Live analysis

1,024,080

1,024,080 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.).

1,024,080 (one million twenty-four thousand eighty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 17 × 251. Its proper divisors sum to 2,350,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA050.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,024,068 1,024,069 1,024,070 1,024,071 1,024,072 1,024,073 1,024,074 1,024,075 1,024,076 1,024,077 1,024,078 1,024,079 1,024,080 1,024,081 1,024,082 1,024,083 1,024,084 1,024,085 1,024,086 1,024,087 1,024,088 1,024,089 1,024,090 1,024,091 1,024,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 804,201
Square (n²): 1,048,739,846,400
Cube (n³): 1,073,993,501,901,312,000
Divisor count: 80
σ(n) — sum of divisors: 3,374,784
φ(n) — Euler's totient: 256,000
Sum of prime factors: 284

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 17 × 251

Nearest primes: 1,024,073 (−7) · 1,024,087 (+7)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 30 · 34 · 40 · 48 · 51 · 60 · 68 · 80 · 85 · 102 · 120 · 136 · 170 · 204 · 240 · 251 · 255 · 272 · 340 · 408 · 502 · 510 · 680 · 753 · 816 · 1004 · 1020 · 1255 · 1360 · 1506 · 2008 · 2040 · 2510 · 3012 · 3765 · 4016 · 4080 · 4267 · 5020 · 6024 · 7530 · 8534 · 10040 · 12048 · 12801 · 15060 · 17068 · 20080 · 21335 · 25602 · 30120 · 34136 · 42670 · 51204 · 60240 · 64005 · 68272 · 85340 · 102408 · 128010 · 170680 · 204816 · 256020 · 341360 · 512040 (half) · 1024080

Aliquot sum (sum of proper divisors): 2,350,704

Factor pairs (a × b = 1,024,080)

1 × 1024080

2 × 512040

3 × 341360

4 × 256020

5 × 204816

6 × 170680

8 × 128010

10 × 102408

12 × 85340

15 × 68272

16 × 64005

17 × 60240

20 × 51204

24 × 42670

30 × 34136

34 × 30120

40 × 25602

48 × 21335

51 × 20080

60 × 17068

68 × 15060

80 × 12801

85 × 12048

102 × 10040

120 × 8534

136 × 7530

170 × 6024

204 × 5020

240 × 4267

251 × 4080

255 × 4016

272 × 3765

340 × 3012

408 × 2510

502 × 2040

510 × 2008

680 × 1506

753 × 1360

816 × 1255

1004 × 1020

First multiples

1,024,080 · 2,048,160 (double) · 3,072,240 · 4,096,320 · 5,120,400 · 6,144,480 · 7,168,560 · 8,192,640 · 9,216,720 · 10,240,800

Sums & aliquot sequence

As consecutive integers: 341,359 + 341,360 + 341,361 204,814 + 204,815 + 204,816 + 204,817 + 204,818 68,265 + 68,266 + … + 68,279 60,232 + 60,233 + … + 60,248

Aliquot sequence: 1,024,080 → 2,350,704 → 3,722,072 → 3,256,828 → 2,742,732 → 4,342,164 → 5,962,956 → 7,950,636 → 13,271,796 → 21,136,844 → 16,192,756 → 12,144,574 → 7,598,114 → 4,041,694 → 2,044,034 → 1,022,020 → 1,145,684 — unresolved within range

Continued fraction of √n

√1,024,080 = [1011; (1, 30, 1, 1, 1, 1, 1, 30, 1, 2022)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand eighty
Ordinal: 1024080th
Binary: 11111010000001010000
Octal: 3720120
Hexadecimal: 0xFA050
Base64: D6BQ
One's complement: 4,293,943,215 (32-bit)
Scientific notation: 1.02408 × 10⁶
As a duration: 1,024,080 s = 11 days, 20 hours, 28 minutes

In other bases

ternary (3) 1221000202220

quaternary (4) 3322001100

quinary (5) 230232310

senary (6) 33541040

septenary (7) 11463441

nonary (9) 1830686

undecimal (11) 63a452

duodecimal (12) 414780

tridecimal (13) 29b185

tetradecimal (14) 1c92c8

pentadecimal (15) 153670

As an angle

1,024,080° = 2,844 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零二萬四千零八十
Chinese (financial): 壹佰零貳萬肆仟零捌拾

In other modern scripts

Eastern Arabic ١٠٢٤٠٨٠ Devanagari १०२४०८० Bengali ১০২৪০৮০ Tamil ௧௦௨௪௦௮௦ Thai ๑๐๒๔๐๘๐ Tibetan ༡༠༢༤༠༨༠ Khmer ១០២៤០៨០ Lao ໑໐໒໔໐໘໐ Burmese ၁၀၂၄၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024080, here are decompositions:

7 + 1024073 = 1024080
19 + 1024061 = 1024080
59 + 1024021 = 1024080
89 + 1023991 = 1024080
103 + 1023977 = 1024080
107 + 1023973 = 1024080
131 + 1023949 = 1024080
137 + 1023943 = 1024080

Showing the first eight; more decompositions exist.

Hex color

#0FA050

RGB(15, 160, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.80.

Address: 0.15.160.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 4080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4080-02-01 (DMMYYYY (Euro, single-digit day))
4080-10-02 (MMDYYYY (US, single-digit day))
4080-02-10 (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 1,024,080 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 US1,024,080 on Google Patents ↗ Look up on USPTO ↗