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120,848

120,848 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.).

120,848 (one hundred twenty thousand eight hundred forty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 13 × 83. Its proper divisors sum to 170,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D810.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
848,021
Square (n²)
14,604,239,104
Cube (n³)
1,764,893,087,240,192
Divisor count
40
σ(n) — sum of divisors
291,648
φ(n) — Euler's totient
47,232
Sum of prime factors
111

Primality

Prime factorization: 2 4 × 7 × 13 × 83

Nearest primes: 120,847 (−1) · 120,851 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 52 · 56 · 83 · 91 · 104 · 112 · 166 · 182 · 208 · 332 · 364 · 581 · 664 · 728 · 1079 · 1162 · 1328 · 1456 · 2158 · 2324 · 4316 · 4648 · 7553 · 8632 · 9296 · 15106 · 17264 · 30212 · 60424 (half) · 120848
Aliquot sum (sum of proper divisors): 170,800
Factor pairs (a × b = 120,848)
1 × 120848
2 × 60424
4 × 30212
7 × 17264
8 × 15106
13 × 9296
14 × 8632
16 × 7553
26 × 4648
28 × 4316
52 × 2324
56 × 2158
83 × 1456
91 × 1328
104 × 1162
112 × 1079
166 × 728
182 × 664
208 × 581
332 × 364
First multiples
120,848 · 241,696 (double) · 362,544 · 483,392 · 604,240 · 725,088 · 845,936 · 966,784 · 1,087,632 · 1,208,480

Sums & aliquot sequence

As consecutive integers: 17,261 + 17,262 + … + 17,267 9,290 + 9,291 + … + 9,302 3,761 + 3,762 + … + 3,792 1,415 + 1,416 + … + 1,497
Aliquot sequence: 120,848 170,800 305,856 616,164 821,580 1,479,012 2,032,188 3,075,012 4,752,808 4,211,192 4,119,928 3,678,752 5,356,960 9,109,856 11,727,520 20,907,488 26,134,864 — unresolved within range

Continued fraction of √n

√120,848 = [347; (1, 1, 1, 2, 1, 1, 6, 5, 1, 5, 3, 5, 1, 5, 6, 1, 1, 2, 1, 1, 1, 694)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eight hundred forty-eight
Ordinal
120848th
Binary
11101100000010000
Octal
354020
Hexadecimal
0x1D810
Base64
AdgQ
One's complement
4,294,846,447 (32-bit)
Scientific notation
1.20848 × 10⁵
As a duration
120,848 s = 1 day, 9 hours, 34 minutes, 8 seconds
In other bases
ternary (3) 20010202212
quaternary (4) 131200100
quinary (5) 12331343
senary (6) 2331252
septenary (7) 1012220
nonary (9) 203685
undecimal (11) 82882
duodecimal (12) 59b28
tridecimal (13) 43010
tetradecimal (14) 32080
pentadecimal (15) 25c18

As an angle

120,848° = 335 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκωμηʹ
Mayan (base 20)
𝋯·𝋢·𝋢·𝋨
Chinese
一十二萬零八百四十八
Chinese (financial)
壹拾貳萬零捌佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٠٨٤٨ Devanagari १२०८४८ Bengali ১২০৮৪৮ Tamil ௧௨௦௮௪௮ Thai ๑๒๐๘๔๘ Tibetan ༡༢༠༨༤༨ Khmer ១២០៨៤៨ Lao ໑໒໐໘໔໘ Burmese ၁၂၀၈၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120848, here are decompositions:

  • 19 + 120829 = 120848
  • 31 + 120817 = 120848
  • 37 + 120811 = 120848
  • 109 + 120739 = 120848
  • 127 + 120721 = 120848
  • 139 + 120709 = 120848
  • 157 + 120691 = 120848
  • 229 + 120619 = 120848

Showing the first eight; more decompositions exist.

Unicode codepoint
𝠐
Signwriting Hand-Fist Index Middle Bent
U+1D810
Other symbol (So)

UTF-8 encoding: F0 9D A0 90 (4 bytes).

Hex color
#01D810
RGB(1, 216, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.16.

Address
0.1.216.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.16

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 120,848 and was likely granted around 1871.

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.