Live analysis

120,090

120,090 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.).

120,090 (one hundred twenty thousand ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,003. Its proper divisors sum to 168,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D51A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,078 120,079 120,080 120,081 120,082 120,083 120,084 120,085 120,086 120,087 120,088 120,089 120,090 120,091 120,092 120,093 120,094 120,095 120,096 120,097 120,098 120,099 120,100 120,101 120,102

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 90,021
Recamán's sequence: a(239,916) = 120,090
Square (n²): 14,421,608,100
Cube (n³): 1,731,890,916,729,000
Divisor count: 16
σ(n) — sum of divisors: 288,288
φ(n) — Euler's totient: 32,016
Sum of prime factors: 4,013

Primality

Prime factorization: 2 × 3 × 5 × 4003

Nearest primes: 120,079 (−11) · 120,091 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4003 · 8006 · 12009 · 20015 · 24018 · 40030 · 60045 (half) · 120090

Aliquot sum (sum of proper divisors): 168,198

Factor pairs (a × b = 120,090)

1 × 120090

2 × 60045

3 × 40030

5 × 24018

6 × 20015

10 × 12009

15 × 8006

30 × 4003

First multiples

120,090 · 240,180 (double) · 360,270 · 480,360 · 600,450 · 720,540 · 840,630 · 960,720 · 1,080,810 · 1,200,900

Sums & aliquot sequence

As consecutive integers: 40,029 + 40,030 + 40,031 30,021 + 30,022 + 30,023 + 30,024 24,016 + 24,017 + 24,018 + 24,019 + 24,020 10,002 + 10,003 + … + 10,013

Aliquot sequence: 120,090 → 168,198 → 192,834 → 235,806 → 235,818 → 337,302 → 498,234 → 588,966 → 797,274 → 930,192 → 1,472,928 → 2,468,352 → 4,111,584 → 6,681,576 → 11,541,624 → 17,540,616 → 26,428,344 — unresolved within range

Continued fraction of √n

√120,090 = [346; (1, 1, 5, 1, 2, 1, 9, 46, 9, 1, 2, 1, 5, 1, 1, 692)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand ninety
Ordinal: 120090th
Binary: 11101010100011010
Octal: 352432
Hexadecimal: 0x1D51A
Base64: AdUa
One's complement: 4,294,847,205 (32-bit)
Scientific notation: 1.2009 × 10⁵
As a duration: 120,090 s = 1 day, 9 hours, 21 minutes, 30 seconds

In other bases

ternary (3) 20002201210

quaternary (4) 131110122

quinary (5) 12320330

senary (6) 2323550

septenary (7) 1010055

nonary (9) 202653

undecimal (11) 82253

duodecimal (12) 595b6

tridecimal (13) 42879

tetradecimal (14) 31a9c

pentadecimal (15) 258b0

As an angle

120,090° = 333 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκϟʹ
Mayan (base 20): 𝋯·𝋠·𝋤·𝋪
Chinese: 一十二萬零九十
Chinese (financial): 壹拾貳萬零玖拾

In other modern scripts

Eastern Arabic ١٢٠٠٩٠ Devanagari १२००९० Bengali ১২০০৯০ Tamil ௧௨௦௦௯௦ Thai ๑๒๐๐๙๐ Tibetan ༡༢༠༠༩༠ Khmer ១២០០៩០ Lao ໑໒໐໐໙໐ Burmese ၁၂၀၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120090, here are decompositions:

11 + 120079 = 120090
13 + 120077 = 120090
23 + 120067 = 120090
41 + 120049 = 120090
43 + 120047 = 120090
73 + 120017 = 120090
79 + 120011 = 120090
97 + 119993 = 120090

Showing the first eight; more decompositions exist.

Unicode codepoint

𝔚

Mathematical Fraktur Capital W

U+1D51A

Uppercase letter (Lu)

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

Lookup U+1D51A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D51A

RGB(1, 213, 26)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.26.

Address: 0.1.213.26
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.26

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 120,090 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 US120,090 on Google Patents ↗ Look up on USPTO ↗