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104,320

104,320 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.).

104,320 (one hundred four thousand three hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 163. Its proper divisors sum to 146,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19780.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
23,401
Recamán's sequence
a(92,551) = 104,320
Square (n²)
10,882,662,400
Cube (n³)
1,135,279,341,568,000
Divisor count
32
σ(n) — sum of divisors
250,920
φ(n) — Euler's totient
41,472
Sum of prime factors
182

Primality

Prime factorization: 2 7 × 5 × 163

Nearest primes: 104,311 (−9) · 104,323 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 163 · 320 · 326 · 640 · 652 · 815 · 1304 · 1630 · 2608 · 3260 · 5216 · 6520 · 10432 · 13040 · 20864 · 26080 · 52160 (half) · 104320
Aliquot sum (sum of proper divisors): 146,600
Factor pairs (a × b = 104,320)
1 × 104320
2 × 52160
4 × 26080
5 × 20864
8 × 13040
10 × 10432
16 × 6520
20 × 5216
32 × 3260
40 × 2608
64 × 1630
80 × 1304
128 × 815
160 × 652
163 × 640
320 × 326
First multiples
104,320 · 208,640 (double) · 312,960 · 417,280 · 521,600 · 625,920 · 730,240 · 834,560 · 938,880 · 1,043,200

Sums & aliquot sequence

As consecutive integers: 20,862 + 20,863 + 20,864 + 20,865 + 20,866 559 + 560 + … + 721 280 + 281 + … + 535
Aliquot sequence: 104,320 146,600 194,710 155,786 77,896 103,544 123,616 119,816 118,324 88,750 79,946 41,878 20,942 11,434 5,720 9,400 12,920 — unresolved within range

Continued fraction of √n

√104,320 = [322; (1, 70, 1, 3, 2, 7, 1, 1, 7, 1, 1, 1, 4, 1, 1, 3, 1, 14, 1, 39, 2, 3, 2, 4, …)]

Representations

In words
one hundred four thousand three hundred twenty
Ordinal
104320th
Binary
11001011110000000
Octal
313600
Hexadecimal
0x19780
Base64
AZeA
One's complement
4,294,862,975 (32-bit)
Scientific notation
1.0432 × 10⁵
As a duration
104,320 s = 1 day, 4 hours, 58 minutes, 40 seconds
In other bases
ternary (3) 12022002201
quaternary (4) 121132000
quinary (5) 11314240
senary (6) 2122544
septenary (7) 613066
nonary (9) 168081
undecimal (11) 71417
duodecimal (12) 50454
tridecimal (13) 38638
tetradecimal (14) 2a036
pentadecimal (15) 20d9a
Palindromic in base 11

As an angle

104,320° = 289 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρδτκʹ
Mayan (base 20)
𝋭·𝋠·𝋰·𝋠
Chinese
一十萬四千三百二十
Chinese (financial)
壹拾萬肆仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٣٢٠ Devanagari १०४३२० Bengali ১০৪৩২০ Tamil ௧௦௪௩௨௦ Thai ๑๐๔๓๒๐ Tibetan ༡༠༤༣༢༠ Khmer ១០៤៣២០ Lao ໑໐໔໓໒໐ Burmese ၁၀၄၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104320, here are decompositions:

  • 11 + 104309 = 104320
  • 23 + 104297 = 104320
  • 89 + 104231 = 104320
  • 113 + 104207 = 104320
  • 137 + 104183 = 104320
  • 173 + 104147 = 104320
  • 197 + 104123 = 104320
  • 233 + 104087 = 104320

Showing the first eight; more decompositions exist.

Hex color
#019780
RGB(1, 151, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.128.

Address
0.1.151.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.128

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 104,320 and was likely granted around 1870.

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

Related reading