Live analysis

1,008,240

1,008,240 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.).

1,008,240 (one million eight thousand two hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,201. Its proper divisors sum to 2,118,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6270.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,228 1,008,229 1,008,230 1,008,231 1,008,232 1,008,233 1,008,234 1,008,235 1,008,236 1,008,237 1,008,238 1,008,239 1,008,240 1,008,241 1,008,242 1,008,243 1,008,244 1,008,245 1,008,246 1,008,247 1,008,248 1,008,249 1,008,250 1,008,251 1,008,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 428,001
Recamán's sequence: a(348,971) = 1,008,240
Square (n²): 1,016,547,897,600
Cube (n³): 1,024,924,252,276,224,000
Divisor count: 40
σ(n) — sum of divisors: 3,126,288
φ(n) — Euler's totient: 268,800
Sum of prime factors: 4,217

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 4201

Nearest primes: 1,008,239 (−1) · 1,008,247 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4201 · 8402 · 12603 · 16804 · 21005 · 25206 · 33608 · 42010 · 50412 · 63015 · 67216 · 84020 · 100824 · 126030 · 168040 · 201648 · 252060 · 336080 · 504120 (half) · 1008240

Aliquot sum (sum of proper divisors): 2,118,048

Factor pairs (a × b = 1,008,240)

1 × 1008240

2 × 504120

3 × 336080

4 × 252060

5 × 201648

6 × 168040

8 × 126030

10 × 100824

12 × 84020

15 × 67216

16 × 63015

20 × 50412

24 × 42010

30 × 33608

40 × 25206

48 × 21005

60 × 16804

80 × 12603

120 × 8402

240 × 4201

First multiples

1,008,240 · 2,016,480 (double) · 3,024,720 · 4,032,960 · 5,041,200 · 6,049,440 · 7,057,680 · 8,065,920 · 9,074,160 · 10,082,400

Sums & aliquot sequence

As consecutive integers: 336,079 + 336,080 + 336,081 201,646 + 201,647 + 201,648 + 201,649 + 201,650 67,209 + 67,210 + … + 67,223 31,492 + 31,493 + … + 31,523

Aliquot sequence: 1,008,240 → 2,118,048 → 3,442,080 → 7,662,048 → 12,451,080 → 28,099,320 → 56,199,000 → 151,368,360 → 382,186,200 → 928,444,200 → 1,949,734,680 → 3,979,076,520 → 8,642,955,480 → 17,311,431,720 — keeps growing

Continued fraction of √n

√1,008,240 = [1004; (8, 1, 27, 2, 1, 1, 9, 4, 14, 9, 1, 11, 1, 1, 1, 6, 3, 2, 3, 2, 2, 40, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand two hundred forty
Ordinal: 1008240th
Binary: 11110110001001110000
Octal: 3661160
Hexadecimal: 0xF6270
Base64: D2Jw
One's complement: 4,293,959,055 (32-bit)
Scientific notation: 1.00824 × 10⁶
As a duration: 1,008,240 s = 11 days, 16 hours, 4 minutes

In other bases

ternary (3) 1220020001020

quaternary (4) 3312021300

quinary (5) 224230430

senary (6) 33335440

septenary (7) 11366322

nonary (9) 1806036

undecimal (11) 629562

duodecimal (12) 407580

tridecimal (13) 293bbc

tetradecimal (14) 1c3612

pentadecimal (15) 14db10

As an angle

1,008,240° = 2,800 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬八千二百四十
Chinese (financial): 壹佰萬捌仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٨٢٤٠ Devanagari १००८२४० Bengali ১০০৮২৪০ Tamil ௧௦௦௮௨௪௦ Thai ๑๐๐๘๒๔๐ Tibetan ༡༠༠༨༢༤༠ Khmer ១០០៨២៤០ Lao ໑໐໐໘໒໔໐ Burmese ၁၀၀၈၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008240, here are decompositions:

7 + 1008233 = 1008240
11 + 1008229 = 1008240
17 + 1008223 = 1008240
31 + 1008209 = 1008240
41 + 1008199 = 1008240
47 + 1008193 = 1008240
53 + 1008187 = 1008240
59 + 1008181 = 1008240

Showing the first eight; more decompositions exist.

Hex color

#0F6270

RGB(15, 98, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.112.

Address: 0.15.98.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.112

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 1,008,240 and was likely granted around 1911.

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

Look up US1,008,240 on Google Patents ↗ Look up on USPTO ↗