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104,520

104,520 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.).

104,520 (one hundred four thousand five hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 13 × 67. Its proper divisors sum to 238,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19848.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
25,401
Recamán's sequence
a(92,151) = 104,520
Square (n²)
10,924,430,400
Cube (n³)
1,141,821,465,408,000
Divisor count
64
σ(n) — sum of divisors
342,720
φ(n) — Euler's totient
25,344
Sum of prime factors
94

Primality

Prime factorization: 2 3 × 3 × 5 × 13 × 67

Nearest primes: 104,513 (−7) · 104,527 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 20 · 24 · 26 · 30 · 39 · 40 · 52 · 60 · 65 · 67 · 78 · 104 · 120 · 130 · 134 · 156 · 195 · 201 · 260 · 268 · 312 · 335 · 390 · 402 · 520 · 536 · 670 · 780 · 804 · 871 · 1005 · 1340 · 1560 · 1608 · 1742 · 2010 · 2613 · 2680 · 3484 · 4020 · 4355 · 5226 · 6968 · 8040 · 8710 · 10452 · 13065 · 17420 · 20904 · 26130 · 34840 · 52260 (half) · 104520
Aliquot sum (sum of proper divisors): 238,200
Factor pairs (a × b = 104,520)
1 × 104520
2 × 52260
3 × 34840
4 × 26130
5 × 20904
6 × 17420
8 × 13065
10 × 10452
12 × 8710
13 × 8040
15 × 6968
20 × 5226
24 × 4355
26 × 4020
30 × 3484
39 × 2680
40 × 2613
52 × 2010
60 × 1742
65 × 1608
67 × 1560
78 × 1340
104 × 1005
120 × 871
130 × 804
134 × 780
156 × 670
195 × 536
201 × 520
260 × 402
268 × 390
312 × 335
First multiples
104,520 · 209,040 (double) · 313,560 · 418,080 · 522,600 · 627,120 · 731,640 · 836,160 · 940,680 · 1,045,200

Sums & aliquot sequence

As consecutive integers: 34,839 + 34,840 + 34,841 20,902 + 20,903 + 20,904 + 20,905 + 20,906 8,034 + 8,035 + … + 8,046 6,961 + 6,962 + … + 6,975
Aliquot sequence: 104,520 238,200 502,080 1,095,072 2,279,712 3,704,784 5,996,976 9,661,248 18,746,112 43,653,120 124,405,680 316,351,824 543,905,616 948,659,568 1,646,205,600 4,430,280,480 9,525,104,544 — unresolved within range

Continued fraction of √n

√104,520 = [323; (3, 2, 1, 1, 1, 1, 6, 5, 5, 5, 6, 1, 1, 1, 1, 2, 3, 646)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand five hundred twenty
Ordinal
104520th
Binary
11001100001001000
Octal
314110
Hexadecimal
0x19848
Base64
AZhI
One's complement
4,294,862,775 (32-bit)
Scientific notation
1.0452 × 10⁵
As a duration
104,520 s = 1 day, 5 hours, 2 minutes
In other bases
ternary (3) 12022101010
quaternary (4) 121201020
quinary (5) 11321040
senary (6) 2123520
septenary (7) 613503
nonary (9) 168333
undecimal (11) 71589
duodecimal (12) 505a0
tridecimal (13) 38760
tetradecimal (14) 2a13a
pentadecimal (15) 20e80

As an angle

104,520° = 290 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρδφκʹ
Mayan (base 20)
𝋭·𝋡·𝋦·𝋠
Chinese
一十萬四千五百二十
Chinese (financial)
壹拾萬肆仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٥٢٠ Devanagari १०४५२० Bengali ১০৪৫২০ Tamil ௧௦௪௫௨௦ Thai ๑๐๔๕๒๐ Tibetan ༡༠༤༥༢༠ Khmer ១០៤៥២០ Lao ໑໐໔໕໒໐ Burmese ၁၀၄၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104520, here are decompositions:

  • 7 + 104513 = 104520
  • 29 + 104491 = 104520
  • 41 + 104479 = 104520
  • 47 + 104473 = 104520
  • 61 + 104459 = 104520
  • 103 + 104417 = 104520
  • 127 + 104393 = 104520
  • 137 + 104383 = 104520

Showing the first eight; more decompositions exist.

Hex color
#019848
RGB(1, 152, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.72.

Address
0.1.152.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.72

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 104,520 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

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