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989,820

989,820 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.).

989,820 (nine hundred eighty-nine thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2² × 3⁴ × 5 × 13 × 47. Its proper divisors sum to 2,425,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1A7C.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Smith 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
28,989
Square (n²)
979,743,632,400
Cube (n³)
969,769,842,222,168,000
Divisor count
120
σ(n) — sum of divisors
3,415,104
φ(n) — Euler's totient
238,464
Sum of prime factors
81

Primality

Prime factorization: 2 2 × 3 4 × 5 × 13 × 47

Nearest primes: 989,803 (−17) · 989,827 (+7)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 27 · 30 · 36 · 39 · 45 · 47 · 52 · 54 · 60 · 65 · 78 · 81 · 90 · 94 · 108 · 117 · 130 · 135 · 141 · 156 · 162 · 180 · 188 · 195 · 234 · 235 · 260 · 270 · 282 · 324 · 351 · 390 · 405 · 423 · 468 · 470 · 540 · 564 · 585 · 611 · 702 · 705 · 780 · 810 · 846 · 940 · 1053 · 1170 · 1222 · 1269 · 1404 · 1410 · 1620 · 1692 · 1755 · 1833 · 2106 · 2115 · 2340 · 2444 · 2538 · 2820 · 3055 · 3510 · 3666 · 3807 · 4212 · 4230 · 5076 · 5265 · 5499 · 6110 · 6345 · 7020 · 7332 · 7614 · 8460 · 9165 · 10530 · 10998 · 12220 · 12690 · 15228 · 16497 · 18330 · 19035 · 21060 · 21996 · 25380 · 27495 · 32994 · 36660 · 38070 · 49491 · 54990 · 65988 · 76140 · 82485 · 98982 · 109980 · 164970 · 197964 · 247455 · 329940 · 494910 (half) · 989820
Aliquot sum (sum of proper divisors): 2,425,284
Factor pairs (a × b = 989,820)
1 × 989820
2 × 494910
3 × 329940
4 × 247455
5 × 197964
6 × 164970
9 × 109980
10 × 98982
12 × 82485
13 × 76140
15 × 65988
18 × 54990
20 × 49491
26 × 38070
27 × 36660
30 × 32994
36 × 27495
39 × 25380
45 × 21996
47 × 21060
52 × 19035
54 × 18330
60 × 16497
65 × 15228
78 × 12690
81 × 12220
90 × 10998
94 × 10530
108 × 9165
117 × 8460
130 × 7614
135 × 7332
141 × 7020
156 × 6345
162 × 6110
180 × 5499
188 × 5265
195 × 5076
234 × 4230
235 × 4212
260 × 3807
270 × 3666
282 × 3510
324 × 3055
351 × 2820
390 × 2538
405 × 2444
423 × 2340
468 × 2115
470 × 2106
540 × 1833
564 × 1755
585 × 1692
611 × 1620
702 × 1410
705 × 1404
780 × 1269
810 × 1222
846 × 1170
940 × 1053
First multiples
989,820 · 1,979,640 (double) · 2,969,460 · 3,959,280 · 4,949,100 · 5,938,920 · 6,928,740 · 7,918,560 · 8,908,380 · 9,898,200

Sums & aliquot sequence

As consecutive integers: 329,939 + 329,940 + 329,941 197,962 + 197,963 + 197,964 + 197,965 + 197,966 123,724 + 123,725 + … + 123,731 109,976 + 109,977 + … + 109,984
Aliquot sequence: 989,820 2,425,284 3,705,386 1,971,094 985,550 929,506 464,756 348,574 201,866 144,214 103,034 51,520 94,784 93,430 74,762 41,338 26,342 — unresolved within range

Continued fraction of √n

√989,820 = [994; (1, 8, 1, 2, 2, 2, 3, 3, 3, 54, 1, 31, 1, 1, 1, 3, 6, 7, 1, 220, 4, 1, 2, 1, …)]

Representations

In words
nine hundred eighty-nine thousand eight hundred twenty
Ordinal
989820th
Binary
11110001101001111100
Octal
3615174
Hexadecimal
0xF1A7C
Base64
Dxp8
One's complement
4,293,977,475 (32-bit)
Scientific notation
9.8982 × 10⁵
As a duration
989,820 s = 11 days, 10 hours, 57 minutes
In other bases
ternary (3) 1212021210000
quaternary (4) 3301221330
quinary (5) 223133240
senary (6) 33114300
septenary (7) 11261526
nonary (9) 1767700
undecimal (11) 616737
duodecimal (12) 3b8990
tridecimal (13) 2886c0
tetradecimal (14) 1baa16
pentadecimal (15) 148430

As an angle

989,820° = 2,749 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡπθωκʹ
Chinese
九十八萬九千八百二十
Chinese (financial)
玖拾捌萬玖仟捌佰貳拾
In other modern scripts
Eastern Arabic ٩٨٩٨٢٠ Devanagari ९८९८२० Bengali ৯৮৯৮২০ Tamil ௯௮௯௮௨௦ Thai ๙๘๙๘๒๐ Tibetan ༩༨༩༨༢༠ Khmer ៩៨៩៨២០ Lao ໙໘໙໘໒໐ Burmese ၉၈၉၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 989820, here are decompositions:

  • 17 + 989803 = 989820
  • 23 + 989797 = 989820
  • 37 + 989783 = 989820
  • 43 + 989777 = 989820
  • 59 + 989761 = 989820
  • 67 + 989753 = 989820
  • 71 + 989749 = 989820
  • 101 + 989719 = 989820

Showing the first eight; more decompositions exist.

Hex color
#0F1A7C
RGB(15, 26, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.26.124.

Address
0.15.26.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.26.124

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 989,820 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 989820 first appears in π at position 228,927 of the decimal expansion (the 228,927ordinal-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°.