Live analysis

120,036

120,036 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.).

120,036 (one hundred twenty thousand thirty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,429. Its proper divisors sum to 200,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4E4.

Abundant Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,024 120,025 120,026 120,027 120,028 120,029 120,030 120,031 120,032 120,033 120,034 120,035 120,036 120,037 120,038 120,039 120,040 120,041 120,042 120,043 120,044 120,045 120,046 120,047 120,048

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 630,021
Recamán's sequence: a(240,024) = 120,036
Square (n²): 14,408,641,296
Cube (n³): 1,729,555,666,606,656
Divisor count: 24
σ(n) — sum of divisors: 320,320
φ(n) — Euler's totient: 34,272
Sum of prime factors: 1,443

Primality

Prime factorization: 2 ² × 3 × 7 × 1429

Nearest primes: 120,017 (−19) · 120,041 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 1429 · 2858 · 4287 · 5716 · 8574 · 10003 · 17148 · 20006 · 30009 · 40012 · 60018 (half) · 120036

Aliquot sum (sum of proper divisors): 200,284

Factor pairs (a × b = 120,036)

1 × 120036

2 × 60018

3 × 40012

4 × 30009

6 × 20006

7 × 17148

12 × 10003

14 × 8574

21 × 5716

28 × 4287

42 × 2858

84 × 1429

First multiples

120,036 · 240,072 (double) · 360,108 · 480,144 · 600,180 · 720,216 · 840,252 · 960,288 · 1,080,324 · 1,200,360

Sums & aliquot sequence

As consecutive integers: 40,011 + 40,012 + 40,013 17,145 + 17,146 + … + 17,151 15,001 + 15,002 + … + 15,008 5,706 + 5,707 + … + 5,726

Aliquot sequence: 120,036 → 200,284 → 219,044 → 219,100 → 326,004 → 543,564 → 1,069,236 → 2,020,396 → 2,092,244 → 2,473,324 → 2,562,056 → 2,928,184 → 3,346,616 → 4,378,024 → 5,003,576 → 4,930,264 → 4,466,456 — unresolved within range

Continued fraction of √n

√120,036 = [346; (2, 6, 10, 27, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 3, 1, 2, 1, 5, 11, 2, 1, 2, 24, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand thirty-six
Ordinal: 120036th
Binary: 11101010011100100
Octal: 352344
Hexadecimal: 0x1D4E4
Base64: AdTk
One's complement: 4,294,847,259 (32-bit)
Scientific notation: 1.20036 × 10⁵
As a duration: 120,036 s = 1 day, 9 hours, 20 minutes, 36 seconds

In other bases

ternary (3) 20002122210

quaternary (4) 131103210

quinary (5) 12320121

senary (6) 2323420

septenary (7) 1006650

nonary (9) 202583

undecimal (11) 82204

duodecimal (12) 59570

tridecimal (13) 42837

tetradecimal (14) 31a60

pentadecimal (15) 25876

As an angle

120,036° = 333 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκλϛʹ
Mayan (base 20): 𝋯·𝋠·𝋡·𝋰
Chinese: 一十二萬零三十六
Chinese (financial): 壹拾貳萬零參拾陸

In other modern scripts

Eastern Arabic ١٢٠٠٣٦ Devanagari १२००३६ Bengali ১২০০৩৬ Tamil ௧௨௦௦௩௬ Thai ๑๒๐๐๓๖ Tibetan ༡༢༠༠༣༦ Khmer ១២០០៣៦ Lao ໑໒໐໐໓໖ Burmese ၁၂၀၀၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120036, here are decompositions:

19 + 120017 = 120036
43 + 119993 = 120036
53 + 119983 = 120036
73 + 119963 = 120036
83 + 119953 = 120036
107 + 119929 = 120036
113 + 119923 = 120036
167 + 119869 = 120036

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓤

Mathematical Bold Script Capital U

U+1D4E4

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 A4 (4 bytes).

Lookup U+1D4E4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4E4

RGB(1, 212, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.228.

Address: 0.1.212.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.228

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 120,036 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 US120,036 on Google Patents ↗ Look up on USPTO ↗