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987,360

987,360 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.).

987,360 (nine hundred eighty-seven thousand three hundred sixty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3 × 5 × 11² × 17. Its proper divisors sum to 2,632,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF10E0.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
63,789
Square (n²)
974,879,769,600
Cube (n³)
962,557,289,312,256,000
Divisor count
144
σ(n) — sum of divisors
3,619,728
φ(n) — Euler's totient
225,280
Sum of prime factors
57

Primality

Prime factorization: 2 5 × 3 × 5 × 11 2 × 17

Nearest primes: 987,353 (−7) · 987,361 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 17 · 20 · 22 · 24 · 30 · 32 · 33 · 34 · 40 · 44 · 48 · 51 · 55 · 60 · 66 · 68 · 80 · 85 · 88 · 96 · 102 · 110 · 120 · 121 · 132 · 136 · 160 · 165 · 170 · 176 · 187 · 204 · 220 · 240 · 242 · 255 · 264 · 272 · 330 · 340 · 352 · 363 · 374 · 408 · 440 · 480 · 484 · 510 · 528 · 544 · 561 · 605 · 660 · 680 · 726 · 748 · 816 · 880 · 935 · 968 · 1020 · 1056 · 1122 · 1210 · 1320 · 1360 · 1452 · 1496 · 1632 · 1760 · 1815 · 1870 · 1936 · 2040 · 2057 · 2244 · 2420 · 2640 · 2720 · 2805 · 2904 · 2992 · 3630 · 3740 · 3872 · 4080 · 4114 · 4488 · 4840 · 5280 · 5610 · 5808 · 5984 · 6171 · 7260 · 7480 · 8160 · 8228 · 8976 · 9680 · 10285 · 11220 · 11616 · 12342 · 14520 · 14960 · 16456 · 17952 · 19360 · 20570 · 22440 · 24684 · 29040 · 29920 · 30855 · 32912 · 41140 · 44880 · 49368 · 58080 · 61710 · 65824 · 82280 · 89760 · 98736 · 123420 · 164560 · 197472 · 246840 · 329120 · 493680 (half) · 987360
Aliquot sum (sum of proper divisors): 2,632,368
Factor pairs (a × b = 987,360)
1 × 987360
2 × 493680
3 × 329120
4 × 246840
5 × 197472
6 × 164560
8 × 123420
10 × 98736
11 × 89760
12 × 82280
15 × 65824
16 × 61710
17 × 58080
20 × 49368
22 × 44880
24 × 41140
30 × 32912
32 × 30855
33 × 29920
34 × 29040
40 × 24684
44 × 22440
48 × 20570
51 × 19360
55 × 17952
60 × 16456
66 × 14960
68 × 14520
80 × 12342
85 × 11616
88 × 11220
96 × 10285
102 × 9680
110 × 8976
120 × 8228
121 × 8160
132 × 7480
136 × 7260
160 × 6171
165 × 5984
170 × 5808
176 × 5610
187 × 5280
204 × 4840
220 × 4488
240 × 4114
242 × 4080
255 × 3872
264 × 3740
272 × 3630
330 × 2992
340 × 2904
352 × 2805
363 × 2720
374 × 2640
408 × 2420
440 × 2244
480 × 2057
484 × 2040
510 × 1936
528 × 1870
544 × 1815
561 × 1760
605 × 1632
660 × 1496
680 × 1452
726 × 1360
748 × 1320
816 × 1210
880 × 1122
935 × 1056
968 × 1020
First multiples
987,360 · 1,974,720 (double) · 2,962,080 · 3,949,440 · 4,936,800 · 5,924,160 · 6,911,520 · 7,898,880 · 8,886,240 · 9,873,600

Sums & aliquot sequence

As consecutive integers: 329,119 + 329,120 + 329,121 197,470 + 197,471 + 197,472 + 197,473 + 197,474 89,755 + 89,756 + … + 89,765 65,817 + 65,818 + … + 65,831
Aliquot sequence: 987,360 2,632,368 4,228,800 9,660,936 14,891,064 22,336,656 36,600,048 71,861,760 177,095,520 513,616,320 1,538,906,880 4,078,201,344 8,992,628,736 20,527,178,112 — keeps growing

Continued fraction of √n

√987,360 = [993; (1, 1, 1, 15, 1, 3, 8, 16, 3, 3, 3, 16, 8, 3, 1, 15, 1, 1, 1, 1986)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-seven thousand three hundred sixty
Ordinal
987360th
Binary
11110001000011100000
Octal
3610340
Hexadecimal
0xF10E0
Base64
DxDg
One's complement
4,293,979,935 (32-bit)
Scientific notation
9.8736 × 10⁵
As a duration
987,360 s = 11 days, 10 hours, 16 minutes
In other bases
ternary (3) 1212011101220
quaternary (4) 3301003200
quinary (5) 223043420
senary (6) 33055040
septenary (7) 11251413
nonary (9) 1764356
undecimal (11) 614900
duodecimal (12) 3b7480
tridecimal (13) 28754a
tetradecimal (14) 1b9b7a
pentadecimal (15) 147840

As an angle

987,360° = 2,742 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡπζτξʹ
Chinese
九十八萬七千三百六十
Chinese (financial)
玖拾捌萬柒仟參佰陸拾
In other modern scripts
Eastern Arabic ٩٨٧٣٦٠ Devanagari ९८७३६० Bengali ৯৮৭৩৬০ Tamil ௯௮௭௩௬௦ Thai ๙๘๗๓๖๐ Tibetan ༩༨༧༣༦༠ Khmer ៩៨៧៣៦០ Lao ໙໘໗໓໖໐ Burmese ၉၈၇၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 987360, here are decompositions:

  • 7 + 987353 = 987360
  • 47 + 987313 = 987360
  • 61 + 987299 = 987360
  • 67 + 987293 = 987360
  • 109 + 987251 = 987360
  • 149 + 987211 = 987360
  • 151 + 987209 = 987360
  • 167 + 987193 = 987360

Showing the first eight; more decompositions exist.

Hex color
#0F10E0
RGB(15, 16, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.16.224.

Address
0.15.16.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.16.224

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 987,360 and was likely granted around 1911.

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°.