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490,680

490,680 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.).

490,680 (four hundred ninety thousand six hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 29 × 47. Its proper divisors sum to 1,194,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77CB8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
86,094
Square (n²)
240,766,862,400
Cube (n³)
118,139,484,042,432,000
Divisor count
96
σ(n) — sum of divisors
1,684,800
φ(n) — Euler's totient
123,648
Sum of prime factors
93

Primality

Prime factorization: 2 3 × 3 2 × 5 × 29 × 47

Nearest primes: 490,663 (−17) · 490,697 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 29 · 30 · 36 · 40 · 45 · 47 · 58 · 60 · 72 · 87 · 90 · 94 · 116 · 120 · 141 · 145 · 174 · 180 · 188 · 232 · 235 · 261 · 282 · 290 · 348 · 360 · 376 · 423 · 435 · 470 · 522 · 564 · 580 · 696 · 705 · 846 · 870 · 940 · 1044 · 1128 · 1160 · 1305 · 1363 · 1410 · 1692 · 1740 · 1880 · 2088 · 2115 · 2610 · 2726 · 2820 · 3384 · 3480 · 4089 · 4230 · 5220 · 5452 · 5640 · 6815 · 8178 · 8460 · 10440 · 10904 · 12267 · 13630 · 16356 · 16920 · 20445 · 24534 · 27260 · 32712 · 40890 · 49068 · 54520 · 61335 · 81780 · 98136 · 122670 · 163560 · 245340 (half) · 490680
Aliquot sum (sum of proper divisors): 1,194,120
Factor pairs (a × b = 490,680)
1 × 490680
2 × 245340
3 × 163560
4 × 122670
5 × 98136
6 × 81780
8 × 61335
9 × 54520
10 × 49068
12 × 40890
15 × 32712
18 × 27260
20 × 24534
24 × 20445
29 × 16920
30 × 16356
36 × 13630
40 × 12267
45 × 10904
47 × 10440
58 × 8460
60 × 8178
72 × 6815
87 × 5640
90 × 5452
94 × 5220
116 × 4230
120 × 4089
141 × 3480
145 × 3384
174 × 2820
180 × 2726
188 × 2610
232 × 2115
235 × 2088
261 × 1880
282 × 1740
290 × 1692
348 × 1410
360 × 1363
376 × 1305
423 × 1160
435 × 1128
470 × 1044
522 × 940
564 × 870
580 × 846
696 × 705
First multiples
490,680 · 981,360 (double) · 1,472,040 · 1,962,720 · 2,453,400 · 2,944,080 · 3,434,760 · 3,925,440 · 4,416,120 · 4,906,800

Sums & aliquot sequence

As consecutive integers: 163,559 + 163,560 + 163,561 98,134 + 98,135 + 98,136 + 98,137 + 98,138 54,516 + 54,517 + … + 54,524 32,705 + 32,706 + … + 32,719
Aliquot sequence: 490,680 1,194,120 2,849,400 6,725,880 19,893,960 45,733,680 117,113,040 349,571,376 964,058,832 2,183,596,848 4,124,584,720 5,789,780,720 8,481,472,528 8,685,928,688 8,685,929,680 13,460,510,000 — keeps growing

Continued fraction of √n

√490,680 = [700; (2, 16, 1, 3, 1, 9, 1, 1, 69, 1, 1, 9, 1, 3, 1, 16, 2, 1400)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand six hundred eighty
Ordinal
490680th
Binary
1110111110010111000
Octal
1676270
Hexadecimal
0x77CB8
Base64
B3y4
One's complement
4,294,476,615 (32-bit)
Scientific notation
4.9068 × 10⁵
As a duration
490,680 s = 5 days, 16 hours, 18 minutes
In other bases
ternary (3) 220221002100
quaternary (4) 1313302320
quinary (5) 111200210
senary (6) 14303400
septenary (7) 4112361
nonary (9) 827070
undecimal (11) 305723
duodecimal (12) 1b7b60
tridecimal (13) 142458
tetradecimal (14) cab68
pentadecimal (15) 9a5c0

As an angle

490,680° = 1,363 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟχπʹ
Chinese
四十九萬零六百八十
Chinese (financial)
肆拾玖萬零陸佰捌拾
In other modern scripts
Eastern Arabic ٤٩٠٦٨٠ Devanagari ४९०६८० Bengali ৪৯০৬৮০ Tamil ௪௯௦௬௮௦ Thai ๔๙๐๖๘๐ Tibetan ༤༩༠༦༨༠ Khmer ៤៩០៦៨០ Lao ໔໙໐໖໘໐ Burmese ၄၉၀၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490680, here are decompositions:

  • 17 + 490663 = 490680
  • 19 + 490661 = 490680
  • 37 + 490643 = 490680
  • 53 + 490627 = 490680
  • 61 + 490619 = 490680
  • 89 + 490591 = 490680
  • 101 + 490579 = 490680
  • 103 + 490577 = 490680

Showing the first eight; more decompositions exist.

Hex color
#077CB8
RGB(7, 124, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.124.184.

Address
0.7.124.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.124.184

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 490,680 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 490680 first appears in π at position 40,040 of the decimal expansion (the 40,040ordinal-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°.