Live analysis

120,064

120,064 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.).

120,064 (one hundred twenty thousand sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 7 × 67. Its proper divisors sum to 157,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D500.

Abundant Number Evil Number Frugal Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

120,052 120,053 120,054 120,055 120,056 120,057 120,058 120,059 120,060 120,061 120,062 120,063 120,064 120,065 120,066 120,067 120,068 120,069 120,070 120,071 120,072 120,073 120,074 120,075 120,076

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 460,021
Recamán's sequence: a(239,968) = 120,064
Square (n²): 14,415,364,096
Cube (n³): 1,730,766,274,822,144
Divisor count: 36
σ(n) — sum of divisors: 277,984
φ(n) — Euler's totient: 50,688
Sum of prime factors: 90

Primality

Prime factorization: 2 ⁸ × 7 × 67

Nearest primes: 120,049 (−15) · 120,067 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 67 · 112 · 128 · 134 · 224 · 256 · 268 · 448 · 469 · 536 · 896 · 938 · 1072 · 1792 · 1876 · 2144 · 3752 · 4288 · 7504 · 8576 · 15008 · 17152 · 30016 · 60032 (half) · 120064

Aliquot sum (sum of proper divisors): 157,920

Factor pairs (a × b = 120,064)

1 × 120064

2 × 60032

4 × 30016

7 × 17152

8 × 15008

14 × 8576

16 × 7504

28 × 4288

32 × 3752

56 × 2144

64 × 1876

67 × 1792

112 × 1072

128 × 938

134 × 896

224 × 536

256 × 469

268 × 448

First multiples

120,064 · 240,128 (double) · 360,192 · 480,256 · 600,320 · 720,384 · 840,448 · 960,512 · 1,080,576 · 1,200,640

Sums & aliquot sequence

As consecutive integers: 17,149 + 17,150 + … + 17,155 1,759 + 1,760 + … + 1,825 22 + 23 + … + 490

Aliquot sequence: 120,064 → 157,920 → 422,688 → 956,256 → 1,914,528 → 4,635,456 → 9,385,344 → 17,625,276 → 28,580,156 → 26,139,124 → 24,613,676 → 18,684,796 → 16,528,956 → 23,369,364 → 37,661,676 → 56,975,748 → 77,652,732 — unresolved within range

Continued fraction of √n

√120,064 = [346; (1, 1, 98, 1, 1, 692)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand sixty-four
Ordinal: 120064th
Binary: 11101010100000000
Octal: 352400
Hexadecimal: 0x1D500
Base64: AdUA
One's complement: 4,294,847,231 (32-bit)
Scientific notation: 1.20064 × 10⁵
As a duration: 120,064 s = 1 day, 9 hours, 21 minutes, 4 seconds

In other bases

ternary (3) 20002200211

quaternary (4) 131110000

quinary (5) 12320224

senary (6) 2323504

septenary (7) 1010020

nonary (9) 202624

undecimal (11) 8222a

duodecimal (12) 59594

tridecimal (13) 42859

tetradecimal (14) 31a80

pentadecimal (15) 25894

As an angle

120,064° = 333 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκξδʹ
Mayan (base 20): 𝋯·𝋠·𝋣·𝋤
Chinese: 一十二萬零六十四
Chinese (financial): 壹拾貳萬零陸拾肆

In other modern scripts

Eastern Arabic ١٢٠٠٦٤ Devanagari १२००६४ Bengali ১২০০৬৪ Tamil ௧௨௦௦௬௪ Thai ๑๒๐๐๖๔ Tibetan ༡༢༠༠༦༤ Khmer ១២០០៦៤ Lao ໑໒໐໐໖໔ Burmese ၁၂၀၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120064, here are decompositions:

17 + 120047 = 120064
23 + 120041 = 120064
47 + 120017 = 120064
53 + 120011 = 120064
71 + 119993 = 120064
83 + 119981 = 120064
101 + 119963 = 120064
173 + 119891 = 120064

Showing the first eight; more decompositions exist.

Unicode codepoint

𝔀

Mathematical Bold Script Small W

U+1D500

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 94 80 (4 bytes).

Lookup U+1D500 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D500

RGB(1, 213, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.0.

Address: 0.1.213.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.0

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 120,064 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 US120,064 on Google Patents ↗ Look up on USPTO ↗