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120,170

120,170 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.).

120,170 (one hundred twenty thousand one hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 61 × 197. Written other ways, in hexadecimal, 0x1D56A.

Cube-Free Deficient Number Evil Number Gapful Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
71,021
Square (n²)
14,440,828,900
Cube (n³)
1,735,354,408,913,000
Divisor count
16
σ(n) — sum of divisors
220,968
φ(n) — Euler's totient
47,040
Sum of prime factors
265

Primality

Prime factorization: 2 × 5 × 61 × 197

Nearest primes: 120,167 (−3) · 120,181 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 61 · 122 · 197 · 305 · 394 · 610 · 985 · 1970 · 12017 · 24034 · 60085 (half) · 120170
Aliquot sum (sum of proper divisors): 100,798
Factor pairs (a × b = 120,170)
1 × 120170
2 × 60085
5 × 24034
10 × 12017
61 × 1970
122 × 985
197 × 610
305 × 394
First multiples
120,170 · 240,340 (double) · 360,510 · 480,680 · 600,850 · 721,020 · 841,190 · 961,360 · 1,081,530 · 1,201,700

Sums & aliquot sequence

As a sum of two squares: 103² + 331² = 149² + 313² = 161² + 307² = 203² + 281²
As consecutive integers: 30,041 + 30,042 + 30,043 + 30,044 24,032 + 24,033 + 24,034 + 24,035 + 24,036 5,999 + 6,000 + … + 6,018 1,940 + 1,941 + … + 2,000
Aliquot sequence: 120,170 100,798 52,202 28,054 18,062 11,530 9,242 4,624 4,893 2,595 1,581 723 245 97 1 0 — terminates at zero

Continued fraction of √n

√120,170 = [346; (1, 1, 1, 9, 4, 4, 1, 13, 2, 1, 16, 4, 4, 16, 1, 2, 13, 1, 4, 4, 9, 1, 1, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand one hundred seventy
Ordinal
120170th
Binary
11101010101101010
Octal
352552
Hexadecimal
0x1D56A
Base64
AdVq
One's complement
4,294,847,125 (32-bit)
Scientific notation
1.2017 × 10⁵
As a duration
120,170 s = 1 day, 9 hours, 22 minutes, 50 seconds
In other bases
ternary (3) 20002211202
quaternary (4) 131111222
quinary (5) 12321140
senary (6) 2324202
septenary (7) 1010231
nonary (9) 202752
undecimal (11) 82316
duodecimal (12) 59662
tridecimal (13) 4290b
tetradecimal (14) 31b18
pentadecimal (15) 25915

As an angle

120,170° = 333 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκροʹ
Mayan (base 20)
𝋯·𝋠·𝋨·𝋪
Chinese
一十二萬零一百七十
Chinese (financial)
壹拾貳萬零壹佰柒拾
In other modern scripts
Eastern Arabic ١٢٠١٧٠ Devanagari १२०१७० Bengali ১২০১৭০ Tamil ௧௨௦௧௭௦ Thai ๑๒๐๑๗๐ Tibetan ༡༢༠༡༧༠ Khmer ១២០១៧០ Lao ໑໒໐໑໗໐ Burmese ၁၂၀၁၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120170, here are decompositions:

  • 3 + 120167 = 120170
  • 7 + 120163 = 120170
  • 13 + 120157 = 120170
  • 67 + 120103 = 120170
  • 73 + 120097 = 120170
  • 79 + 120091 = 120170
  • 103 + 120067 = 120170
  • 199 + 119971 = 120170

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕪
Mathematical Double-Struck Small Y
U+1D56A
Lowercase letter (Ll)

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

Hex color
#01D56A
RGB(1, 213, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.106.

Address
0.1.213.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.106

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 120,170 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.