number.wiki
Live analysis

966,240

966,240 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.).

966,240 (nine hundred sixty-six thousand two hundred forty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 11 × 61. Its proper divisors sum to 2,689,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEBE60.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
42,669
Square (n²)
933,619,737,600
Cube (n³)
902,100,735,258,624,000
Divisor count
144
σ(n) — sum of divisors
3,656,016
φ(n) — Euler's totient
230,400
Sum of prime factors
93

Primality

Prime factorization: 2 5 × 3 2 × 5 × 11 × 61

Nearest primes: 966,233 (−7) · 966,241 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 30 · 32 · 33 · 36 · 40 · 44 · 45 · 48 · 55 · 60 · 61 · 66 · 72 · 80 · 88 · 90 · 96 · 99 · 110 · 120 · 122 · 132 · 144 · 160 · 165 · 176 · 180 · 183 · 198 · 220 · 240 · 244 · 264 · 288 · 305 · 330 · 352 · 360 · 366 · 396 · 440 · 480 · 488 · 495 · 528 · 549 · 610 · 660 · 671 · 720 · 732 · 792 · 880 · 915 · 976 · 990 · 1056 · 1098 · 1220 · 1320 · 1342 · 1440 · 1464 · 1584 · 1760 · 1830 · 1952 · 1980 · 2013 · 2196 · 2440 · 2640 · 2684 · 2745 · 2928 · 3168 · 3355 · 3660 · 3960 · 4026 · 4392 · 4880 · 5280 · 5368 · 5490 · 5856 · 6039 · 6710 · 7320 · 7920 · 8052 · 8784 · 9760 · 10065 · 10736 · 10980 · 12078 · 13420 · 14640 · 15840 · 16104 · 17568 · 20130 · 21472 · 21960 · 24156 · 26840 · 29280 · 30195 · 32208 · 40260 · 43920 · 48312 · 53680 · 60390 · 64416 · 80520 · 87840 · 96624 · 107360 · 120780 · 161040 · 193248 · 241560 · 322080 · 483120 (half) · 966240
Aliquot sum (sum of proper divisors): 2,689,776
Factor pairs (a × b = 966,240)
1 × 966240
2 × 483120
3 × 322080
4 × 241560
5 × 193248
6 × 161040
8 × 120780
9 × 107360
10 × 96624
11 × 87840
12 × 80520
15 × 64416
16 × 60390
18 × 53680
20 × 48312
22 × 43920
24 × 40260
30 × 32208
32 × 30195
33 × 29280
36 × 26840
40 × 24156
44 × 21960
45 × 21472
48 × 20130
55 × 17568
60 × 16104
61 × 15840
66 × 14640
72 × 13420
80 × 12078
88 × 10980
90 × 10736
96 × 10065
99 × 9760
110 × 8784
120 × 8052
122 × 7920
132 × 7320
144 × 6710
160 × 6039
165 × 5856
176 × 5490
180 × 5368
183 × 5280
198 × 4880
220 × 4392
240 × 4026
244 × 3960
264 × 3660
288 × 3355
305 × 3168
330 × 2928
352 × 2745
360 × 2684
366 × 2640
396 × 2440
440 × 2196
480 × 2013
488 × 1980
495 × 1952
528 × 1830
549 × 1760
610 × 1584
660 × 1464
671 × 1440
720 × 1342
732 × 1320
792 × 1220
880 × 1098
915 × 1056
976 × 990
First multiples
966,240 · 1,932,480 (double) · 2,898,720 · 3,864,960 · 4,831,200 · 5,797,440 · 6,763,680 · 7,729,920 · 8,696,160 · 9,662,400

Sums & aliquot sequence

As consecutive integers: 322,079 + 322,080 + 322,081 193,246 + 193,247 + 193,248 + 193,249 + 193,250 107,356 + 107,357 + … + 107,364 87,835 + 87,836 + … + 87,845
Aliquot sequence: 966,240 2,689,776 4,838,264 4,405,456 4,906,448 4,599,826 4,708,046 3,390,898 2,541,902 1,715,890 1,835,150 1,819,378 1,157,822 670,378 394,394 403,942 381,722 — unresolved within range

Continued fraction of √n

√966,240 = [982; (1, 39, 8, 4, 1, 53, 1, 4, 8, 39, 1, 1964)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-six thousand two hundred forty
Ordinal
966240th
Binary
11101011111001100000
Octal
3537140
Hexadecimal
0xEBE60
Base64
Dr5g
One's complement
4,294,001,055 (32-bit)
Scientific notation
9.6624 × 10⁵
As a duration
966,240 s = 11 days, 4 hours, 24 minutes
In other bases
ternary (3) 1211002102200
quaternary (4) 3223321200
quinary (5) 221404430
senary (6) 32413200
septenary (7) 11133012
nonary (9) 1732380
undecimal (11) 5aaa50
duodecimal (12) 3a7200
tridecimal (13) 27aa52
tetradecimal (14) 1b21b2
pentadecimal (15) 141460

As an angle

966,240° = 2,684 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡξϛσμʹ
Chinese
九十六萬六千二百四十
Chinese (financial)
玖拾陸萬陸仟貳佰肆拾
In other modern scripts
Eastern Arabic ٩٦٦٢٤٠ Devanagari ९६६२४० Bengali ৯৬৬২৪০ Tamil ௯௬௬௨௪௦ Thai ๙๖๖๒๔๐ Tibetan ༩༦༦༢༤༠ Khmer ៩៦៦២៤០ Lao ໙໖໖໒໔໐ Burmese ၉၆၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966240, here are decompositions:

  • 7 + 966233 = 966240
  • 13 + 966227 = 966240
  • 19 + 966221 = 966240
  • 29 + 966211 = 966240
  • 31 + 966209 = 966240
  • 43 + 966197 = 966240
  • 83 + 966157 = 966240
  • 101 + 966139 = 966240

Showing the first eight; more decompositions exist.

Hex color
#0EBE60
RGB(14, 190, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.190.96.

Address
0.14.190.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.190.96

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 966,240 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°.