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960,768

960,768 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.).

960,768 (nine hundred sixty thousand seven hundred sixty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3³ × 139. Its proper divisors sum to 1,900,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEA900.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
867,069
Square (n²)
923,075,149,824
Cube (n³)
886,861,065,546,104,832
Divisor count
72
σ(n) — sum of divisors
2,861,600
φ(n) — Euler's totient
317,952
Sum of prime factors
164

Primality

Prime factorization: 2 8 × 3 3 × 139

Nearest primes: 960,763 (−5) · 960,793 (+25)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 96 · 108 · 128 · 139 · 144 · 192 · 216 · 256 · 278 · 288 · 384 · 417 · 432 · 556 · 576 · 768 · 834 · 864 · 1112 · 1152 · 1251 · 1668 · 1728 · 2224 · 2304 · 2502 · 3336 · 3456 · 3753 · 4448 · 5004 · 6672 · 6912 · 7506 · 8896 · 10008 · 13344 · 15012 · 17792 · 20016 · 26688 · 30024 · 35584 · 40032 · 53376 · 60048 · 80064 · 106752 · 120096 · 160128 · 240192 · 320256 · 480384 (half) · 960768
Aliquot sum (sum of proper divisors): 1,900,832
Factor pairs (a × b = 960,768)
1 × 960768
2 × 480384
3 × 320256
4 × 240192
6 × 160128
8 × 120096
9 × 106752
12 × 80064
16 × 60048
18 × 53376
24 × 40032
27 × 35584
32 × 30024
36 × 26688
48 × 20016
54 × 17792
64 × 15012
72 × 13344
96 × 10008
108 × 8896
128 × 7506
139 × 6912
144 × 6672
192 × 5004
216 × 4448
256 × 3753
278 × 3456
288 × 3336
384 × 2502
417 × 2304
432 × 2224
556 × 1728
576 × 1668
768 × 1251
834 × 1152
864 × 1112
First multiples
960,768 · 1,921,536 (double) · 2,882,304 · 3,843,072 · 4,803,840 · 5,764,608 · 6,725,376 · 7,686,144 · 8,646,912 · 9,607,680

Sums & aliquot sequence

As consecutive integers: 320,255 + 320,256 + 320,257 106,748 + 106,749 + … + 106,756 35,571 + 35,572 + … + 35,597 6,843 + 6,844 + … + 6,981
Aliquot sequence: 960,768 1,900,832 1,873,120 2,753,600 4,025,914 2,012,960 2,958,496 2,968,544 2,875,840 5,170,880 9,422,944 9,128,540 10,041,436 7,573,364 6,459,760 8,559,368 7,489,462 — unresolved within range

Continued fraction of √n

√960,768 = [980; (5, 3, 16, 6, 4, 1, 20, 1, 1, 122, 85, 4, 2, 3, 3, 1, 4, 1, 4, 1, 1, 489, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty thousand seven hundred sixty-eight
Ordinal
960768th
Binary
11101010100100000000
Octal
3524400
Hexadecimal
0xEA900
Base64
DqkA
One's complement
4,294,006,527 (32-bit)
Scientific notation
9.60768 × 10⁵
As a duration
960,768 s = 11 days, 2 hours, 52 minutes, 48 seconds
In other bases
ternary (3) 1210210221000
quaternary (4) 3222210000
quinary (5) 221221033
senary (6) 32332000
septenary (7) 11111034
nonary (9) 1723830
undecimal (11) 5a6926
duodecimal (12) 3a4000
tridecimal (13) 278403
tetradecimal (14) 1b01c4
pentadecimal (15) 13ea13

As an angle

960,768° = 2,668 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡξψξηʹ
Chinese
九十六萬零七百六十八
Chinese (financial)
玖拾陸萬零柒佰陸拾捌
In other modern scripts
Eastern Arabic ٩٦٠٧٦٨ Devanagari ९६०७६८ Bengali ৯৬০৭৬৮ Tamil ௯௬௦௭௬௮ Thai ๙๖๐๗๖๘ Tibetan ༩༦༠༧༦༨ Khmer ៩៦០៧៦៨ Lao ໙໖໐໗໖໘ Burmese ၉၆၀၇၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960768, here are decompositions:

  • 5 + 960763 = 960768
  • 31 + 960737 = 960768
  • 59 + 960709 = 960768
  • 101 + 960667 = 960768
  • 131 + 960637 = 960768
  • 167 + 960601 = 960768
  • 181 + 960587 = 960768
  • 199 + 960569 = 960768

Showing the first eight; more decompositions exist.

Hex color
#0EA900
RGB(14, 169, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.169.0.

Address
0.14.169.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.169.0

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

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 960,768 and was likely granted around 1910.

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°.