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104,040

104,040 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.).

104,040 (one hundred four thousand forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 5 × 17². Its proper divisors sum to 255,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19668.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
40,401
Recamán's sequence
a(94,023) = 104,040
Square (n²)
10,824,321,600
Cube (n³)
1,126,162,419,264,000
Divisor count
72
σ(n) — sum of divisors
359,190
φ(n) — Euler's totient
26,112
Sum of prime factors
51

Primality

Prime factorization: 2 3 × 3 2 × 5 × 17 2

Nearest primes: 104,033 (−7) · 104,047 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 17 · 18 · 20 · 24 · 30 · 34 · 36 · 40 · 45 · 51 · 60 · 68 · 72 · 85 · 90 · 102 · 120 · 136 · 153 · 170 · 180 · 204 · 255 · 289 · 306 · 340 · 360 · 408 · 510 · 578 · 612 · 680 · 765 · 867 · 1020 · 1156 · 1224 · 1445 · 1530 · 1734 · 2040 · 2312 · 2601 · 2890 · 3060 · 3468 · 4335 · 5202 · 5780 · 6120 · 6936 · 8670 · 10404 · 11560 · 13005 · 17340 · 20808 · 26010 · 34680 · 52020 (half) · 104040
Aliquot sum (sum of proper divisors): 255,150
Factor pairs (a × b = 104,040)
1 × 104040
2 × 52020
3 × 34680
4 × 26010
5 × 20808
6 × 17340
8 × 13005
9 × 11560
10 × 10404
12 × 8670
15 × 6936
17 × 6120
18 × 5780
20 × 5202
24 × 4335
30 × 3468
34 × 3060
36 × 2890
40 × 2601
45 × 2312
51 × 2040
60 × 1734
68 × 1530
72 × 1445
85 × 1224
90 × 1156
102 × 1020
120 × 867
136 × 765
153 × 680
170 × 612
180 × 578
204 × 510
255 × 408
289 × 360
306 × 340
First multiples
104,040 · 208,080 (double) · 312,120 · 416,160 · 520,200 · 624,240 · 728,280 · 832,320 · 936,360 · 1,040,400

Sums & aliquot sequence

As a sum of two squares: 54² + 318² = 102² + 306² = 222² + 234²
As consecutive integers: 34,679 + 34,680 + 34,681 20,806 + 20,807 + 20,808 + 20,809 + 20,810 11,556 + 11,557 + … + 11,564 6,929 + 6,930 + … + 6,943
Aliquot sequence: 104,040 255,150 558,042 623,910 1,087,962 1,102,278 1,102,290 2,042,670 3,680,466 4,113,678 4,113,690 7,774,950 12,647,850 18,719,190 38,279,466 47,495,256 74,311,464 — unresolved within range

Continued fraction of √n

√104,040 = [322; (1, 1, 4, 3, 1, 1, 2, 7, 1, 1, 2, 1, 5, 2, 17, 2, 5, 1, 2, 1, 1, 7, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand forty
Ordinal
104040th
Binary
11001011001101000
Octal
313150
Hexadecimal
0x19668
Base64
AZZo
One's complement
4,294,863,255 (32-bit)
Scientific notation
1.0404 × 10⁵
As a duration
104,040 s = 1 day, 4 hours, 54 minutes
In other bases
ternary (3) 12021201100
quaternary (4) 121121220
quinary (5) 11312130
senary (6) 2121400
septenary (7) 612216
nonary (9) 167640
undecimal (11) 71192
duodecimal (12) 50260
tridecimal (13) 38481
tetradecimal (14) 29cb6
pentadecimal (15) 20c60
Palindromic in base 7

As an angle

104,040° = 289 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδμʹ
Mayan (base 20)
𝋭·𝋠·𝋢·𝋠
Chinese
一十萬四千零四十
Chinese (financial)
壹拾萬肆仟零肆拾
In other modern scripts
Eastern Arabic ١٠٤٠٤٠ Devanagari १०४०४० Bengali ১০৪০৪০ Tamil ௧௦௪௦௪௦ Thai ๑๐๔๐๔๐ Tibetan ༡༠༤༠༤༠ Khmer ១០៤០៤០ Lao ໑໐໔໐໔໐ Burmese ၁၀၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104040, here are decompositions:

  • 7 + 104033 = 104040
  • 19 + 104021 = 104040
  • 31 + 104009 = 104040
  • 37 + 104003 = 104040
  • 43 + 103997 = 104040
  • 47 + 103993 = 104040
  • 59 + 103981 = 104040
  • 61 + 103979 = 104040

Showing the first eight; more decompositions exist.

Hex color
#019668
RGB(1, 150, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.104.

Address
0.1.150.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.104

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 104,040 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°.