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1,056,960

1,056,960 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.).

1,056,960 (one million fifty-six thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 367. Its proper divisors sum to 2,588,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1020C0.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
696,501
Square (n²)
1,117,164,441,600
Cube (n³)
1,180,798,128,193,536,000
Divisor count
84
σ(n) — sum of divisors
3,645,408
φ(n) — Euler's totient
281,088
Sum of prime factors
390

Primality

Prime factorization: 2 6 × 3 2 × 5 × 367

Nearest primes: 1,056,959 (−1) · 1,056,971 (+11)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 192 · 240 · 288 · 320 · 360 · 367 · 480 · 576 · 720 · 734 · 960 · 1101 · 1440 · 1468 · 1835 · 2202 · 2880 · 2936 · 3303 · 3670 · 4404 · 5505 · 5872 · 6606 · 7340 · 8808 · 11010 · 11744 · 13212 · 14680 · 16515 · 17616 · 22020 · 23488 · 26424 · 29360 · 33030 · 35232 · 44040 · 52848 · 58720 · 66060 · 70464 · 88080 · 105696 · 117440 · 132120 · 176160 · 211392 · 264240 · 352320 · 528480 (half) · 1056960
Aliquot sum (sum of proper divisors): 2,588,448
Factor pairs (a × b = 1,056,960)
1 × 1056960
2 × 528480
3 × 352320
4 × 264240
5 × 211392
6 × 176160
8 × 132120
9 × 117440
10 × 105696
12 × 88080
15 × 70464
16 × 66060
18 × 58720
20 × 52848
24 × 44040
30 × 35232
32 × 33030
36 × 29360
40 × 26424
45 × 23488
48 × 22020
60 × 17616
64 × 16515
72 × 14680
80 × 13212
90 × 11744
96 × 11010
120 × 8808
144 × 7340
160 × 6606
180 × 5872
192 × 5505
240 × 4404
288 × 3670
320 × 3303
360 × 2936
367 × 2880
480 × 2202
576 × 1835
720 × 1468
734 × 1440
960 × 1101
First multiples
1,056,960 · 2,113,920 (double) · 3,170,880 · 4,227,840 · 5,284,800 · 6,341,760 · 7,398,720 · 8,455,680 · 9,512,640 · 10,569,600

Sums & aliquot sequence

As consecutive integers: 352,319 + 352,320 + 352,321 211,390 + 211,391 + 211,392 + 211,393 + 211,394 117,436 + 117,437 + … + 117,444 70,457 + 70,458 + … + 70,471
Aliquot sequence: 1,056,960 → 2,588,448 → 4,336,512 → 7,707,648 → 14,530,960 → 19,770,416 → 18,534,796 → 18,881,044 → 21,786,604 → 22,784,580 → 63,544,572 → 150,823,764 → 326,857,440 → 964,178,880 → 2,649,529,920 → 5,819,642,880 → 12,794,170,272 — keeps growing

Continued fraction of √n

√1,056,960 = [1028; (11, 1, 2, 6, 1, 3, 2, 1, 1, 1, 1, 41, 2, 1, 6, 1, 1, 3, 28, 1, 2, 10, 6, 1, …)]

Representations

In words
one million fifty-six thousand nine hundred sixty
Ordinal
1056960th
Binary
100000010000011000000
Octal
4020300
Hexadecimal
0x1020C0
Base64
ECDA
One's complement
4,293,910,335 (32-bit)
Scientific notation
1.05696 × 10⁶
As a duration
1,056,960 s = 12 days, 5 hours, 36 minutes
In other bases
ternary (3) 1222200212200
quaternary (4) 10002003000
quinary (5) 232310320
senary (6) 34353200
septenary (7) 11661342
nonary (9) 1880780
undecimal (11) 662123
duodecimal (12) 42b800
tridecimal (13) 2b0128
tetradecimal (14) 1d7292
pentadecimal (15) 15d290

As an angle

1,056,960° = 2,936 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬六千九百六十
Chinese (financial)
壹佰零伍萬陸仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠٥٦٩٦٠ Devanagari १०५६९६० Bengali ১০৫৬৯৬০ Tamil ௧௦௫௬௯௬௦ Thai ๑๐๕๖๙๖๐ Tibetan ༡༠༥༦༩༦༠ Khmer ១០៥៦៩៦០ Lao ໑໐໕໖໙໖໐ Burmese ၁၀၅၆၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056960, here are decompositions:

  • 11 + 1056949 = 1056960
  • 31 + 1056929 = 1056960
  • 43 + 1056917 = 1056960
  • 67 + 1056893 = 1056960
  • 89 + 1056871 = 1056960
  • 97 + 1056863 = 1056960
  • 127 + 1056833 = 1056960
  • 131 + 1056829 = 1056960

Showing the first eight; more decompositions exist.

Hex color
#1020C0
RGB(16, 32, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.32.192.

Address
0.16.32.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.32.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 6960 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6960-05-01 (DMMYYYY (Euro, single-digit day))
  • 6960-10-05 (MMDYYYY (US, single-digit day))
  • 6960-05-10 (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 1,056,960 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1056960 first appears in π at position 30,600 of the decimal expansion (the 30,600ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.