Live analysis

1,024,040

1,024,040 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.).

1,024,040 (one million twenty-four thousand forty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,601. Its proper divisors sum to 1,280,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA028.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,024,028 1,024,029 1,024,030 1,024,031 1,024,032 1,024,033 1,024,034 1,024,035 1,024,036 1,024,037 1,024,038 1,024,039 1,024,040 1,024,041 1,024,042 1,024,043 1,024,044 1,024,045 1,024,046 1,024,047 1,024,048 1,024,049 1,024,050 1,024,051 1,024,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 404,201
Square (n²): 1,048,657,921,600
Cube (n³): 1,073,867,658,035,264,000
Divisor count: 16
σ(n) — sum of divisors: 2,304,180
φ(n) — Euler's totient: 409,600
Sum of prime factors: 25,612

Primality

Prime factorization: 2 ³ × 5 × 25601

Nearest primes: 1,024,031 (−9) · 1,024,061 (+21)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25601 · 51202 · 102404 · 128005 · 204808 · 256010 · 512020 (half) · 1024040

Aliquot sum (sum of proper divisors): 1,280,140

Factor pairs (a × b = 1,024,040)

1 × 1024040

2 × 512020

4 × 256010

5 × 204808

8 × 128005

10 × 102404

20 × 51202

40 × 25601

First multiples

1,024,040 · 2,048,080 (double) · 3,072,120 · 4,096,160 · 5,120,200 · 6,144,240 · 7,168,280 · 8,192,320 · 9,216,360 · 10,240,400

Sums & aliquot sequence

As a sum of two squares: 314² + 962² = 326² + 958²

As consecutive integers: 204,806 + 204,807 + 204,808 + 204,809 + 204,810 63,995 + 63,996 + … + 64,010 12,761 + 12,762 + … + 12,840

Aliquot sequence: 1,024,040 → 1,280,140 → 1,408,196 → 1,056,154 → 702,662 → 355,138 → 253,694 → 181,234 → 90,620 → 108,964 → 81,730 → 78,974 → 56,434 → 44,366 → 31,714 → 16,634 → 8,320 — unresolved within range

Continued fraction of √n

√1,024,040 = [1011; (1, 18, 2, 5, 1, 11, 7, 1, 2, 3, 50, 3, 2, 1, 7, 11, 1, 5, 2, 18, 1, 2022)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand forty
Ordinal: 1024040th
Binary: 11111010000000101000
Octal: 3720050
Hexadecimal: 0xFA028
Base64: D6Ao
One's complement: 4,293,943,255 (32-bit)
Scientific notation: 1.02404 × 10⁶
As a duration: 1,024,040 s = 11 days, 20 hours, 27 minutes, 20 seconds

In other bases

ternary (3) 1221000201102

quaternary (4) 3322000220

quinary (5) 230232130

senary (6) 33540532

septenary (7) 11463353

nonary (9) 1830642

undecimal (11) 63a416

duodecimal (12) 414748

tridecimal (13) 29b154

tetradecimal (14) 1c929a

pentadecimal (15) 153645

As an angle

1,024,040° = 2,844 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零二萬四千零四十
Chinese (financial): 壹佰零貳萬肆仟零肆拾

In other modern scripts

Eastern Arabic ١٠٢٤٠٤٠ Devanagari १०२४०४० Bengali ১০২৪০৪০ Tamil ௧௦௨௪௦௪௦ Thai ๑๐๒๔๐๔๐ Tibetan ༡༠༢༤༠༤༠ Khmer ១០២៤០៤០ Lao ໑໐໒໔໐໔໐ Burmese ၁၀၂၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024040, here are decompositions:

19 + 1024021 = 1024040
67 + 1023973 = 1024040
97 + 1023943 = 1024040
271 + 1023769 = 1024040
307 + 1023733 = 1024040
397 + 1023643 = 1024040
439 + 1023601 = 1024040
463 + 1023577 = 1024040

Showing the first eight; more decompositions exist.

Hex color

#0FA028

RGB(15, 160, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.40.

Address: 0.15.160.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4040-02-01 (DMMYYYY (Euro, single-digit day))
4040-10-02 (MMDYYYY (US, single-digit day))
4040-02-10 (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 1,024,040 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 US1,024,040 on Google Patents ↗ Look up on USPTO ↗