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120,190

120,190 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.).

120,190 (one hundred twenty thousand one hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 17 × 101. Its proper divisors sum to 144,194, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D57E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
91,021
Square (n²)
14,445,636,100
Cube (n³)
1,736,221,002,859,000
Divisor count
32
σ(n) — sum of divisors
264,384
φ(n) — Euler's totient
38,400
Sum of prime factors
132

Primality

Prime factorization: 2 × 5 × 7 × 17 × 101

Nearest primes: 120,181 (−9) · 120,193 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 17 · 34 · 35 · 70 · 85 · 101 · 119 · 170 · 202 · 238 · 505 · 595 · 707 · 1010 · 1190 · 1414 · 1717 · 3434 · 3535 · 7070 · 8585 · 12019 · 17170 · 24038 · 60095 (half) · 120190
Aliquot sum (sum of proper divisors): 144,194
Factor pairs (a × b = 120,190)
1 × 120190
2 × 60095
5 × 24038
7 × 17170
10 × 12019
14 × 8585
17 × 7070
34 × 3535
35 × 3434
70 × 1717
85 × 1414
101 × 1190
119 × 1010
170 × 707
202 × 595
238 × 505
First multiples
120,190 · 240,380 (double) · 360,570 · 480,760 · 600,950 · 721,140 · 841,330 · 961,520 · 1,081,710 · 1,201,900

Sums & aliquot sequence

As consecutive integers: 30,046 + 30,047 + 30,048 + 30,049 24,036 + 24,037 + 24,038 + 24,039 + 24,040 17,167 + 17,168 + … + 17,173 7,062 + 7,063 + … + 7,078
Aliquot sequence: 120,190 144,194 84,874 42,440 53,140 58,496 58,294 29,150 31,114 16,694 9,874 4,940 6,820 9,308 8,332 6,256 7,136 — unresolved within range

Continued fraction of √n

√120,190 = [346; (1, 2, 5, 1, 32, 5, 1, 2, 3, 76, 1, 2, 1, 7, 1, 4, 3, 2, 6, 2, 3, 4, 1, 7, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand one hundred ninety
Ordinal
120190th
Binary
11101010101111110
Octal
352576
Hexadecimal
0x1D57E
Base64
AdV+
One's complement
4,294,847,105 (32-bit)
Scientific notation
1.2019 × 10⁵
As a duration
120,190 s = 1 day, 9 hours, 23 minutes, 10 seconds
In other bases
ternary (3) 20002212111
quaternary (4) 131111332
quinary (5) 12321230
senary (6) 2324234
septenary (7) 1010260
nonary (9) 202774
undecimal (11) 82334
duodecimal (12) 5967a
tridecimal (13) 42925
tetradecimal (14) 31b30
pentadecimal (15) 2592a

As an angle

120,190° = 333 × 360° + 310°
310° ≈ 5.411 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκρϟʹ
Mayan (base 20)
𝋯·𝋠·𝋩·𝋪
Chinese
一十二萬零一百九十
Chinese (financial)
壹拾貳萬零壹佰玖拾
In other modern scripts
Eastern Arabic ١٢٠١٩٠ Devanagari १२०१९० Bengali ১২০১৯০ Tamil ௧௨௦௧௯௦ Thai ๑๒๐๑๙๐ Tibetan ༡༢༠༡༩༠ Khmer ១២០១៩០ Lao ໑໒໐໑໙໐ Burmese ၁၂၀၁၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120190, here are decompositions:

  • 23 + 120167 = 120190
  • 113 + 120077 = 120190
  • 149 + 120041 = 120190
  • 173 + 120017 = 120190
  • 179 + 120011 = 120190
  • 197 + 119993 = 120190
  • 227 + 119963 = 120190
  • 269 + 119921 = 120190

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕾
Mathematical Bold Fraktur Capital S
U+1D57E
Uppercase letter (Lu)

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

Hex color
#01D57E
RGB(1, 213, 126)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.126.

Address
0.1.213.126
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.126

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 120,190 and was likely granted around 1871.

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

Position in π

The digit sequence 120190 first appears in π at position 243 of the decimal expansion (the 243ordinal-suffix:rd 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