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1,056,380

1,056,380 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.).

1,056,380 (one million fifty-six thousand three hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 17 × 239. Its proper divisors sum to 1,483,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101E7C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
836,501
Square (n²)
1,115,938,704,400
Cube (n³)
1,178,855,328,554,072,000
Divisor count
48
σ(n) — sum of divisors
2,540,160
φ(n) — Euler's totient
365,568
Sum of prime factors
278

Primality

Prime factorization: 2 2 × 5 × 13 × 17 × 239

Nearest primes: 1,056,379 (−1) · 1,056,401 (+21)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 13 · 17 · 20 · 26 · 34 · 52 · 65 · 68 · 85 · 130 · 170 · 221 · 239 · 260 · 340 · 442 · 478 · 884 · 956 · 1105 · 1195 · 2210 · 2390 · 3107 · 4063 · 4420 · 4780 · 6214 · 8126 · 12428 · 15535 · 16252 · 20315 · 31070 · 40630 · 52819 · 62140 · 81260 · 105638 · 211276 · 264095 · 528190 (half) · 1056380
Aliquot sum (sum of proper divisors): 1,483,780
Factor pairs (a × b = 1,056,380)
1 × 1056380
2 × 528190
4 × 264095
5 × 211276
10 × 105638
13 × 81260
17 × 62140
20 × 52819
26 × 40630
34 × 31070
52 × 20315
65 × 16252
68 × 15535
85 × 12428
130 × 8126
170 × 6214
221 × 4780
239 × 4420
260 × 4063
340 × 3107
442 × 2390
478 × 2210
884 × 1195
956 × 1105
First multiples
1,056,380 · 2,112,760 (double) · 3,169,140 · 4,225,520 · 5,281,900 · 6,338,280 · 7,394,660 · 8,451,040 · 9,507,420 · 10,563,800

Sums & aliquot sequence

As consecutive integers: 211,274 + 211,275 + 211,276 + 211,277 + 211,278 132,044 + 132,045 + … + 132,051 81,254 + 81,255 + … + 81,266 62,132 + 62,133 + … + 62,148
Aliquot sequence: 1,056,380 → 1,483,780 → 1,632,200 → 2,163,130 → 1,753,670 → 1,505,338 → 766,694 → 383,350 → 460,346 → 254,074 → 127,040 → 176,236 → 132,184 → 150,056 → 131,314 → 65,660 → 97,132 — unresolved within range

Continued fraction of √n

√1,056,380 = [1027; (1, 4, 11, 3, 1, 1, 10, 5, 5, 3, 1, 2, 3, 1, 4, 1, 2, 3, 2, 2, 1, 1, 4, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand three hundred eighty
Ordinal
1056380th
Binary
100000001111001111100
Octal
4017174
Hexadecimal
0x101E7C
Base64
EB58
One's complement
4,293,910,915 (32-bit)
Scientific notation
1.05638 × 10⁶
As a duration
1,056,380 s = 12 days, 5 hours, 26 minutes, 20 seconds
In other bases
ternary (3) 1222200002012
quaternary (4) 10001321330
quinary (5) 232301010
senary (6) 34350352
septenary (7) 11656553
nonary (9) 1880065
undecimal (11) 661746
duodecimal (12) 42b3b8
tridecimal (13) 2acaa0
tetradecimal (14) 1d6d9a
pentadecimal (15) 15d005

As an angle

1,056,380° = 2,934 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬六千三百八十
Chinese (financial)
壹佰零伍萬陸仟參佰捌拾
In other modern scripts
Eastern Arabic ١٠٥٦٣٨٠ Devanagari १०५६३८० Bengali ১০৫৬৩৮০ Tamil ௧௦௫௬௩௮௦ Thai ๑๐๕๖๓๘๐ Tibetan ༡༠༥༦༣༨༠ Khmer ១០៥៦៣៨០ Lao ໑໐໕໖໓໘໐ Burmese ၁၀၅၆၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056380, here are decompositions:

  • 7 + 1056373 = 1056380
  • 19 + 1056361 = 1056380
  • 109 + 1056271 = 1056380
  • 139 + 1056241 = 1056380
  • 163 + 1056217 = 1056380
  • 211 + 1056169 = 1056380
  • 271 + 1056109 = 1056380
  • 307 + 1056073 = 1056380

Showing the first eight; more decompositions exist.

Hex color
#101E7C
RGB(16, 30, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.30.124.

Address
0.16.30.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.30.124

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 6380 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6380-05-01 (DMMYYYY (Euro, single-digit day))
  • 6380-10-05 (MMDYYYY (US, single-digit day))
  • 6380-05-10 (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 1,056,380 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°.