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489,720

489,720 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.).

489,720 (four hundred eighty-nine thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 11 × 53. Its proper divisors sum to 1,376,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x778F8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
27,984
Square (n²)
239,825,678,400
Cube (n³)
117,447,431,226,048,000
Divisor count
128
σ(n) — sum of divisors
1,866,240
φ(n) — Euler's totient
99,840
Sum of prime factors
85

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 11 × 53

Nearest primes: 489,691 (−29) · 489,733 (+13)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 11 · 12 · 14 · 15 · 20 · 21 · 22 · 24 · 28 · 30 · 33 · 35 · 40 · 42 · 44 · 53 · 55 · 56 · 60 · 66 · 70 · 77 · 84 · 88 · 105 · 106 · 110 · 120 · 132 · 140 · 154 · 159 · 165 · 168 · 210 · 212 · 220 · 231 · 264 · 265 · 280 · 308 · 318 · 330 · 371 · 385 · 420 · 424 · 440 · 462 · 530 · 583 · 616 · 636 · 660 · 742 · 770 · 795 · 840 · 924 · 1060 · 1113 · 1155 · 1166 · 1272 · 1320 · 1484 · 1540 · 1590 · 1749 · 1848 · 1855 · 2120 · 2226 · 2310 · 2332 · 2915 · 2968 · 3080 · 3180 · 3498 · 3710 · 4081 · 4452 · 4620 · 4664 · 5565 · 5830 · 6360 · 6996 · 7420 · 8162 · 8745 · 8904 · 9240 · 11130 · 11660 · 12243 · 13992 · 14840 · 16324 · 17490 · 20405 · 22260 · 23320 · 24486 · 32648 · 34980 · 40810 · 44520 · 48972 · 61215 · 69960 · 81620 · 97944 · 122430 · 163240 · 244860 (half) · 489720
Aliquot sum (sum of proper divisors): 1,376,520
Factor pairs (a × b = 489,720)
1 × 489720
2 × 244860
3 × 163240
4 × 122430
5 × 97944
6 × 81620
7 × 69960
8 × 61215
10 × 48972
11 × 44520
12 × 40810
14 × 34980
15 × 32648
20 × 24486
21 × 23320
22 × 22260
24 × 20405
28 × 17490
30 × 16324
33 × 14840
35 × 13992
40 × 12243
42 × 11660
44 × 11130
53 × 9240
55 × 8904
56 × 8745
60 × 8162
66 × 7420
70 × 6996
77 × 6360
84 × 5830
88 × 5565
105 × 4664
106 × 4620
110 × 4452
120 × 4081
132 × 3710
140 × 3498
154 × 3180
159 × 3080
165 × 2968
168 × 2915
210 × 2332
212 × 2310
220 × 2226
231 × 2120
264 × 1855
265 × 1848
280 × 1749
308 × 1590
318 × 1540
330 × 1484
371 × 1320
385 × 1272
420 × 1166
424 × 1155
440 × 1113
462 × 1060
530 × 924
583 × 840
616 × 795
636 × 770
660 × 742
First multiples
489,720 · 979,440 (double) · 1,469,160 · 1,958,880 · 2,448,600 · 2,938,320 · 3,428,040 · 3,917,760 · 4,407,480 · 4,897,200

Sums & aliquot sequence

As consecutive integers: 163,239 + 163,240 + 163,241 97,942 + 97,943 + 97,944 + 97,945 + 97,946 69,957 + 69,958 + … + 69,963 44,515 + 44,516 + … + 44,525
Aliquot sequence: 489,720 1,376,520 2,753,400 6,464,760 14,076,840 28,154,040 63,939,720 154,876,920 351,997,320 703,995,000 1,495,332,240 3,429,144,240 7,201,203,648 12,038,906,208 — keeps growing

Continued fraction of √n

√489,720 = [699; (1, 3, 1, 1398)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-nine thousand seven hundred twenty
Ordinal
489720th
Binary
1110111100011111000
Octal
1674370
Hexadecimal
0x778F8
Base64
B3j4
One's complement
4,294,477,575 (32-bit)
Scientific notation
4.8972 × 10⁵
As a duration
489,720 s = 5 days, 16 hours, 2 minutes
In other bases
ternary (3) 220212202210
quaternary (4) 1313203320
quinary (5) 111132340
senary (6) 14255120
septenary (7) 4106520
nonary (9) 825683
undecimal (11) 304a30
duodecimal (12) 1b74a0
tridecimal (13) 141b9a
tetradecimal (14) ca680
pentadecimal (15) 9a180

As an angle

489,720° = 1,360 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υπθψκʹ
Chinese
四十八萬九千七百二十
Chinese (financial)
肆拾捌萬玖仟柒佰貳拾
In other modern scripts
Eastern Arabic ٤٨٩٧٢٠ Devanagari ४८९७२० Bengali ৪৮৯৭২০ Tamil ௪௮௯௭௨௦ Thai ๔๘๙๗๒๐ Tibetan ༤༨༩༧༢༠ Khmer ៤៨៩៧២០ Lao ໔໘໙໗໒໐ Burmese ၄၈၉၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 489720, here are decompositions:

  • 29 + 489691 = 489720
  • 31 + 489689 = 489720
  • 41 + 489679 = 489720
  • 43 + 489677 = 489720
  • 47 + 489673 = 489720
  • 61 + 489659 = 489720
  • 67 + 489653 = 489720
  • 89 + 489631 = 489720

Showing the first eight; more decompositions exist.

Hex color
#0778F8
RGB(7, 120, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.120.248.

Address
0.7.120.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.120.248

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 489,720 and was likely granted around 1892.

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

Position in π

The digit sequence 489720 first appears in π at position 138,878 of the decimal expansion (the 138,878ordinal-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°.