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493,120

493,120 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.).

493,120 (four hundred ninety-three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 23 × 67. Its proper divisors sum to 750,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78640.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
21,394
Square (n²)
243,167,334,400
Cube (n³)
119,910,675,939,328,000
Divisor count
56
σ(n) — sum of divisors
1,243,584
φ(n) — Euler's totient
185,856
Sum of prime factors
107

Primality

Prime factorization: 2 6 × 5 × 23 × 67

Nearest primes: 493,111 (−9) · 493,121 (+1)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 32 · 40 · 46 · 64 · 67 · 80 · 92 · 115 · 134 · 160 · 184 · 230 · 268 · 320 · 335 · 368 · 460 · 536 · 670 · 736 · 920 · 1072 · 1340 · 1472 · 1541 · 1840 · 2144 · 2680 · 3082 · 3680 · 4288 · 5360 · 6164 · 7360 · 7705 · 10720 · 12328 · 15410 · 21440 · 24656 · 30820 · 49312 · 61640 · 98624 · 123280 · 246560 (half) · 493120
Aliquot sum (sum of proper divisors): 750,464
Factor pairs (a × b = 493,120)
1 × 493120
2 × 246560
4 × 123280
5 × 98624
8 × 61640
10 × 49312
16 × 30820
20 × 24656
23 × 21440
32 × 15410
40 × 12328
46 × 10720
64 × 7705
67 × 7360
80 × 6164
92 × 5360
115 × 4288
134 × 3680
160 × 3082
184 × 2680
230 × 2144
268 × 1840
320 × 1541
335 × 1472
368 × 1340
460 × 1072
536 × 920
670 × 736
First multiples
493,120 · 986,240 (double) · 1,479,360 · 1,972,480 · 2,465,600 · 2,958,720 · 3,451,840 · 3,944,960 · 4,438,080 · 4,931,200

Sums & aliquot sequence

As consecutive integers: 98,622 + 98,623 + 98,624 + 98,625 + 98,626 21,429 + 21,430 + … + 21,451 7,327 + 7,328 + … + 7,393 4,231 + 4,232 + … + 4,345
Aliquot sequence: 493,120 750,464 1,048,816 983,296 1,077,056 1,060,354 530,180 767,368 908,792 832,168 728,162 389,614 225,626 122,074 63,974 35,386 21,818 — unresolved within range

Continued fraction of √n

√493,120 = [702; (4, 2, 3, 1, 17, 351, 17, 1, 3, 2, 4, 1404)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-three thousand one hundred twenty
Ordinal
493120th
Binary
1111000011001000000
Octal
1703100
Hexadecimal
0x78640
Base64
B4ZA
One's complement
4,294,474,175 (32-bit)
Scientific notation
4.9312 × 10⁵
As a duration
493,120 s = 5 days, 16 hours, 58 minutes, 40 seconds
In other bases
ternary (3) 221001102201
quaternary (4) 1320121000
quinary (5) 111234440
senary (6) 14322544
septenary (7) 4122445
nonary (9) 831381
undecimal (11) 307541
duodecimal (12) 1b9454
tridecimal (13) 1435b4
tetradecimal (14) cb9cc
pentadecimal (15) 9b19a

As an angle

493,120° = 1,369 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵υϟγρκʹ
Chinese
四十九萬三千一百二十
Chinese (financial)
肆拾玖萬參仟壹佰貳拾
In other modern scripts
Eastern Arabic ٤٩٣١٢٠ Devanagari ४९३१२० Bengali ৪৯৩১২০ Tamil ௪௯௩௧௨௦ Thai ๔๙๓๑๒๐ Tibetan ༤༩༣༡༢༠ Khmer ៤៩៣១២០ Lao ໔໙໓໑໒໐ Burmese ၄၉၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 493120, here are decompositions:

  • 11 + 493109 = 493120
  • 53 + 493067 = 493120
  • 71 + 493049 = 493120
  • 107 + 493013 = 493120
  • 227 + 492893 = 493120
  • 281 + 492839 = 493120
  • 359 + 492761 = 493120
  • 389 + 492731 = 493120

Showing the first eight; more decompositions exist.

Hex color
#078640
RGB(7, 134, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.134.64.

Address
0.7.134.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.134.64

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 493,120 and was likely granted around 1893.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.