Live analysis

120,066

120,066 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.).

120,066 (one hundred twenty thousand sixty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 20,011. Its proper divisors sum to 120,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D502.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,054 120,055 120,056 120,057 120,058 120,059 120,060 120,061 120,062 120,063 120,064 120,065 120,066 120,067 120,068 120,069 120,070 120,071 120,072 120,073 120,074 120,075 120,076 120,077 120,078

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 660,021
Recamán's sequence: a(239,964) = 120,066
Square (n²): 14,415,844,356
Cube (n³): 1,730,852,768,447,496
Divisor count: 8
σ(n) — sum of divisors: 240,144
φ(n) — Euler's totient: 40,020
Sum of prime factors: 20,016

Primality

Prime factorization: 2 × 3 × 20011

Nearest primes: 120,049 (−17) · 120,067 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 20011 · 40022 · 60033 (half) · 120066

Aliquot sum (sum of proper divisors): 120,078

Factor pairs (a × b = 120,066)

1 × 120066

2 × 60033

3 × 40022

6 × 20011

First multiples

120,066 · 240,132 (double) · 360,198 · 480,264 · 600,330 · 720,396 · 840,462 · 960,528 · 1,080,594 · 1,200,660

Sums & aliquot sequence

As consecutive integers: 40,021 + 40,022 + 40,023 30,015 + 30,016 + 30,017 + 30,018 10,000 + 10,001 + … + 10,011

Aliquot sequence: 120,066 → 120,078 → 177,570 → 284,346 → 331,776 → 659,335 → 137,705 → 27,547 → 2,465 → 775 → 217 → 39 → 17 → 1 → 0 — terminates at zero

Continued fraction of √n

√120,066 = [346; (1, 1, 45, 1, 2, 2, 1, 27, 49, 2, 6, 1, 1, 2, 1, 3, 4, 8, 1, 1, 6, 13, 1, 98, …)]

Representations

In words: one hundred twenty thousand sixty-six
Ordinal: 120066th
Binary: 11101010100000010
Octal: 352402
Hexadecimal: 0x1D502
Base64: AdUC
One's complement: 4,294,847,229 (32-bit)
Scientific notation: 1.20066 × 10⁵
As a duration: 120,066 s = 1 day, 9 hours, 21 minutes, 6 seconds

In other bases

ternary (3) 20002200220

quaternary (4) 131110002

quinary (5) 12320231

senary (6) 2323510

septenary (7) 1010022

nonary (9) 202626

undecimal (11) 82231

duodecimal (12) 59596

tridecimal (13) 4285b

tetradecimal (14) 31a82

pentadecimal (15) 25896

As an angle

120,066° = 333 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκξϛʹ
Mayan (base 20): 𝋯·𝋠·𝋣·𝋦
Chinese: 一十二萬零六十六
Chinese (financial): 壹拾貳萬零陸拾陸

In other modern scripts

Eastern Arabic ١٢٠٠٦٦ Devanagari १२००६६ Bengali ১২০০৬৬ Tamil ௧௨௦௦௬௬ Thai ๑๒๐๐๖๖ Tibetan ༡༢༠༠༦༦ Khmer ១២០០៦៦ Lao ໑໒໐໐໖໖ Burmese ၁၂၀၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120066, here are decompositions:

17 + 120049 = 120066
19 + 120047 = 120066
73 + 119993 = 120066
83 + 119983 = 120066
103 + 119963 = 120066
113 + 119953 = 120066
137 + 119929 = 120066
197 + 119869 = 120066

Showing the first eight; more decompositions exist.

Unicode codepoint

𝔂

Mathematical Bold Script Small Y

U+1D502

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 94 82 (4 bytes).

Lookup U+1D502 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D502

RGB(1, 213, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.2.

Address: 0.1.213.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.2

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 120,066 and was likely granted around 1871.

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

Look up US120,066 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120066 first appears in π at position 754,660 of the decimal expansion (the 754,660ordinal-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.

Look up 120066 on Pi Search ↗