Live analysis

1,040,440

1,040,440 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.).

1,040,440 (one million forty thousand four hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 19 × 37². Its proper divisors sum to 1,492,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE038.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,040,428 1,040,429 1,040,430 1,040,431 1,040,432 1,040,433 1,040,434 1,040,435 1,040,436 1,040,437 1,040,438 1,040,439 1,040,440 1,040,441 1,040,442 1,040,443 1,040,444 1,040,445 1,040,446 1,040,447 1,040,448 1,040,449 1,040,450 1,040,451 1,040,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 440,401
Square (n²): 1,082,515,393,600
Cube (n³): 1,126,292,316,117,184,000
Divisor count: 48
σ(n) — sum of divisors: 2,532,600
φ(n) — Euler's totient: 383,616
Sum of prime factors: 104

Primality

Prime factorization: 2 ³ × 5 × 19 × 37 ²

Nearest primes: 1,040,419 (−21) · 1,040,447 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 37 · 38 · 40 · 74 · 76 · 95 · 148 · 152 · 185 · 190 · 296 · 370 · 380 · 703 · 740 · 760 · 1369 · 1406 · 1480 · 2738 · 2812 · 3515 · 5476 · 5624 · 6845 · 7030 · 10952 · 13690 · 14060 · 26011 · 27380 · 28120 · 52022 · 54760 · 104044 · 130055 · 208088 · 260110 · 520220 (half) · 1040440

Aliquot sum (sum of proper divisors): 1,492,160

Factor pairs (a × b = 1,040,440)

1 × 1040440

2 × 520220

4 × 260110

5 × 208088

8 × 130055

10 × 104044

19 × 54760

20 × 52022

37 × 28120

38 × 27380

40 × 26011

74 × 14060

76 × 13690

95 × 10952

148 × 7030

152 × 6845

185 × 5624

190 × 5476

296 × 3515

370 × 2812

380 × 2738

703 × 1480

740 × 1406

760 × 1369

First multiples

1,040,440 · 2,080,880 (double) · 3,121,320 · 4,161,760 · 5,202,200 · 6,242,640 · 7,283,080 · 8,323,520 · 9,363,960 · 10,404,400

Sums & aliquot sequence

As consecutive integers: 208,086 + 208,087 + 208,088 + 208,089 + 208,090 65,020 + 65,021 + … + 65,035 54,751 + 54,752 + … + 54,769 28,102 + 28,103 + … + 28,138

Aliquot sequence: 1,040,440 → 1,492,160 → 2,061,808 → 2,625,392 → 3,719,440 → 5,387,120 → 7,138,120 → 10,383,800 → 17,211,160 → 21,514,040 → 27,027,640 → 34,352,360 → 55,158,040 → 86,677,640 → 137,098,360 → 216,450,440 → 271,343,440 — unresolved within range

Continued fraction of √n

√1,040,440 = [1020; (51, 2040)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand four hundred forty
Ordinal: 1040440th
Binary: 11111110000000111000
Octal: 3760070
Hexadecimal: 0xFE038
Base64: D+A4
One's complement: 4,293,926,855 (32-bit)
Scientific notation: 1.04044 × 10⁶
As a duration: 1,040,440 s = 12 days, 1 hour, 40 seconds

In other bases

ternary (3) 1221212012211

quaternary (4) 3332000320

quinary (5) 231243230

senary (6) 34144504

septenary (7) 11562232

nonary (9) 1855184

undecimal (11) 650775

duodecimal (12) 422134

tridecimal (13) 2a575b

tetradecimal (14) 1d1252

pentadecimal (15) 15842a

As an angle

1,040,440° = 2,890 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零四萬零四百四十
Chinese (financial): 壹佰零肆萬零肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٤٠٤٤٠ Devanagari १०४०४४० Bengali ১০৪০৪৪০ Tamil ௧௦௪௦௪௪௦ Thai ๑๐๔๐๔๔๐ Tibetan ༡༠༤༠༤༤༠ Khmer ១០៤០៤៤០ Lao ໑໐໔໐໔໔໐ Burmese ၁၀၄၀၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040440, here are decompositions:

29 + 1040411 = 1040440
53 + 1040387 = 1040440
59 + 1040381 = 1040440
101 + 1040339 = 1040440
113 + 1040327 = 1040440
251 + 1040189 = 1040440
257 + 1040183 = 1040440
281 + 1040159 = 1040440

Showing the first eight; more decompositions exist.

Hex color

#0FE038

RGB(15, 224, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.224.56.

Address: 0.15.224.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.224.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 0440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0440-04-01 (DMMYYYY (Euro, single-digit day))
0440-10-04 (MMDYYYY (US, single-digit day))
0440-04-10 (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 1,040,440 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 US1,040,440 on Google Patents ↗ Look up on USPTO ↗