Live analysis

120,200

120,200 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.).

120,200 (one hundred twenty thousand two hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 601. Its proper divisors sum to 159,730, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D588.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

120,188 120,189 120,190 120,191 120,192 120,193 120,194 120,195 120,196 120,197 120,198 120,199 120,200 120,201 120,202 120,203 120,204 120,205 120,206 120,207 120,208 120,209 120,210 120,211 120,212

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 2,021
Square (n²): 14,448,040,000
Cube (n³): 1,736,654,408,000,000
Divisor count: 24
σ(n) — sum of divisors: 279,930
φ(n) — Euler's totient: 48,000
Sum of prime factors: 617

Primality

Prime factorization: 2 ³ × 5 ² × 601

Nearest primes: 120,199 (−1) · 120,209 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 601 · 1202 · 2404 · 3005 · 4808 · 6010 · 12020 · 15025 · 24040 · 30050 · 60100 (half) · 120200

Aliquot sum (sum of proper divisors): 159,730

Factor pairs (a × b = 120,200)

1 × 120200

2 × 60100

4 × 30050

5 × 24040

8 × 15025

10 × 12020

20 × 6010

25 × 4808

40 × 3005

50 × 2404

100 × 1202

200 × 601

First multiples

120,200 · 240,400 (double) · 360,600 · 480,800 · 601,000 · 721,200 · 841,400 · 961,600 · 1,081,800 · 1,202,000

Sums & aliquot sequence

As a sum of two squares: 22² + 346² = 118² + 326² = 190² + 290²

As consecutive integers: 24,038 + 24,039 + 24,040 + 24,041 + 24,042 7,505 + 7,506 + … + 7,520 4,796 + 4,797 + … + 4,820 1,463 + 1,464 + … + 1,542

Aliquot sequence: 120,200 → 159,730 → 127,802 → 63,904 → 61,970 → 49,594 → 25,754 → 13,606 → 6,806 → 3,778 → 1,892 → 1,804 → 1,724 → 1,300 → 1,738 → 1,142 → 574 — unresolved within range

Continued fraction of √n

√120,200 = [346; (1, 2, 3, 7, 2, 27, 3, 1, 2, 1, 2, 1, 2, 1, 3, 27, 2, 7, 3, 2, 1, 692)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand two hundred
Ordinal: 120200th
Binary: 11101010110001000
Octal: 352610
Hexadecimal: 0x1D588
Base64: AdWI
One's complement: 4,294,847,095 (32-bit)
Scientific notation: 1.202 × 10⁵
As a duration: 120,200 s = 1 day, 9 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 20002212212

quaternary (4) 131112020

quinary (5) 12321300

senary (6) 2324252

septenary (7) 1010303

nonary (9) 202785

undecimal (11) 82343

duodecimal (12) 59688

tridecimal (13) 42932

tetradecimal (14) 31b3a

pentadecimal (15) 25935

As an angle

120,200° = 333 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢
Greek (Milesian): ͵ρκσʹ
Mayan (base 20): 𝋯·𝋠·𝋪·𝋠
Chinese: 一十二萬零二百
Chinese (financial): 壹拾貳萬零貳佰

In other modern scripts

Eastern Arabic ١٢٠٢٠٠ Devanagari १२०२०० Bengali ১২০২০০ Tamil ௧௨௦௨௦௦ Thai ๑๒๐๒๐๐ Tibetan ༡༢༠༢༠༠ Khmer ១២០២០០ Lao ໑໒໐໒໐໐ Burmese ၁၂၀၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120200, here are decompositions:

7 + 120193 = 120200
19 + 120181 = 120200
37 + 120163 = 120200
43 + 120157 = 120200
79 + 120121 = 120200
97 + 120103 = 120200
103 + 120097 = 120200
109 + 120091 = 120200

Showing the first eight; more decompositions exist.

Unicode codepoint

𝖈

Mathematical Bold Fraktur Small C

U+1D588

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 88 (4 bytes).

Lookup U+1D588 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D588

RGB(1, 213, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.136.

Address: 0.1.213.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.136

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 120,200 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 US120,200 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120200 first appears in π at position 864,681 of the decimal expansion (the 864,681ordinal-suffix:st 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 120200 on Pi Search ↗