number.wiki
Live analysis

120,164

120,164 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.).

120,164 (one hundred twenty thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 2,731. Written other ways, in hexadecimal, 0x1D564.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
461,021
Square (n²)
14,439,386,896
Cube (n³)
1,735,094,486,970,944
Divisor count
12
σ(n) — sum of divisors
229,488
φ(n) — Euler's totient
54,600
Sum of prime factors
2,746

Primality

Prime factorization: 2 2 × 11 × 2731

Nearest primes: 120,163 (−1) · 120,167 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 2731 · 5462 · 10924 · 30041 · 60082 (half) · 120164
Aliquot sum (sum of proper divisors): 109,324
Factor pairs (a × b = 120,164)
1 × 120164
2 × 60082
4 × 30041
11 × 10924
22 × 5462
44 × 2731
First multiples
120,164 · 240,328 (double) · 360,492 · 480,656 · 600,820 · 720,984 · 841,148 · 961,312 · 1,081,476 · 1,201,640

Sums & aliquot sequence

As consecutive integers: 15,017 + 15,018 + … + 15,024 10,919 + 10,920 + … + 10,929 1,322 + 1,323 + … + 1,409
Aliquot sequence: 120,164 109,324 84,324 112,460 123,748 92,818 59,102 32,698 16,352 20,944 32,624 30,616 28,784 35,200 59,660 73,060 92,756 — unresolved within range

Continued fraction of √n

√120,164 = [346; (1, 1, 1, 4, 1, 12, 3, 1, 7, 1, 1, 2, 21, 3, 1, 2, 2, 1, 11, 1, 9, 3, 1, 1, …)]

Representations

In words
one hundred twenty thousand one hundred sixty-four
Ordinal
120164th
Binary
11101010101100100
Octal
352544
Hexadecimal
0x1D564
Base64
AdVk
One's complement
4,294,847,131 (32-bit)
Scientific notation
1.20164 × 10⁵
As a duration
120,164 s = 1 day, 9 hours, 22 minutes, 44 seconds
In other bases
ternary (3) 20002211112
quaternary (4) 131111210
quinary (5) 12321124
senary (6) 2324152
septenary (7) 1010222
nonary (9) 202745
undecimal (11) 82310
duodecimal (12) 59658
tridecimal (13) 42905
tetradecimal (14) 31b12
pentadecimal (15) 2590e

As an angle

120,164° = 333 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκρξδʹ
Mayan (base 20)
𝋯·𝋠·𝋨·𝋤
Chinese
一十二萬零一百六十四
Chinese (financial)
壹拾貳萬零壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٠١٦٤ Devanagari १२०१६४ Bengali ১২০১৬৪ Tamil ௧௨௦௧௬௪ Thai ๑๒๐๑๖๔ Tibetan ༡༢༠༡༦༤ Khmer ១២០១៦៤ Lao ໑໒໐໑໖໔ Burmese ၁၂၀၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120164, here are decompositions:

  • 7 + 120157 = 120164
  • 43 + 120121 = 120164
  • 61 + 120103 = 120164
  • 67 + 120097 = 120164
  • 73 + 120091 = 120164
  • 97 + 120067 = 120164
  • 181 + 119983 = 120164
  • 193 + 119971 = 120164

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕤
Mathematical Double-Struck Small S
U+1D564
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 A4 (4 bytes).

Hex color
#01D564
RGB(1, 213, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.100.

Address
0.1.213.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.100

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 120,164 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 120164 first appears in π at position 411,538 of the decimal expansion (the 411,538ordinal-suffix:th 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

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