Live analysis

120,504

120,504 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.).

120,504 (one hundred twenty thousand five hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,021. Its proper divisors sum to 180,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6B8.

Abundant Number Evil Number Harshad / Niven Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

120,492 120,493 120,494 120,495 120,496 120,497 120,498 120,499 120,500 120,501 120,502 120,503 120,504 120,505 120,506 120,507 120,508 120,509 120,510 120,511 120,512 120,513 120,514 120,515 120,516

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 405,021
Square (n²): 14,521,214,016
Cube (n³): 1,749,864,373,784,064
Divisor count: 16
σ(n) — sum of divisors: 301,320
φ(n) — Euler's totient: 40,160
Sum of prime factors: 5,030

Primality

Prime factorization: 2 ³ × 3 × 5021

Nearest primes: 120,503 (−1) · 120,511 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5021 · 10042 · 15063 · 20084 · 30126 · 40168 · 60252 (half) · 120504

Aliquot sum (sum of proper divisors): 180,816

Factor pairs (a × b = 120,504)

1 × 120504

2 × 60252

3 × 40168

4 × 30126

6 × 20084

8 × 15063

12 × 10042

24 × 5021

First multiples

120,504 · 241,008 (double) · 361,512 · 482,016 · 602,520 · 723,024 · 843,528 · 964,032 · 1,084,536 · 1,205,040

Sums & aliquot sequence

As consecutive integers: 40,167 + 40,168 + 40,169 7,524 + 7,525 + … + 7,539 2,487 + 2,488 + … + 2,534

Aliquot sequence: 120,504 → 180,816 → 286,416 → 658,836 → 1,006,646 → 535,594 → 267,800 → 409,240 → 583,640 → 729,640 → 1,117,160 → 1,626,040 → 2,456,360 → 3,070,540 → 4,386,644 → 3,694,156 → 2,770,624 — unresolved within range

Continued fraction of √n

√120,504 = [347; (7, 3, 3, 1, 5, 4, 1, 1, 1, 1, 2, 8, 1, 3, 34, 2, 5, 3, 2, 2, 2, 4, 2, 1, …)]

Representations

In words: one hundred twenty thousand five hundred four
Ordinal: 120504th
Binary: 11101011010111000
Octal: 353270
Hexadecimal: 0x1D6B8
Base64: Ada4
One's complement: 4,294,846,791 (32-bit)
Scientific notation: 1.20504 × 10⁵
As a duration: 120,504 s = 1 day, 9 hours, 28 minutes, 24 seconds

In other bases

ternary (3) 20010022010

quaternary (4) 131122320

quinary (5) 12324004

senary (6) 2325520

septenary (7) 1011216

nonary (9) 203263

undecimal (11) 8259a

duodecimal (12) 598a0

tridecimal (13) 42b07

tetradecimal (14) 31cb6

pentadecimal (15) 25a89

As an angle

120,504° = 334 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκφδʹ
Mayan (base 20): 𝋯·𝋡·𝋥·𝋤
Chinese: 一十二萬零五百零四
Chinese (financial): 壹拾貳萬零伍佰零肆

In other modern scripts

Eastern Arabic ١٢٠٥٠٤ Devanagari १२०५०४ Bengali ১২০৫০৪ Tamil ௧௨௦௫௦௪ Thai ๑๒๐๕๐๔ Tibetan ༡༢༠༥༠༤ Khmer ១២០៥០៤ Lao ໑໒໐໕໐໔ Burmese ၁၂၀၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120504, here are decompositions:

31 + 120473 = 120504
73 + 120431 = 120504
103 + 120401 = 120504
107 + 120397 = 120504
113 + 120391 = 120504
173 + 120331 = 120504
211 + 120293 = 120504
227 + 120277 = 120504

Showing the first eight; more decompositions exist.

Unicode codepoint

𝚸

Mathematical Bold Capital Rho

U+1D6B8

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9A B8 (4 bytes).

Lookup U+1D6B8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D6B8

RGB(1, 214, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.184.

Address: 0.1.214.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.184

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 120,504 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 US120,504 on Google Patents ↗ Look up on USPTO ↗