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1,056,064

1,056,064 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.).

1,056,064 (one million fifty-six thousand sixty-four) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 29 × 569. Its proper divisors sum to 1,115,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D40.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
4,606,501
Square (n²)
1,115,271,172,096
Cube (n³)
1,177,797,735,088,390,144
Divisor count
28
σ(n) — sum of divisors
2,171,700
φ(n) — Euler's totient
508,928
Sum of prime factors
610

Primality

Prime factorization: 2 6 × 29 × 569

Nearest primes: 1,056,061 (−3) · 1,056,071 (+7)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 64 · 116 · 232 · 464 · 569 · 928 · 1138 · 1856 · 2276 · 4552 · 9104 · 16501 · 18208 · 33002 · 36416 · 66004 · 132008 · 264016 · 528032 (half) · 1056064
Aliquot sum (sum of proper divisors): 1,115,636
Factor pairs (a × b = 1,056,064)
1 × 1056064
2 × 528032
4 × 264016
8 × 132008
16 × 66004
29 × 36416
32 × 33002
58 × 18208
64 × 16501
116 × 9104
232 × 4552
464 × 2276
569 × 1856
928 × 1138
First multiples
1,056,064 · 2,112,128 (double) · 3,168,192 · 4,224,256 · 5,280,320 · 6,336,384 · 7,392,448 · 8,448,512 · 9,504,576 · 10,560,640

Sums & aliquot sequence

As a sum of two squares: 200² + 1,008² = 592² + 840²
As consecutive integers: 36,402 + 36,403 + … + 36,430 8,187 + 8,188 + … + 8,314 1,572 + 1,573 + … + 2,140
Aliquot sequence: 1,056,064 → 1,115,636 → 836,734 → 422,546 → 226,858 → 124,502 → 88,954 → 46,406 → 23,206 → 12,578 → 7,342 → 3,674 → 2,374 → 1,190 → 1,402 → 704 → 820 — unresolved within range

Continued fraction of √n

√1,056,064 = [1027; (1, 1, 1, 5, 1, 8, 1, 61, 2, 1, 1, 1, 1, 3, 1, 35, 3, 1, 1, 1, 3, 1, 7, 2, …)]

Representations

In words
one million fifty-six thousand sixty-four
Ordinal
1056064th
Binary
100000001110101000000
Octal
4016500
Hexadecimal
0x101D40
Base64
EB1A
One's complement
4,293,911,231 (32-bit)
Scientific notation
1.056064 × 10⁶
As a duration
1,056,064 s = 12 days, 5 hours, 21 minutes, 4 seconds
In other bases
ternary (3) 1222122122111
quaternary (4) 10001311000
quinary (5) 232243224
senary (6) 34345104
septenary (7) 11655622
nonary (9) 1878574
undecimal (11) 661489
duodecimal (12) 42b194
tridecimal (13) 2ac8b9
tetradecimal (14) 1d6c12
pentadecimal (15) 15cd94

As an angle

1,056,064° = 2,933 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千零六十四
Chinese (financial)
壹佰零伍萬陸仟零陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٦٠٦٤ Devanagari १०५६०६४ Bengali ১০৫৬০৬৪ Tamil ௧௦௫௬௦௬௪ Thai ๑๐๕๖๐๖๔ Tibetan ༡༠༥༦༠༦༤ Khmer ១០៥៦០៦៤ Lao ໑໐໕໖໐໖໔ Burmese ၁၀၅၆၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056064, here are decompositions:

  • 3 + 1056061 = 1056064
  • 11 + 1056053 = 1056064
  • 17 + 1056047 = 1056064
  • 83 + 1055981 = 1056064
  • 131 + 1055933 = 1056064
  • 167 + 1055897 = 1056064
  • 197 + 1055867 = 1056064
  • 263 + 1055801 = 1056064

Showing the first eight; more decompositions exist.

Hex color
#101D40
RGB(16, 29, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.64.

Address
0.16.29.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 6064 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6064-05-01 (DMMYYYY (Euro, single-digit day))
  • 6064-10-05 (MMDYYYY (US, single-digit day))
  • 6064-05-10 (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 1,056,064 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°.