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104,640

104,640 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.).

104,640 (one hundred four thousand six hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 109. Its proper divisors sum to 230,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x198C0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
46,401
Recamán's sequence
a(91,911) = 104,640
Square (n²)
10,949,529,600
Cube (n³)
1,145,758,777,344,000
Divisor count
56
σ(n) — sum of divisors
335,280
φ(n) — Euler's totient
27,648
Sum of prime factors
129

Primality

Prime factorization: 2 6 × 3 × 5 × 109

Nearest primes: 104,639 (−1) · 104,651 (+11)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 109 · 120 · 160 · 192 · 218 · 240 · 320 · 327 · 436 · 480 · 545 · 654 · 872 · 960 · 1090 · 1308 · 1635 · 1744 · 2180 · 2616 · 3270 · 3488 · 4360 · 5232 · 6540 · 6976 · 8720 · 10464 · 13080 · 17440 · 20928 · 26160 · 34880 · 52320 (half) · 104640
Aliquot sum (sum of proper divisors): 230,640
Factor pairs (a × b = 104,640)
1 × 104640
2 × 52320
3 × 34880
4 × 26160
5 × 20928
6 × 17440
8 × 13080
10 × 10464
12 × 8720
15 × 6976
16 × 6540
20 × 5232
24 × 4360
30 × 3488
32 × 3270
40 × 2616
48 × 2180
60 × 1744
64 × 1635
80 × 1308
96 × 1090
109 × 960
120 × 872
160 × 654
192 × 545
218 × 480
240 × 436
320 × 327
First multiples
104,640 · 209,280 (double) · 313,920 · 418,560 · 523,200 · 627,840 · 732,480 · 837,120 · 941,760 · 1,046,400

Sums & aliquot sequence

As consecutive integers: 34,879 + 34,880 + 34,881 20,926 + 20,927 + 20,928 + 20,929 + 20,930 6,969 + 6,970 + … + 6,983 906 + 907 + … + 1,014
Aliquot sequence: 104,640 230,640 508,152 805,128 1,207,752 2,622,648 5,015,112 7,522,728 11,363,832 19,413,408 39,881,184 86,836,512 173,675,040 532,344,288 1,064,690,592 2,136,564,192 4,288,492,320 — unresolved within range

Continued fraction of √n

√104,640 = [323; (2, 12, 1, 2, 2, 1, 2, 161, 2, 1, 2, 2, 1, 12, 2, 646)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand six hundred forty
Ordinal
104640th
Binary
11001100011000000
Octal
314300
Hexadecimal
0x198C0
Base64
AZjA
One's complement
4,294,862,655 (32-bit)
Scientific notation
1.0464 × 10⁵
As a duration
104,640 s = 1 day, 5 hours, 4 minutes
In other bases
ternary (3) 12022112120
quaternary (4) 121203000
quinary (5) 11322030
senary (6) 2124240
septenary (7) 614034
nonary (9) 168476
undecimal (11) 71688
duodecimal (12) 50680
tridecimal (13) 38823
tetradecimal (14) 2a1c4
pentadecimal (15) 21010

As an angle

104,640° = 290 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδχμʹ
Mayan (base 20)
𝋭·𝋡·𝋬·𝋠
Chinese
一十萬四千六百四十
Chinese (financial)
壹拾萬肆仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٤٦٤٠ Devanagari १०४६४० Bengali ১০৪৬৪০ Tamil ௧௦௪௬௪௦ Thai ๑๐๔๖๔๐ Tibetan ༡༠༤༦༤༠ Khmer ១០៤៦៤០ Lao ໑໐໔໖໔໐ Burmese ၁၀၄၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104640, here are decompositions:

  • 17 + 104623 = 104640
  • 43 + 104597 = 104640
  • 47 + 104593 = 104640
  • 61 + 104579 = 104640
  • 79 + 104561 = 104640
  • 89 + 104551 = 104640
  • 97 + 104543 = 104640
  • 103 + 104537 = 104640

Showing the first eight; more decompositions exist.

Hex color
#0198C0
RGB(1, 152, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.192.

Address
0.1.152.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.192

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 104,640 and was likely granted around 1870.

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

Position in π

The digit sequence 104640 first appears in π at position 108,281 of the decimal expansion (the 108,281ordinal-suffix:st 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°.