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981,240

981,240 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.).

981,240 (nine hundred eighty-one thousand two hundred forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 13 × 17 × 37. Its proper divisors sum to 2,466,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF8F8.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
42,189
Recamán's sequence
a(323,931) = 981,240
Square (n²)
962,831,937,600
Cube (n³)
944,769,210,450,624,000
Divisor count
128
σ(n) — sum of divisors
3,447,360
φ(n) — Euler's totient
221,184
Sum of prime factors
81

Primality

Prime factorization: 2 3 × 3 × 5 × 13 × 17 × 37

Nearest primes: 981,221 (−19) · 981,241 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 17 · 20 · 24 · 26 · 30 · 34 · 37 · 39 · 40 · 51 · 52 · 60 · 65 · 68 · 74 · 78 · 85 · 102 · 104 · 111 · 120 · 130 · 136 · 148 · 156 · 170 · 185 · 195 · 204 · 221 · 222 · 255 · 260 · 296 · 312 · 340 · 370 · 390 · 408 · 442 · 444 · 481 · 510 · 520 · 555 · 629 · 663 · 680 · 740 · 780 · 884 · 888 · 962 · 1020 · 1105 · 1110 · 1258 · 1326 · 1443 · 1480 · 1560 · 1768 · 1887 · 1924 · 2040 · 2210 · 2220 · 2405 · 2516 · 2652 · 2886 · 3145 · 3315 · 3774 · 3848 · 4420 · 4440 · 4810 · 5032 · 5304 · 5772 · 6290 · 6630 · 7215 · 7548 · 8177 · 8840 · 9435 · 9620 · 11544 · 12580 · 13260 · 14430 · 15096 · 16354 · 18870 · 19240 · 24531 · 25160 · 26520 · 28860 · 32708 · 37740 · 40885 · 49062 · 57720 · 65416 · 75480 · 81770 · 98124 · 122655 · 163540 · 196248 · 245310 · 327080 · 490620 (half) · 981240
Aliquot sum (sum of proper divisors): 2,466,120
Factor pairs (a × b = 981,240)
1 × 981240
2 × 490620
3 × 327080
4 × 245310
5 × 196248
6 × 163540
8 × 122655
10 × 98124
12 × 81770
13 × 75480
15 × 65416
17 × 57720
20 × 49062
24 × 40885
26 × 37740
30 × 32708
34 × 28860
37 × 26520
39 × 25160
40 × 24531
51 × 19240
52 × 18870
60 × 16354
65 × 15096
68 × 14430
74 × 13260
78 × 12580
85 × 11544
102 × 9620
104 × 9435
111 × 8840
120 × 8177
130 × 7548
136 × 7215
148 × 6630
156 × 6290
170 × 5772
185 × 5304
195 × 5032
204 × 4810
221 × 4440
222 × 4420
255 × 3848
260 × 3774
296 × 3315
312 × 3145
340 × 2886
370 × 2652
390 × 2516
408 × 2405
442 × 2220
444 × 2210
481 × 2040
510 × 1924
520 × 1887
555 × 1768
629 × 1560
663 × 1480
680 × 1443
740 × 1326
780 × 1258
884 × 1110
888 × 1105
962 × 1020
First multiples
981,240 · 1,962,480 (double) · 2,943,720 · 3,924,960 · 4,906,200 · 5,887,440 · 6,868,680 · 7,849,920 · 8,831,160 · 9,812,400

Sums & aliquot sequence

As consecutive integers: 327,079 + 327,080 + 327,081 196,246 + 196,247 + 196,248 + 196,249 + 196,250 75,474 + 75,475 + … + 75,486 65,409 + 65,410 + … + 65,423
Aliquot sequence: 981,240 2,466,120 4,932,600 10,360,320 24,994,560 58,596,864 97,512,936 148,788,504 254,180,556 518,780,724 1,038,506,700 2,855,188,532 2,856,320,908 2,856,320,964 5,780,787,516 10,919,266,036 — keeps growing

Continued fraction of √n

√981,240 = [990; (1, 1, 2, 1, 4, 5, 3, 1, 1, 1, 2, 40, 19, 40, 2, 1, 1, 1, 3, 5, 4, 1, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-one thousand two hundred forty
Ordinal
981240th
Binary
11101111100011111000
Octal
3574370
Hexadecimal
0xEF8F8
Base64
Dvj4
One's complement
4,293,986,055 (32-bit)
Scientific notation
9.8124 × 10⁵
As a duration
981,240 s = 11 days, 8 hours, 34 minutes
In other bases
ternary (3) 1211212000020
quaternary (4) 3233203320
quinary (5) 222344430
senary (6) 33010440
septenary (7) 11224521
nonary (9) 1755006
undecimal (11) 610247
duodecimal (12) 3b3a20
tridecimal (13) 284820
tetradecimal (14) 1b7848
pentadecimal (15) 145b10

As an angle

981,240° = 2,725 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡπασμʹ
Chinese
九十八萬一千二百四十
Chinese (financial)
玖拾捌萬壹仟貳佰肆拾
In other modern scripts
Eastern Arabic ٩٨١٢٤٠ Devanagari ९८१२४० Bengali ৯৮১২৪০ Tamil ௯௮௧௨௪௦ Thai ๙๘๑๒๔๐ Tibetan ༩༨༡༢༤༠ Khmer ៩៨១២៤០ Lao ໙໘໑໒໔໐ Burmese ၉၈၁၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 981240, here are decompositions:

  • 19 + 981221 = 981240
  • 31 + 981209 = 981240
  • 41 + 981199 = 981240
  • 53 + 981187 = 981240
  • 67 + 981173 = 981240
  • 89 + 981151 = 981240
  • 101 + 981139 = 981240
  • 103 + 981137 = 981240

Showing the first eight; more decompositions exist.

Hex color
#0EF8F8
RGB(14, 248, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.248.248.

Address
0.14.248.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.248.248

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 981,240 and was likely granted around 1910.

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

Position in π

The digit sequence 981240 first appears in π at position 438,450 of the decimal expansion (the 438,450ordinal-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°.