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987,840

987,840 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.).

987,840 (nine hundred eighty-seven thousand eight hundred forty) is an even 6-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3² × 5 × 7³. Its proper divisors sum to 2,974,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF12C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence 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
48,789
Recamán's sequence
a(330,959) = 987,840
Square (n²)
975,827,865,600
Cube (n³)
963,961,798,754,304,000
Divisor count
168
σ(n) — sum of divisors
3,962,400
φ(n) — Euler's totient
225,792
Sum of prime factors
44

Primality

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

Nearest primes: 987,821 (−19) · 987,851 (+11)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 36 · 40 · 42 · 45 · 48 · 49 · 56 · 60 · 63 · 64 · 70 · 72 · 80 · 84 · 90 · 96 · 98 · 105 · 112 · 120 · 126 · 140 · 144 · 147 · 160 · 168 · 180 · 192 · 196 · 210 · 224 · 240 · 245 · 252 · 280 · 288 · 294 · 315 · 320 · 336 · 343 · 360 · 392 · 420 · 441 · 448 · 480 · 490 · 504 · 560 · 576 · 588 · 630 · 672 · 686 · 720 · 735 · 784 · 840 · 882 · 960 · 980 · 1008 · 1029 · 1120 · 1176 · 1260 · 1344 · 1372 · 1440 · 1470 · 1568 · 1680 · 1715 · 1764 · 1960 · 2016 · 2058 · 2205 · 2240 · 2352 · 2520 · 2744 · 2880 · 2940 · 3087 · 3136 · 3360 · 3430 · 3528 · 3920 · 4032 · 4116 · 4410 · 4704 · 5040 · 5145 · 5488 · 5880 · 6174 · 6720 · 6860 · 7056 · 7840 · 8232 · 8820 · 9408 · 10080 · 10290 · 10976 · 11760 · 12348 · 13720 · 14112 · 15435 · 15680 · 16464 · 17640 · 20160 · 20580 · 21952 · 23520 · 24696 · 27440 · 28224 · 30870 · 32928 · 35280 · 41160 · 47040 · 49392 · 54880 · 61740 · 65856 · 70560 · 82320 · 98784 · 109760 · 123480 · 141120 · 164640 · 197568 · 246960 · 329280 · 493920 (half) · 987840
Aliquot sum (sum of proper divisors): 2,974,560
Factor pairs (a × b = 987,840)
1 × 987840
2 × 493920
3 × 329280
4 × 246960
5 × 197568
6 × 164640
7 × 141120
8 × 123480
9 × 109760
10 × 98784
12 × 82320
14 × 70560
15 × 65856
16 × 61740
18 × 54880
20 × 49392
21 × 47040
24 × 41160
28 × 35280
30 × 32928
32 × 30870
35 × 28224
36 × 27440
40 × 24696
42 × 23520
45 × 21952
48 × 20580
49 × 20160
56 × 17640
60 × 16464
63 × 15680
64 × 15435
70 × 14112
72 × 13720
80 × 12348
84 × 11760
90 × 10976
96 × 10290
98 × 10080
105 × 9408
112 × 8820
120 × 8232
126 × 7840
140 × 7056
144 × 6860
147 × 6720
160 × 6174
168 × 5880
180 × 5488
192 × 5145
196 × 5040
210 × 4704
224 × 4410
240 × 4116
245 × 4032
252 × 3920
280 × 3528
288 × 3430
294 × 3360
315 × 3136
320 × 3087
336 × 2940
343 × 2880
360 × 2744
392 × 2520
420 × 2352
441 × 2240
448 × 2205
480 × 2058
490 × 2016
504 × 1960
560 × 1764
576 × 1715
588 × 1680
630 × 1568
672 × 1470
686 × 1440
720 × 1372
735 × 1344
784 × 1260
840 × 1176
882 × 1120
960 × 1029
980 × 1008
First multiples
987,840 · 1,975,680 (double) · 2,963,520 · 3,951,360 · 4,939,200 · 5,927,040 · 6,914,880 · 7,902,720 · 8,890,560 · 9,878,400

Sums & aliquot sequence

As consecutive integers: 329,279 + 329,280 + 329,281 197,566 + 197,567 + 197,568 + 197,569 + 197,570 141,117 + 141,118 + … + 141,123 109,756 + 109,757 + … + 109,764
Aliquot sequence: 987,840 2,974,560 6,396,816 10,369,968 20,799,912 42,401,688 78,746,472 171,247,128 289,803,672 495,081,468 937,998,180 2,371,826,520 6,437,824,200 16,166,764,170 — keeps growing

Continued fraction of √n

√987,840 = [993; (1, 9, 7, 40, 2, 2, 1, 9, 2, 2, 1, 39, 1, 5, 1, 9, 3, 1, 1, 39, 1, 495, 1, 39, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-seven thousand eight hundred forty
Ordinal
987840th
Binary
11110001001011000000
Octal
3611300
Hexadecimal
0xF12C0
Base64
DxLA
One's complement
4,293,979,455 (32-bit)
Scientific notation
9.8784 × 10⁵
As a duration
987,840 s = 11 days, 10 hours, 24 minutes
In other bases
ternary (3) 1212012001200
quaternary (4) 3301023000
quinary (5) 223102330
senary (6) 33101200
septenary (7) 11253000
nonary (9) 1765050
undecimal (11) 6151a7
duodecimal (12) 3b7800
tridecimal (13) 287829
tetradecimal (14) 1ba000
pentadecimal (15) 147a60

As an angle

987,840° = 2,744 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡπζωμʹ
Chinese
九十八萬七千八百四十
Chinese (financial)
玖拾捌萬柒仟捌佰肆拾
In other modern scripts
Eastern Arabic ٩٨٧٨٤٠ Devanagari ९८७८४० Bengali ৯৮৭৮৪০ Tamil ௯௮௭௮௪௦ Thai ๙๘๗๘๔๐ Tibetan ༩༨༧༨༤༠ Khmer ៩៨៧៨៤០ Lao ໙໘໗໘໔໐ Burmese ၉၈၇၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 987840, here are decompositions:

  • 19 + 987821 = 987840
  • 31 + 987809 = 987840
  • 37 + 987803 = 987840
  • 43 + 987797 = 987840
  • 47 + 987793 = 987840
  • 101 + 987739 = 987840
  • 127 + 987713 = 987840
  • 181 + 987659 = 987840

Showing the first eight; more decompositions exist.

Hex color
#0F12C0
RGB(15, 18, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.18.192.

Address
0.15.18.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.18.192

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 987,840 and was likely granted around 1911.

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

Position in π

The digit sequence 987840 first appears in π at position 535,616 of the decimal expansion (the 535,616ordinal-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°.