Live analysis

1,008,320

1,008,320 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.).

1,008,320 (one million eight thousand three hundred twenty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 23 × 137. Its proper divisors sum to 1,515,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF62C0.

Abundant Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,008,308 1,008,309 1,008,310 1,008,311 1,008,312 1,008,313 1,008,314 1,008,315 1,008,316 1,008,317 1,008,318 1,008,319 1,008,320 1,008,321 1,008,322 1,008,323 1,008,324 1,008,325 1,008,326 1,008,327 1,008,328 1,008,329 1,008,330 1,008,331 1,008,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 238,001
Recamán's sequence: a(348,811) = 1,008,320
Square (n²): 1,016,709,222,400
Cube (n³): 1,025,168,243,130,368,000
Divisor count: 56
σ(n) — sum of divisors: 2,523,744
φ(n) — Euler's totient: 382,976
Sum of prime factors: 177

Primality

Prime factorization: 2 ⁶ × 5 × 23 × 137

Nearest primes: 1,008,317 (−3) · 1,008,323 (+3)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 32 · 40 · 46 · 64 · 80 · 92 · 115 · 137 · 160 · 184 · 230 · 274 · 320 · 368 · 460 · 548 · 685 · 736 · 920 · 1096 · 1370 · 1472 · 1840 · 2192 · 2740 · 3151 · 3680 · 4384 · 5480 · 6302 · 7360 · 8768 · 10960 · 12604 · 15755 · 21920 · 25208 · 31510 · 43840 · 50416 · 63020 · 100832 · 126040 · 201664 · 252080 · 504160 (half) · 1008320

Aliquot sum (sum of proper divisors): 1,515,424

Factor pairs (a × b = 1,008,320)

1 × 1008320

2 × 504160

4 × 252080

5 × 201664

8 × 126040

10 × 100832

16 × 63020

20 × 50416

23 × 43840

32 × 31510

40 × 25208

46 × 21920

64 × 15755

80 × 12604

92 × 10960

115 × 8768

137 × 7360

160 × 6302

184 × 5480

230 × 4384

274 × 3680

320 × 3151

368 × 2740

460 × 2192

548 × 1840

685 × 1472

736 × 1370

920 × 1096

First multiples

1,008,320 · 2,016,640 (double) · 3,024,960 · 4,033,280 · 5,041,600 · 6,049,920 · 7,058,240 · 8,066,560 · 9,074,880 · 10,083,200

Sums & aliquot sequence

As consecutive integers: 201,662 + 201,663 + 201,664 + 201,665 + 201,666 43,829 + 43,830 + … + 43,851 8,711 + 8,712 + … + 8,825 7,814 + 7,815 + … + 7,941

Aliquot sequence: 1,008,320 → 1,515,424 → 1,750,496 → 2,009,848 → 1,758,632 → 1,538,818 → 775,802 → 416,410 → 333,146 → 241,414 → 139,826 → 71,758 → 35,882 → 31,510 → 28,106 → 20,278 → 10,142 — unresolved within range

Continued fraction of √n

√1,008,320 = [1004; (6, 1, 1, 1, 1, 6, 2, 1, 10, 1, 2, 1, 2, 9, 4, 11, 1, 1, 1, 3, 2, 30, 1, 15, …)]

Representations

In words: one million eight thousand three hundred twenty
Ordinal: 1008320th
Binary: 11110110001011000000
Octal: 3661300
Hexadecimal: 0xF62C0
Base64: D2LA
One's complement: 4,293,958,975 (32-bit)
Scientific notation: 1.00832 × 10⁶
As a duration: 1,008,320 s = 11 days, 16 hours, 5 minutes, 20 seconds

In other bases

ternary (3) 1220020011012

quaternary (4) 3312023000

quinary (5) 224231240

senary (6) 33340052

septenary (7) 11366465

nonary (9) 1806135

undecimal (11) 629625

duodecimal (12) 407628

tridecimal (13) 293c51

tetradecimal (14) 1c366c

pentadecimal (15) 14db65

As an angle

1,008,320° = 2,800 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬八千三百二十
Chinese (financial): 壹佰萬捌仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٨٣٢٠ Devanagari १००८३२० Bengali ১০০৮৩২০ Tamil ௧௦௦௮௩௨௦ Thai ๑๐๐๘๓๒๐ Tibetan ༡༠༠༨༣༢༠ Khmer ១០០៨៣២០ Lao ໑໐໐໘໓໒໐ Burmese ၁၀၀၈၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008320, here are decompositions:

3 + 1008317 = 1008320
73 + 1008247 = 1008320
97 + 1008223 = 1008320
127 + 1008193 = 1008320
139 + 1008181 = 1008320
163 + 1008157 = 1008320
277 + 1008043 = 1008320
283 + 1008037 = 1008320

Showing the first eight; more decompositions exist.

Hex color

#0F62C0

RGB(15, 98, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.192.

Address: 0.15.98.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.192

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 1,008,320 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 US1,008,320 on Google Patents ↗ Look up on USPTO ↗