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1,056,320

1,056,320 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.).

1,056,320 (one million fifty-six thousand three hundred twenty) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 3,301. Its proper divisors sum to 1,459,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101E40.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
236,501
Square (n²)
1,115,811,942,400
Cube (n³)
1,178,654,470,995,968,000
Divisor count
28
σ(n) — sum of divisors
2,516,124
φ(n) — Euler's totient
422,400
Sum of prime factors
3,318

Primality

Prime factorization: 2 6 × 5 × 3301

Nearest primes: 1,056,317 (−3) · 1,056,323 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 3301 · 6602 · 13204 · 16505 · 26408 · 33010 · 52816 · 66020 · 105632 · 132040 · 211264 · 264080 · 528160 (half) · 1056320
Aliquot sum (sum of proper divisors): 1,459,804
Factor pairs (a × b = 1,056,320)
1 × 1056320
2 × 528160
4 × 264080
5 × 211264
8 × 132040
10 × 105632
16 × 66020
20 × 52816
32 × 33010
40 × 26408
64 × 16505
80 × 13204
160 × 6602
320 × 3301
First multiples
1,056,320 · 2,112,640 (double) · 3,168,960 · 4,225,280 · 5,281,600 · 6,337,920 · 7,394,240 · 8,450,560 · 9,506,880 · 10,563,200

Sums & aliquot sequence

As a sum of two squares: 88² + 1,024² = 544² + 872²
As consecutive integers: 211,262 + 211,263 + 211,264 + 211,265 + 211,266 8,189 + 8,190 + … + 8,316 1,331 + 1,332 + … + 1,970
Aliquot sequence: 1,056,320 → 1,459,804 → 1,126,220 → 1,238,884 → 1,044,124 → 783,100 → 966,788 → 733,372 → 550,036 → 418,764 → 558,380 → 614,260 → 675,728 → 646,732 → 485,056 → 667,088 → 638,260 — unresolved within range

Continued fraction of √n

√1,056,320 = [1027; (1, 3, 2, 3, 10, 25, 1, 1, 2, 13, 1, 3, 2, 513, 2, 3, 1, 13, 2, 1, 1, 25, 10, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand three hundred twenty
Ordinal
1056320th
Binary
100000001111001000000
Octal
4017100
Hexadecimal
0x101E40
Base64
EB5A
One's complement
4,293,910,975 (32-bit)
Scientific notation
1.05632 × 10⁶
As a duration
1,056,320 s = 12 days, 5 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 1222122222222
quaternary (4) 10001321000
quinary (5) 232300240
senary (6) 34350212
septenary (7) 11656436
nonary (9) 1878888
undecimal (11) 6616a1
duodecimal (12) 42b368
tridecimal (13) 2aca55
tetradecimal (14) 1d6d56
pentadecimal (15) 15ceb5

As an angle

1,056,320° = 2,934 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬六千三百二十
Chinese (financial)
壹佰零伍萬陸仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٦٣٢٠ Devanagari १०५६३२० Bengali ১০৫৬৩২০ Tamil ௧௦௫௬௩௨௦ Thai ๑๐๕๖๓๒๐ Tibetan ༡༠༥༦༣༢༠ Khmer ១០៥៦៣២០ Lao ໑໐໕໖໓໒໐ Burmese ၁၀၅၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056320, here are decompositions:

  • 3 + 1056317 = 1056320
  • 73 + 1056247 = 1056320
  • 79 + 1056241 = 1056320
  • 103 + 1056217 = 1056320
  • 151 + 1056169 = 1056320
  • 211 + 1056109 = 1056320
  • 271 + 1056049 = 1056320
  • 313 + 1056007 = 1056320

Showing the first eight; more decompositions exist.

Hex color
#101E40
RGB(16, 30, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.30.64.

Address
0.16.30.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.30.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 6320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6320-05-01 (DMMYYYY (Euro, single-digit day))
  • 6320-10-05 (MMDYYYY (US, single-digit day))
  • 6320-05-10 (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 1,056,320 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°.