Live analysis

1,028,000

1,028,000 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.).

1,028,000 (one million twenty-eight thousand) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 257. Its proper divisors sum to 1,507,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAFA0.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,027,988 1,027,989 1,027,990 1,027,991 1,027,992 1,027,993 1,027,994 1,027,995 1,027,996 1,027,997 1,027,998 1,027,999 1,028,000 1,028,001 1,028,002 1,028,003 1,028,004 1,028,005 1,028,006 1,028,007 1,028,008 1,028,009 1,028,010 1,028,011 1,028,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,201
Square (n²): 1,056,784,000,000
Cube (n³): 1,086,373,952,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,535,624
φ(n) — Euler's totient: 409,600
Sum of prime factors: 282

Primality

Prime factorization: 2 ⁵ × 5 ³ × 257

Nearest primes: 1,027,987 (−13) · 1,028,003 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 125 · 160 · 200 · 250 · 257 · 400 · 500 · 514 · 800 · 1000 · 1028 · 1285 · 2000 · 2056 · 2570 · 4000 · 4112 · 5140 · 6425 · 8224 · 10280 · 12850 · 20560 · 25700 · 32125 · 41120 · 51400 · 64250 · 102800 · 128500 · 205600 · 257000 · 514000 (half) · 1028000

Aliquot sum (sum of proper divisors): 1,507,624

Factor pairs (a × b = 1,028,000)

1 × 1028000

2 × 514000

4 × 257000

5 × 205600

8 × 128500

10 × 102800

16 × 64250

20 × 51400

25 × 41120

32 × 32125

40 × 25700

50 × 20560

80 × 12850

100 × 10280

125 × 8224

160 × 6425

200 × 5140

250 × 4112

257 × 4000

400 × 2570

500 × 2056

514 × 2000

800 × 1285

1000 × 1028

First multiples

1,028,000 · 2,056,000 (double) · 3,084,000 · 4,112,000 · 5,140,000 · 6,168,000 · 7,196,000 · 8,224,000 · 9,252,000 · 10,280,000

Sums & aliquot sequence

As a sum of two squares: 260² + 980² = 380² + 940² = 524² + 868² = 628² + 796²

As consecutive integers: 205,598 + 205,599 + 205,600 + 205,601 + 205,602 41,108 + 41,109 + … + 41,132 16,031 + 16,032 + … + 16,094 8,162 + 8,163 + … + 8,286

Aliquot sequence: 1,028,000 → 1,507,624 → 1,336,376 → 1,169,344 → 1,398,088 → 1,223,342 → 611,674 → 436,934 → 270,682 → 145,370 → 116,314 → 85,862 → 61,354 → 30,680 → 44,920 → 56,240 → 85,120 — unresolved within range

Continued fraction of √n

√1,028,000 = [1013; (1, 9, 2, 1, 7, 1, 4, 5, 2, 2, 2, 1, 4, 5, 1, 19, 2, 3, 1, 1, 1, 1, 64, 1, …)]

Representations

In words: one million twenty-eight thousand
Ordinal: 1028000th
Binary: 11111010111110100000
Octal: 3727640
Hexadecimal: 0xFAFA0
Base64: D6+g
One's complement: 4,293,939,295 (32-bit)
Scientific notation: 1.028 × 10⁶
As a duration: 1,028,000 s = 11 days, 21 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1221020011002

quaternary (4) 3322332200

quinary (5) 230344000

senary (6) 34011132

septenary (7) 11511041

nonary (9) 1836132

undecimal (11) 642396

duodecimal (12) 416aa8

tridecimal (13) 29cbac

tetradecimal (14) 1ca8c8

pentadecimal (15) 1548d5

As an angle

1,028,000° = 2,855 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零二萬八千
Chinese (financial): 壹佰零貳萬捌仟

In other modern scripts

Eastern Arabic ١٠٢٨٠٠٠ Devanagari १०२८००० Bengali ১০২৮০০০ Tamil ௧௦௨௮௦௦௦ Thai ๑๐๒๘๐๐๐ Tibetan ༡༠༢༨༠༠༠ Khmer ១០២៨០០០ Lao ໑໐໒໘໐໐໐ Burmese ၁၀၂၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028000, here are decompositions:

13 + 1027987 = 1028000
31 + 1027969 = 1028000
109 + 1027891 = 1028000
223 + 1027777 = 1028000
241 + 1027759 = 1028000
283 + 1027717 = 1028000
307 + 1027693 = 1028000
313 + 1027687 = 1028000

Showing the first eight; more decompositions exist.

Hex color

#0FAFA0

RGB(15, 175, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.175.160.

Address: 0.15.175.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.175.160

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 8000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

8000-02-01 (DMMYYYY (Euro, single-digit day))
8000-10-02 (MMDYYYY (US, single-digit day))
8000-02-10 (DDMYYYY (Euro, single-digit month))

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 1,028,000 and was likely granted around 1912.

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

Look up US1,028,000 on Google Patents ↗ Look up on USPTO ↗