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120,148

120,148 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.).

120,148 (one hundred twenty thousand one hundred forty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 613. Its proper divisors sum to 124,838, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D554.

Abundant Number Cube-Free Happy Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
841,021
Recamán's sequence
a(239,800) = 120,148
Square (n²)
14,435,541,904
Cube (n³)
1,734,401,488,681,792
Divisor count
18
σ(n) — sum of divisors
244,986
φ(n) — Euler's totient
51,408
Sum of prime factors
631

Primality

Prime factorization: 2 2 × 7 2 × 613

Nearest primes: 120,121 (−27) · 120,157 (+9)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 613 · 1226 · 2452 · 4291 · 8582 · 17164 · 30037 · 60074 (half) · 120148
Aliquot sum (sum of proper divisors): 124,838
Factor pairs (a × b = 120,148)
1 × 120148
2 × 60074
4 × 30037
7 × 17164
14 × 8582
28 × 4291
49 × 2452
98 × 1226
196 × 613
First multiples
120,148 · 240,296 (double) · 360,444 · 480,592 · 600,740 · 720,888 · 841,036 · 961,184 · 1,081,332 · 1,201,480

Sums & aliquot sequence

As a sum of two squares: 238² + 252²
As consecutive integers: 17,161 + 17,162 + … + 17,167 15,015 + 15,016 + … + 15,022 2,428 + 2,429 + … + 2,476 2,118 + 2,119 + … + 2,173
Aliquot sequence: 120,148 124,838 95,866 47,936 61,792 59,924 46,924 35,200 59,660 73,060 92,756 69,574 37,346 19,678 9,842 8,398 6,722 — unresolved within range

Continued fraction of √n

√120,148 = [346; (1, 1, 1, 1, 1, 11, 1, 1, 6, 4, 1, 3, 4, 2, 4, 1, 5, 2, 3, 43, 25, 1, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand one hundred forty-eight
Ordinal
120148th
Binary
11101010101010100
Octal
352524
Hexadecimal
0x1D554
Base64
AdVU
One's complement
4,294,847,147 (32-bit)
Scientific notation
1.20148 × 10⁵
As a duration
120,148 s = 1 day, 9 hours, 22 minutes, 28 seconds
In other bases
ternary (3) 20002210221
quaternary (4) 131111110
quinary (5) 12321043
senary (6) 2324124
septenary (7) 1010200
nonary (9) 202727
undecimal (11) 822a6
duodecimal (12) 59644
tridecimal (13) 428c2
tetradecimal (14) 31b00
pentadecimal (15) 258ed

As an angle

120,148° = 333 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκρμηʹ
Mayan (base 20)
𝋯·𝋠·𝋧·𝋨
Chinese
一十二萬零一百四十八
Chinese (financial)
壹拾貳萬零壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٠١٤٨ Devanagari १२०१४८ Bengali ১২০১৪৮ Tamil ௧௨௦௧௪௮ Thai ๑๒๐๑๔๘ Tibetan ༡༢༠༡༤༨ Khmer ១២០១៤៨ Lao ໑໒໐໑໔໘ Burmese ၁၂၀၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120148, here are decompositions:

  • 71 + 120077 = 120148
  • 101 + 120047 = 120148
  • 107 + 120041 = 120148
  • 131 + 120017 = 120148
  • 137 + 120011 = 120148
  • 167 + 119981 = 120148
  • 227 + 119921 = 120148
  • 257 + 119891 = 120148

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕔
Mathematical Double-Struck Small C
U+1D554
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 94 (4 bytes).

Hex color
#01D554
RGB(1, 213, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.84.

Address
0.1.213.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.84

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 120,148 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