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1,051,360

1,051,360 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.).

1,051,360 (one million fifty-one thousand three hundred sixty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,571. Its proper divisors sum to 1,432,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100AE0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
631,501
Square (n²)
1,105,357,849,600
Cube (n³)
1,162,129,028,755,456,000
Divisor count
24
σ(n) — sum of divisors
2,484,216
φ(n) — Euler's totient
420,480
Sum of prime factors
6,586

Primality

Prime factorization: 2 5 × 5 × 6571

Nearest primes: 1,051,333 (−27) · 1,051,373 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6571 · 13142 · 26284 · 32855 · 52568 · 65710 · 105136 · 131420 · 210272 · 262840 · 525680 (half) · 1051360
Aliquot sum (sum of proper divisors): 1,432,856
Factor pairs (a × b = 1,051,360)
1 × 1051360
2 × 525680
4 × 262840
5 × 210272
8 × 131420
10 × 105136
16 × 65710
20 × 52568
32 × 32855
40 × 26284
80 × 13142
160 × 6571
First multiples
1,051,360 · 2,102,720 (double) · 3,154,080 · 4,205,440 · 5,256,800 · 6,308,160 · 7,359,520 · 8,410,880 · 9,462,240 · 10,513,600

Sums & aliquot sequence

As consecutive integers: 210,270 + 210,271 + 210,272 + 210,273 + 210,274 16,396 + 16,397 + … + 16,459 3,126 + 3,127 + … + 3,445
Aliquot sequence: 1,051,360 1,432,856 1,253,764 1,011,324 1,383,684 1,895,004 2,895,236 2,469,592 2,187,368 1,972,792 1,726,208 2,038,840 2,548,640 3,833,512 3,354,338 2,383,702 1,414,298 — unresolved within range

Continued fraction of √n

√1,051,360 = [1025; (2, 1, 3, 1, 3, 21, 10, 3, 1, 6, 1, 56, 10, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, …)]

Representations

In words
one million fifty-one thousand three hundred sixty
Ordinal
1051360th
Binary
100000000101011100000
Octal
4005340
Hexadecimal
0x100AE0
Base64
EArg
One's complement
4,293,915,935 (32-bit)
Scientific notation
1.05136 × 10⁶
As a duration
1,051,360 s = 12 days, 4 hours, 2 minutes, 40 seconds
In other bases
ternary (3) 1222102012021
quaternary (4) 10000223200
quinary (5) 232120420
senary (6) 34311224
septenary (7) 11636122
nonary (9) 1872167
undecimal (11) 6589a2
duodecimal (12) 428514
tridecimal (13) 2aa70b
tetradecimal (14) 1d5212
pentadecimal (15) 15b7aa

As an angle

1,051,360° = 2,920 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬一千三百六十
Chinese (financial)
壹佰零伍萬壹仟參佰陸拾
In other modern scripts
Eastern Arabic ١٠٥١٣٦٠ Devanagari १०५१३६० Bengali ১০৫১৩৬০ Tamil ௧௦௫௧௩௬௦ Thai ๑๐๕๑๓๖๐ Tibetan ༡༠༥༡༣༦༠ Khmer ១០៥១៣៦០ Lao ໑໐໕໑໓໖໐ Burmese ၁၀၅၁၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051360, here are decompositions:

  • 41 + 1051319 = 1051360
  • 47 + 1051313 = 1051360
  • 59 + 1051301 = 1051360
  • 83 + 1051277 = 1051360
  • 113 + 1051247 = 1051360
  • 179 + 1051181 = 1051360
  • 281 + 1051079 = 1051360
  • 353 + 1051007 = 1051360

Showing the first eight; more decompositions exist.

Hex color
#100AE0
RGB(16, 10, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.224.

Address
0.16.10.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 1360 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1360-05-01 (DMMYYYY (Euro, single-digit day))
  • 1360-10-05 (MMDYYYY (US, single-digit day))
  • 1360-05-10 (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 1,051,360 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°.