Live analysis

501,240

501,240 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.).

501,240 (five hundred one thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 4,177. Its proper divisors sum to 1,002,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A5F8.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

501,228 501,229 501,230 501,231 501,232 501,233 501,234 501,235 501,236 501,237 501,238 501,239 501,240 501,241 501,242 501,243 501,244 501,245 501,246 501,247 501,248 501,249 501,250 501,251 501,252

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 42,105
Square (n²): 251,241,537,600
Cube (n³): 125,932,308,306,624,000
Divisor count: 32
σ(n) — sum of divisors: 1,504,080
φ(n) — Euler's totient: 133,632
Sum of prime factors: 4,191

Primality

Prime factorization: 2 ³ × 3 × 5 × 4177

Nearest primes: 501,233 (−7) · 501,257 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 4177 · 8354 · 12531 · 16708 · 20885 · 25062 · 33416 · 41770 · 50124 · 62655 · 83540 · 100248 · 125310 · 167080 · 250620 (half) · 501240

Aliquot sum (sum of proper divisors): 1,002,840

Factor pairs (a × b = 501,240)

1 × 501240

2 × 250620

3 × 167080

4 × 125310

5 × 100248

6 × 83540

8 × 62655

10 × 50124

12 × 41770

15 × 33416

20 × 25062

24 × 20885

30 × 16708

40 × 12531

60 × 8354

120 × 4177

First multiples

501,240 · 1,002,480 (double) · 1,503,720 · 2,004,960 · 2,506,200 · 3,007,440 · 3,508,680 · 4,009,920 · 4,511,160 · 5,012,400

Sums & aliquot sequence

As consecutive integers: 167,079 + 167,080 + 167,081 100,246 + 100,247 + 100,248 + 100,249 + 100,250 33,409 + 33,410 + … + 33,423 31,320 + 31,321 + … + 31,335

Aliquot sequence: 501,240 → 1,002,840 → 2,077,320 → 5,047,800 → 11,022,600 → 23,149,320 → 46,618,680 → 93,237,720 → 187,117,320 → 466,066,680 → 1,000,210,440 → 2,000,421,240 → 4,000,842,840 → 8,001,686,040 → 16,003,372,440 — keeps growing

Continued fraction of √n

√501,240 = [707; (1, 57, 1, 1414)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand two hundred forty
Ordinal: 501240th
Binary: 1111010010111111000
Octal: 1722770
Hexadecimal: 0x7A5F8
Base64: B6X4
One's complement: 4,294,466,055 (32-bit)
Scientific notation: 5.0124 × 10⁵
As a duration: 501,240 s = 5 days, 19 hours, 14 minutes

In other bases

ternary (3) 221110120110

quaternary (4) 1322113320

quinary (5) 112014430

senary (6) 14424320

septenary (7) 4155225

nonary (9) 843513

undecimal (11) 312653

duodecimal (12) 2020a0

tridecimal (13) 1471bc

tetradecimal (14) d094c

pentadecimal (15) 9d7b0

As an angle

501,240° = 1,392 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φασμʹ
Chinese: 五十萬一千二百四十
Chinese (financial): 伍拾萬壹仟貳佰肆拾

In other modern scripts

Eastern Arabic ٥٠١٢٤٠ Devanagari ५०१२४० Bengali ৫০১২৪০ Tamil ௫௦௧௨௪௦ Thai ๕๐๑๒๔๐ Tibetan ༥༠༡༢༤༠ Khmer ៥០១២៤០ Lao ໕໐໑໒໔໐ Burmese ၅၀၁၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501240, here are decompositions:

7 + 501233 = 501240
11 + 501229 = 501240
17 + 501223 = 501240
23 + 501217 = 501240
31 + 501209 = 501240
37 + 501203 = 501240
43 + 501197 = 501240
53 + 501187 = 501240

Showing the first eight; more decompositions exist.

Hex color

#07A5F8

RGB(7, 165, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.248.

Address: 0.7.165.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.165.248

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 501,240 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US501,240 on Google Patents ↗ Look up on USPTO ↗