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960,960

960,960 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.).

960,960 (nine hundred sixty thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 224 divisors, and factors as 2⁶ × 3 × 5 × 7 × 11 × 13. Its proper divisors sum to 3,135,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEA9C0.

Abundant Number Arithmetic Number Flippable Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
69,069
Flips to (rotate 180°)
96,096
Square (n²)
923,444,121,600
Cube (n³)
887,392,863,092,736,000
Divisor count
224
σ(n) — sum of divisors
4,096,512
φ(n) — Euler's totient
184,320
Sum of prime factors
51

Primality

Prime factorization: 2 6 × 3 × 5 × 7 × 11 × 13

Nearest primes: 960,941 (−19) · 960,961 (+1)

Divisors & multiples

All divisors (224)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 11 · 12 · 13 · 14 · 15 · 16 · 20 · 21 · 22 · 24 · 26 · 28 · 30 · 32 · 33 · 35 · 39 · 40 · 42 · 44 · 48 · 52 · 55 · 56 · 60 · 64 · 65 · 66 · 70 · 77 · 78 · 80 · 84 · 88 · 91 · 96 · 104 · 105 · 110 · 112 · 120 · 130 · 132 · 140 · 143 · 154 · 156 · 160 · 165 · 168 · 176 · 182 · 192 · 195 · 208 · 210 · 220 · 224 · 231 · 240 · 260 · 264 · 273 · 280 · 286 · 308 · 312 · 320 · 330 · 336 · 352 · 364 · 385 · 390 · 416 · 420 · 429 · 440 · 448 · 455 · 462 · 480 · 520 · 528 · 546 · 560 · 572 · 616 · 624 · 660 · 672 · 704 · 715 · 728 · 770 · 780 · 832 · 840 · 858 · 880 · 910 · 924 · 960 · 1001 · 1040 · 1056 · 1092 · 1120 · 1144 · 1155 · 1232 · 1248 · 1320 · 1344 · 1365 · 1430 · 1456 · 1540 · 1560 · 1680 · 1716 · 1760 · 1820 · 1848 · 2002 · 2080 · 2112 · 2145 · 2184 · 2240 · 2288 · 2310 · 2464 · 2496 · 2640 · 2730 · 2860 · 2912 · 3003 · 3080 · 3120 · 3360 · 3432 · 3520 · 3640 · 3696 · 4004 · 4160 · 4290 · 4368 · 4576 · 4620 · 4928 · 5005 · 5280 · 5460 · 5720 · 5824 · 6006 · 6160 · 6240 · 6720 · 6864 · 7280 · 7392 · 8008 · 8580 · 8736 · 9152 · 9240 · 10010 · 10560 · 10920 · 11440 · 12012 · 12320 · 12480 · 13728 · 14560 · 14784 · 15015 · 16016 · 17160 · 17472 · 18480 · 20020 · 21840 · 22880 · 24024 · 24640 · 27456 · 29120 · 30030 · 32032 · 34320 · 36960 · 40040 · 43680 · 45760 · 48048 · 60060 · 64064 · 68640 · 73920 · 80080 · 87360 · 96096 · 120120 · 137280 · 160160 · 192192 · 240240 · 320320 · 480480 (half) · 960960
Aliquot sum (sum of proper divisors): 3,135,552
Factor pairs (a × b = 960,960)
1 × 960960
2 × 480480
3 × 320320
4 × 240240
5 × 192192
6 × 160160
7 × 137280
8 × 120120
10 × 96096
11 × 87360
12 × 80080
13 × 73920
14 × 68640
15 × 64064
16 × 60060
20 × 48048
21 × 45760
22 × 43680
24 × 40040
26 × 36960
28 × 34320
30 × 32032
32 × 30030
33 × 29120
35 × 27456
39 × 24640
40 × 24024
42 × 22880
44 × 21840
48 × 20020
52 × 18480
55 × 17472
56 × 17160
60 × 16016
64 × 15015
65 × 14784
66 × 14560
70 × 13728
77 × 12480
78 × 12320
80 × 12012
84 × 11440
88 × 10920
91 × 10560
96 × 10010
104 × 9240
105 × 9152
110 × 8736
112 × 8580
120 × 8008
130 × 7392
132 × 7280
140 × 6864
143 × 6720
154 × 6240
156 × 6160
160 × 6006
165 × 5824
168 × 5720
176 × 5460
182 × 5280
192 × 5005
195 × 4928
208 × 4620
210 × 4576
220 × 4368
224 × 4290
231 × 4160
240 × 4004
260 × 3696
264 × 3640
273 × 3520
280 × 3432
286 × 3360
308 × 3120
312 × 3080
320 × 3003
330 × 2912
336 × 2860
352 × 2730
364 × 2640
385 × 2496
390 × 2464
416 × 2310
420 × 2288
429 × 2240
440 × 2184
448 × 2145
455 × 2112
462 × 2080
480 × 2002
520 × 1848
528 × 1820
546 × 1760
560 × 1716
572 × 1680
616 × 1560
624 × 1540
660 × 1456
672 × 1430
704 × 1365
715 × 1344
728 × 1320
770 × 1248
780 × 1232
832 × 1155
840 × 1144
858 × 1120
880 × 1092
910 × 1056
924 × 1040
960 × 1001
First multiples
960,960 · 1,921,920 (double) · 2,882,880 · 3,843,840 · 4,804,800 · 5,765,760 · 6,726,720 · 7,687,680 · 8,648,640 · 9,609,600

