Live analysis

120,020

120,020 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.).

120,020 (one hundred twenty thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 353. Its proper divisors sum to 147,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4D4.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,008 120,009 120,010 120,011 120,012 120,013 120,014 120,015 120,016 120,017 120,018 120,019 120,020 120,021 120,022 120,023 120,024 120,025 120,026 120,027 120,028 120,029 120,030 120,031 120,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 20,021
Recamán's sequence: a(240,056) = 120,020
Square (n²): 14,404,800,400
Cube (n³): 1,728,864,144,008,000
Divisor count: 24
σ(n) — sum of divisors: 267,624
φ(n) — Euler's totient: 45,056
Sum of prime factors: 379

Primality

Prime factorization: 2 ² × 5 × 17 × 353

Nearest primes: 120,017 (−3) · 120,041 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 17 · 20 · 34 · 68 · 85 · 170 · 340 · 353 · 706 · 1412 · 1765 · 3530 · 6001 · 7060 · 12002 · 24004 · 30005 · 60010 (half) · 120020

Aliquot sum (sum of proper divisors): 147,604

Factor pairs (a × b = 120,020)

1 × 120020

2 × 60010

4 × 30005

5 × 24004

10 × 12002

17 × 7060

20 × 6001

34 × 3530

68 × 1765

85 × 1412

170 × 706

340 × 353

First multiples

120,020 · 240,040 (double) · 360,060 · 480,080 · 600,100 · 720,120 · 840,140 · 960,160 · 1,080,180 · 1,200,200

Sums & aliquot sequence

As a sum of two squares: 76² + 338² = 92² + 334² = 142² + 316² = 212² + 274²

As consecutive integers: 24,002 + 24,003 + 24,004 + 24,005 + 24,006 14,999 + 15,000 + … + 15,006 7,052 + 7,053 + … + 7,068 2,981 + 2,982 + … + 3,020

Aliquot sequence: 120,020 → 147,604 → 110,710 → 88,586 → 44,296 → 53,174 → 33,874 → 16,940 → 27,748 → 27,804 → 46,564 → 46,620 → 119,364 → 216,636 → 361,284 → 799,932 → 1,377,348 — unresolved within range

Continued fraction of √n

√120,020 = [346; (2, 3, 1, 1, 1, 1, 172, 1, 1, 1, 1, 3, 2, 692)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand twenty
Ordinal: 120020th
Binary: 11101010011010100
Octal: 352324
Hexadecimal: 0x1D4D4
Base64: AdTU
One's complement: 4,294,847,275 (32-bit)
Scientific notation: 1.2002 × 10⁵
As a duration: 120,020 s = 1 day, 9 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 20002122012

quaternary (4) 131103110

quinary (5) 12320040

senary (6) 2323352

septenary (7) 1006625

nonary (9) 202565

undecimal (11) 8219a

duodecimal (12) 59558

tridecimal (13) 42824

tetradecimal (14) 31a4c

pentadecimal (15) 25865

Palindromic in base 13

As an angle

120,020° = 333 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆
Greek (Milesian): ͵ρκκʹ
Mayan (base 20): 𝋯·𝋠·𝋡·𝋠
Chinese: 一十二萬零二十
Chinese (financial): 壹拾貳萬零貳拾

In other modern scripts

Eastern Arabic ١٢٠٠٢٠ Devanagari १२००२० Bengali ১২০০২০ Tamil ௧௨௦௦௨௦ Thai ๑๒๐๐๒๐ Tibetan ༡༢༠༠༢༠ Khmer ១២០០២០ Lao ໑໒໐໐໒໐ Burmese ၁၂၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120020, here are decompositions:

3 + 120017 = 120020
37 + 119983 = 120020
67 + 119953 = 120020
97 + 119923 = 120020
139 + 119881 = 120020
151 + 119869 = 120020
181 + 119839 = 120020
193 + 119827 = 120020

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓔

Mathematical Bold Script Capital E

U+1D4D4

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 94 (4 bytes).

Lookup U+1D4D4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4D4

RGB(1, 212, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.212.

Address: 0.1.212.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.212

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 120,020 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 US120,020 on Google Patents ↗ Look up on USPTO ↗