Live analysis

1,000,320

1,000,320 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.).

1,000,320 (one million three hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 521. Its proper divisors sum to 2,194,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4380.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,308 1,000,309 1,000,310 1,000,311 1,000,312 1,000,313 1,000,314 1,000,315 1,000,316 1,000,317 1,000,318 1,000,319 1,000,320 1,000,321 1,000,322 1,000,323 1,000,324 1,000,325 1,000,326 1,000,327 1,000,328 1,000,329 1,000,330 1,000,331 1,000,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 230,001
Square (n²): 1,000,640,102,400
Cube (n³): 1,000,960,307,232,768,000
Divisor count: 64
σ(n) — sum of divisors: 3,194,640
φ(n) — Euler's totient: 266,240
Sum of prime factors: 543

Primality

Prime factorization: 2 ⁷ × 3 × 5 × 521

Nearest primes: 1,000,313 (−7) · 1,000,333 (+13)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 128 · 160 · 192 · 240 · 320 · 384 · 480 · 521 · 640 · 960 · 1042 · 1563 · 1920 · 2084 · 2605 · 3126 · 4168 · 5210 · 6252 · 7815 · 8336 · 10420 · 12504 · 15630 · 16672 · 20840 · 25008 · 31260 · 33344 · 41680 · 50016 · 62520 · 66688 · 83360 · 100032 · 125040 · 166720 · 200064 · 250080 · 333440 · 500160 (half) · 1000320

Aliquot sum (sum of proper divisors): 2,194,320

Factor pairs (a × b = 1,000,320)

1 × 1000320

2 × 500160

3 × 333440

4 × 250080

5 × 200064

6 × 166720

8 × 125040

10 × 100032

12 × 83360

15 × 66688

16 × 62520

20 × 50016

24 × 41680

30 × 33344

32 × 31260

40 × 25008

48 × 20840

60 × 16672

64 × 15630

80 × 12504

96 × 10420

120 × 8336

128 × 7815

160 × 6252

192 × 5210

240 × 4168

320 × 3126

384 × 2605

480 × 2084

521 × 1920

640 × 1563

960 × 1042

First multiples

1,000,320 · 2,000,640 (double) · 3,000,960 · 4,001,280 · 5,001,600 · 6,001,920 · 7,002,240 · 8,002,560 · 9,002,880 · 10,003,200

Sums & aliquot sequence

As consecutive integers: 333,439 + 333,440 + 333,441 200,062 + 200,063 + 200,064 + 200,065 + 200,066 66,681 + 66,682 + … + 66,695 3,780 + 3,781 + … + 4,035

Aliquot sequence: 1,000,320 → 2,194,320 → 4,805,232 → 7,608,408 → 11,728,152 → 21,258,588 → 32,160,820 → 35,376,944 → 36,618,448 → 35,390,832 → 56,035,608 → 85,446,552 → 129,459,048 → 194,730,552 → 332,664,888 → 514,692,312 → 772,038,528 — unresolved within range

Continued fraction of √n

√1,000,320 = [1000; (6, 3, 1, 124, 3, 1, 5, 1, 1, 499, 1, 1, 5, 1, 3, 124, 1, 3, 6, 2000)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million three hundred twenty
Ordinal: 1000320th
Binary: 11110100001110000000
Octal: 3641600
Hexadecimal: 0xF4380
Base64: D0OA
One's complement: 4,293,966,975 (32-bit)
Scientific notation: 1.00032 × 10⁶
As a duration: 1,000,320 s = 11 days, 13 hours, 52 minutes

In other bases

ternary (3) 1212211011220

quaternary (4) 3310032000

quinary (5) 224002240

senary (6) 33235040

septenary (7) 11334246

nonary (9) 1784156

undecimal (11) 623612

duodecimal (12) 402a80

tridecimal (13) 290409

tetradecimal (14) 1c0796

pentadecimal (15) 14b5d0

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬零三百二十
Chinese (financial): 壹佰萬零參佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٠٣٢٠ Devanagari १०००३२० Bengali ১০০০৩২০ Tamil ௧௦௦௦௩௨௦ Thai ๑๐๐๐๓๒๐ Tibetan ༡༠༠༠༣༢༠ Khmer ១០០០៣២០ Lao ໑໐໐໐໓໒໐ Burmese ၁၀၀၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000320, here are decompositions:

7 + 1000313 = 1000320
17 + 1000303 = 1000320
29 + 1000291 = 1000320
31 + 1000289 = 1000320
47 + 1000273 = 1000320
67 + 1000253 = 1000320
71 + 1000249 = 1000320
89 + 1000231 = 1000320

Showing the first eight; more decompositions exist.

Hex color

#0F4380

RGB(15, 67, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.128.

Address: 0.15.67.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.128

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 1,000,320 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 US1,000,320 on Google Patents ↗ Look up on USPTO ↗