Sums & aliquot sequence

As consecutive integers: 320,319 + 320,320 + 320,321 192,190 + 192,191 + 192,192 + 192,193 + 192,194 137,277 + 137,278 + … + 137,283 87,355 + 87,356 + … + 87,365
Aliquot sequence: 960,960 3,135,552 6,349,824 13,768,092 25,666,212 44,696,220 81,038,340 187,331,580 380,908,092 508,293,060 1,047,857,340 1,886,143,380 3,889,067,628 5,984,026,260 11,422,166,124 — keeps growing

Continued fraction of √n

√960,960 = [980; (3, 1, 1, 489, 1, 1, 3, 1960)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty thousand nine hundred sixty
Ordinal
960960th
Binary
11101010100111000000
Octal
3524700
Hexadecimal
0xEA9C0
Base64
DqnA
One's complement
4,294,006,335 (32-bit)
Scientific notation
9.6096 × 10⁵
As a duration
960,960 s = 11 days, 2 hours, 56 minutes
In other bases
ternary (3) 1210211012010
quaternary (4) 3222213000
quinary (5) 221222320
senary (6) 32332520
septenary (7) 11111430
nonary (9) 1724163
undecimal (11) 5a6a90
duodecimal (12) 3a4140
tridecimal (13) 278520
tetradecimal (14) 1b02c0
pentadecimal (15) 13eae0

As an angle

960,960° = 2,669 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡξϡξʹ
Chinese
九十六萬零九百六十
Chinese (financial)
玖拾陸萬零玖佰陸拾
In other modern scripts
Eastern Arabic ٩٦٠٩٦٠ Devanagari ९६०९६० Bengali ৯৬০৯৬০ Tamil ௯௬௦௯௬௦ Thai ๙๖๐๙๖๐ Tibetan ༩༦༠༩༦༠ Khmer ៩៦០៩៦០ Lao ໙໖໐໙໖໐ Burmese ၉၆၀၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960960, here are decompositions:

  • 19 + 960941 = 960960
  • 23 + 960937 = 960960
  • 29 + 960931 = 960960
  • 71 + 960889 = 960960
  • 97 + 960863 = 960960
  • 127 + 960833 = 960960
  • 131 + 960829 = 960960
  • 151 + 960809 = 960960

Showing the first eight; more decompositions exist.

Hex color
#0EA9C0
RGB(14, 169, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.169.192.

Address
0.14.169.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.169.192

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 960,960 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°.