Live analysis

120,168

120,168 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.).

120,168 (one hundred twenty thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,669. Its proper divisors sum to 205,482, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D568.

Abundant Number Gapful Number Harshad / Niven Odious Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

120,156 120,157 120,158 120,159 120,160 120,161 120,162 120,163 120,164 120,165 120,166 120,167 120,168 120,169 120,170 120,171 120,172 120,173 120,174 120,175 120,176 120,177 120,178 120,179 120,180

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 861,021
Square (n²): 14,440,348,224
Cube (n³): 1,735,267,765,381,632
Divisor count: 24
σ(n) — sum of divisors: 325,650
φ(n) — Euler's totient: 40,032
Sum of prime factors: 1,681

Primality

Prime factorization: 2 ³ × 3 ² × 1669

Nearest primes: 120,167 (−1) · 120,181 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1669 · 3338 · 5007 · 6676 · 10014 · 13352 · 15021 · 20028 · 30042 · 40056 · 60084 (half) · 120168

Aliquot sum (sum of proper divisors): 205,482

Factor pairs (a × b = 120,168)

1 × 120168

2 × 60084

3 × 40056

4 × 30042

6 × 20028

8 × 15021

9 × 13352

12 × 10014

18 × 6676

24 × 5007

36 × 3338

72 × 1669

First multiples

120,168 · 240,336 (double) · 360,504 · 480,672 · 600,840 · 721,008 · 841,176 · 961,344 · 1,081,512 · 1,201,680

Sums & aliquot sequence

As a sum of two squares: 138² + 318²

As consecutive integers: 40,055 + 40,056 + 40,057 13,348 + 13,349 + … + 13,356 7,503 + 7,504 + … + 7,518 2,480 + 2,481 + … + 2,527

Aliquot sequence: 120,168 → 205,482 → 223,638 → 223,650 → 472,734 → 551,562 → 680,502 → 680,514 → 727,806 → 743,442 → 1,013,742 → 1,239,138 → 1,537,812 → 2,594,988 → 4,561,980 → 8,326,980 → 16,932,072 — unresolved within range

Continued fraction of √n

√120,168 = [346; (1, 1, 1, 7, 4, 1, 2, 1, 1, 5, 6, 2, 18, 1, 3, 1, 8, 1, 29, 4, 14, 1, 1, 76, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand one hundred sixty-eight
Ordinal: 120168th
Binary: 11101010101101000
Octal: 352550
Hexadecimal: 0x1D568
Base64: AdVo
One's complement: 4,294,847,127 (32-bit)
Scientific notation: 1.20168 × 10⁵
As a duration: 120,168 s = 1 day, 9 hours, 22 minutes, 48 seconds

In other bases

ternary (3) 20002211200

quaternary (4) 131111220

quinary (5) 12321133

senary (6) 2324200

septenary (7) 1010226

nonary (9) 202750

undecimal (11) 82314

duodecimal (12) 59660

tridecimal (13) 42909

tetradecimal (14) 31b16

pentadecimal (15) 25913

As an angle

120,168° = 333 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκρξηʹ
Mayan (base 20): 𝋯·𝋠·𝋨·𝋨
Chinese: 一十二萬零一百六十八
Chinese (financial): 壹拾貳萬零壹佰陸拾捌

In other modern scripts

Eastern Arabic ١٢٠١٦٨ Devanagari १२०१६८ Bengali ১২০১৬৮ Tamil ௧௨௦௧௬௮ Thai ๑๒๐๑๖๘ Tibetan ༡༢༠༡༦༨ Khmer ១២០១៦៨ Lao ໑໒໐໑໖໘ Burmese ၁၂၀၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120168, here are decompositions:

5 + 120163 = 120168
11 + 120157 = 120168
47 + 120121 = 120168
71 + 120097 = 120168
89 + 120079 = 120168
101 + 120067 = 120168
127 + 120041 = 120168
151 + 120017 = 120168

Showing the first eight; more decompositions exist.

Unicode codepoint

𝕨

Mathematical Double-Struck Small W

U+1D568

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 A8 (4 bytes).

Lookup U+1D568 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D568

RGB(1, 213, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.104.

Address: 0.1.213.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.104

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 120,168 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 US120,168 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120168 first appears in π at position 721,024 of the decimal expansion (the 721,024ordinal-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 120168 on Pi Search ↗