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104,960

104,960 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.).

104,960 (one hundred four thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5 × 41. Its proper divisors sum to 152,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A00.

Abundant Number Frugal 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
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
69,401
Recamán's sequence
a(91,163) = 104,960
Square (n²)
11,016,601,600
Cube (n³)
1,156,302,503,936,000
Divisor count
40
σ(n) — sum of divisors
257,796
φ(n) — Euler's totient
40,960
Sum of prime factors
64

Primality

Prime factorization: 2 9 × 5 × 41

Nearest primes: 104,959 (−1) · 104,971 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 41 · 64 · 80 · 82 · 128 · 160 · 164 · 205 · 256 · 320 · 328 · 410 · 512 · 640 · 656 · 820 · 1280 · 1312 · 1640 · 2560 · 2624 · 3280 · 5248 · 6560 · 10496 · 13120 · 20992 · 26240 · 52480 (half) · 104960
Aliquot sum (sum of proper divisors): 152,836
Factor pairs (a × b = 104,960)
1 × 104960
2 × 52480
4 × 26240
5 × 20992
8 × 13120
10 × 10496
16 × 6560
20 × 5248
32 × 3280
40 × 2624
41 × 2560
64 × 1640
80 × 1312
82 × 1280
128 × 820
160 × 656
164 × 640
205 × 512
256 × 410
320 × 328
First multiples
104,960 · 209,920 (double) · 314,880 · 419,840 · 524,800 · 629,760 · 734,720 · 839,680 · 944,640 · 1,049,600

Sums & aliquot sequence

As a sum of two squares: 112² + 304² = 176² + 272²
As consecutive integers: 20,990 + 20,991 + 20,992 + 20,993 + 20,994 2,540 + 2,541 + … + 2,580 410 + 411 + … + 614
Aliquot sequence: 104,960 152,836 128,844 205,476 273,996 465,204 620,300 725,968 777,718 388,862 194,434 101,774 52,354 26,180 46,396 46,452 81,228 — unresolved within range

Continued fraction of √n

√104,960 = [323; (1, 39, 2, 161, 2, 39, 1, 646)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand nine hundred sixty
Ordinal
104960th
Binary
11001101000000000
Octal
315000
Hexadecimal
0x19A00
Base64
AZoA
One's complement
4,294,862,335 (32-bit)
Scientific notation
1.0496 × 10⁵
As a duration
104,960 s = 1 day, 5 hours, 9 minutes, 20 seconds
In other bases
ternary (3) 12022222102
quaternary (4) 121220000
quinary (5) 11324320
senary (6) 2125532
septenary (7) 615002
nonary (9) 168872
undecimal (11) 71949
duodecimal (12) 508a8
tridecimal (13) 38a0b
tetradecimal (14) 2a372
pentadecimal (15) 21175

As an angle

104,960° = 291 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδϡξʹ
Mayan (base 20)
𝋭·𝋢·𝋨·𝋠
Chinese
一十萬四千九百六十
Chinese (financial)
壹拾萬肆仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠٤٩٦٠ Devanagari १०४९६० Bengali ১০৪৯৬০ Tamil ௧௦௪௯௬௦ Thai ๑๐๔๙๖๐ Tibetan ༡༠༤༩༦༠ Khmer ១០៤៩៦០ Lao ໑໐໔໙໖໐ Burmese ၁၀၄၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104960, here are decompositions:

  • 7 + 104953 = 104960
  • 13 + 104947 = 104960
  • 43 + 104917 = 104960
  • 109 + 104851 = 104960
  • 157 + 104803 = 104960
  • 181 + 104779 = 104960
  • 199 + 104761 = 104960
  • 277 + 104683 = 104960

Showing the first eight; more decompositions exist.

Hex color
#019A00
RGB(1, 154, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.0.

Address
0.1.154.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.154.0

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 104,960 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.