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1,056,164

1,056,164 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.).

1,056,164 (one million fifty-six thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 73 × 3,617. Written other ways, in hexadecimal, 0x101DA4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
4,616,501
Square (n²)
1,115,482,394,896
Cube (n³)
1,178,132,348,122,938,944
Divisor count
12
σ(n) — sum of divisors
1,874,124
φ(n) — Euler's totient
520,704
Sum of prime factors
3,694

Primality

Prime factorization: 2 2 × 73 × 3617

Nearest primes: 1,056,161 (−3) · 1,056,169 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 73 · 146 · 292 · 3617 · 7234 · 14468 · 264041 · 528082 (half) · 1056164
Aliquot sum (sum of proper divisors): 817,960
Factor pairs (a × b = 1,056,164)
1 × 1056164
2 × 528082
4 × 264041
73 × 14468
146 × 7234
292 × 3617
First multiples
1,056,164 · 2,112,328 (double) · 3,168,492 · 4,224,656 · 5,280,820 · 6,336,984 · 7,393,148 · 8,449,312 · 9,505,476 · 10,561,640

Sums & aliquot sequence

As a sum of two squares: 392² + 950² = 458² + 920²
As consecutive integers: 132,017 + 132,018 + … + 132,024 14,432 + 14,433 + … + 14,504 1,517 + 1,518 + … + 2,100
Aliquot sequence: 1,056,164 → 817,960 → 1,372,550 → 1,215,826 → 687,278 → 343,642 → 211,514 → 124,474 → 101,894 → 62,746 → 32,474 → 20,026 → 14,534 → 9,622 → 5,714 → 2,860 → 4,196 — unresolved within range

Continued fraction of √n

√1,056,164 = [1027; (1, 2, 3, 5, 1, 18, 64, 5, 1, 1, 1, 1, 1, 1, 25, 2, 2, 31, 1, 2, 2, 81, 1, 3, …)]

Representations

In words
one million fifty-six thousand one hundred sixty-four
Ordinal
1056164th
Binary
100000001110110100100
Octal
4016644
Hexadecimal
0x101DA4
Base64
EB2k
One's complement
4,293,911,131 (32-bit)
Scientific notation
1.056164 × 10⁶
As a duration
1,056,164 s = 12 days, 5 hours, 22 minutes, 44 seconds
In other bases
ternary (3) 1222122210012
quaternary (4) 10001312210
quinary (5) 232244124
senary (6) 34345352
septenary (7) 11656124
nonary (9) 1878705
undecimal (11) 66156a
duodecimal (12) 42b258
tridecimal (13) 2ac965
tetradecimal (14) 1d6c84
pentadecimal (15) 15ce0e

As an angle

1,056,164° = 2,933 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千一百六十四
Chinese (financial)
壹佰零伍萬陸仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٦١٦٤ Devanagari १०५६१६४ Bengali ১০৫৬১৬৪ Tamil ௧௦௫௬௧௬௪ Thai ๑๐๕๖๑๖๔ Tibetan ༡༠༥༦༡༦༤ Khmer ១០៥៦១៦៤ Lao ໑໐໕໖໑໖໔ Burmese ၁၀၅၆၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056164, here are decompositions:

  • 3 + 1056161 = 1056164
  • 103 + 1056061 = 1056164
  • 157 + 1056007 = 1056164
  • 271 + 1055893 = 1056164
  • 283 + 1055881 = 1056164
  • 313 + 1055851 = 1056164
  • 337 + 1055827 = 1056164
  • 433 + 1055731 = 1056164

Showing the first eight; more decompositions exist.

Hex color
#101DA4
RGB(16, 29, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.164.

Address
0.16.29.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.164

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 6164 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6164-05-01 (DMMYYYY (Euro, single-digit day))
  • 6164-10-05 (MMDYYYY (US, single-digit day))
  • 6164-05-10 (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 1,056,164 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°.