4, 24, 1, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one million sixty-four thousand fifty-two
Ordinal
1064052nd
Binary
100000011110001110100
Octal
4036164
Hexadecimal
0x103C74
Base64
EDx0
One's complement
4,293,903,243 (32-bit)
Scientific notation
1.064052 × 10⁶
As a duration
1,064,052 s = 12 days, 7 hours, 34 minutes, 12 seconds
In other bases
ternary (3) 2000001121100
quaternary (4) 10003301310
quinary (5) 233022202
senary (6) 34450100
septenary (7) 12021123
nonary (9) 2001540
undecimal (11) 667490
duodecimal (12) 433930
tridecimal (13) 2b3422
tetradecimal (14) 1d9aba
pentadecimal (15) 16041c

As an angle

1,064,052° = 2,955 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零六萬四千零五十二
Chinese (financial)
壹佰零陸萬肆仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠٦٤٠٥٢ Devanagari १०६४०५२ Bengali ১০৬৪০৫২ Tamil ௧௦௬௪௦௫௨ Thai ๑๐๖๔๐๕๒ Tibetan ༡༠༦༤༠༥༢ Khmer ១០៦៤០៥២ Lao ໑໐໖໔໐໕໒ Burmese ၁၀၆၄၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064052, here are decompositions:

  • 23 + 1064029 = 1064052
  • 53 + 1063999 = 1064052
  • 79 + 1063973 = 1064052
  • 83 + 1063969 = 1064052
  • 89 + 1063963 = 1064052
  • 131 + 1063921 = 1064052
  • 139 + 1063913 = 1064052
  • 149 + 1063903 = 1064052

Showing the first eight; more decompositions exist.

Hex color
#103C74
RGB(16, 60, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.60.116.

Address
0.16.60.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.60.116

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 6, 4052 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4052-06-01 (DMMYYYY (Euro, single-digit day))
  • 4052-10-06 (MMDYYYY (US, single-digit day))
  • 4052-06-10 (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 1,064,052 and was likely granted around 1913.

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°.