Live analysis

1,001,440

1,001,440 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.).

1,001,440 (one million one thousand four hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 569. Its proper divisors sum to 1,584,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47E0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,428 1,001,429 1,001,430 1,001,431 1,001,432 1,001,433 1,001,434 1,001,435 1,001,436 1,001,437 1,001,438 1,001,439 1,001,440 1,001,441 1,001,442 1,001,443 1,001,444 1,001,445 1,001,446 1,001,447 1,001,448 1,001,449 1,001,450 1,001,451 1,001,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 441,001
Square (n²): 1,002,882,073,600
Cube (n³): 1,004,326,223,785,984,000
Divisor count: 48
σ(n) — sum of divisors: 2,585,520
φ(n) — Euler's totient: 363,520
Sum of prime factors: 595

Primality

Prime factorization: 2 ⁵ × 5 × 11 × 569

Nearest primes: 1,001,431 (−9) · 1,001,447 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 80 · 88 · 110 · 160 · 176 · 220 · 352 · 440 · 569 · 880 · 1138 · 1760 · 2276 · 2845 · 4552 · 5690 · 6259 · 9104 · 11380 · 12518 · 18208 · 22760 · 25036 · 31295 · 45520 · 50072 · 62590 · 91040 · 100144 · 125180 · 200288 · 250360 · 500720 (half) · 1001440

Aliquot sum (sum of proper divisors): 1,584,080

Factor pairs (a × b = 1,001,440)

1 × 1001440

2 × 500720

4 × 250360

5 × 200288

8 × 125180

10 × 100144

11 × 91040

16 × 62590

20 × 50072

22 × 45520

32 × 31295

40 × 25036

44 × 22760

55 × 18208

80 × 12518

88 × 11380

110 × 9104

160 × 6259

176 × 5690

220 × 4552

352 × 2845

440 × 2276

569 × 1760

880 × 1138

First multiples

1,001,440 · 2,002,880 (double) · 3,004,320 · 4,005,760 · 5,007,200 · 6,008,640 · 7,010,080 · 8,011,520 · 9,012,960 · 10,014,400

Sums & aliquot sequence

As consecutive integers: 200,286 + 200,287 + 200,288 + 200,289 + 200,290 91,035 + 91,036 + … + 91,045 18,181 + 18,182 + … + 18,235 15,616 + 15,617 + … + 15,679

Aliquot sequence: 1,001,440 → 1,584,080 → 2,099,092 → 1,790,528 → 1,810,684 → 1,358,020 → 1,493,864 → 1,307,146 → 789,494 → 394,750 → 344,690 → 275,770 → 294,470 → 283,978 → 146,294 → 74,866 → 52,142 — unresolved within range

Continued fraction of √n

√1,001,440 = [1000; (1, 2, 1, 1, 3, 5, 1, 8, 1, 2, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 2, 5, 6, 6, …)]

Representations

In words: one million one thousand four hundred forty
Ordinal: 1001440th
Binary: 11110100011111100000
Octal: 3643740
Hexadecimal: 0xF47E0
Base64: D0fg
One's complement: 4,293,965,855 (32-bit)
Scientific notation: 1.00144 × 10⁶
As a duration: 1,001,440 s = 11 days, 14 hours, 10 minutes, 40 seconds

In other bases

ternary (3) 1212212201101

quaternary (4) 3310133200

quinary (5) 224021230

senary (6) 33244144

septenary (7) 11340436

nonary (9) 1785641

undecimal (11) 624440

duodecimal (12) 403654

tridecimal (13) 290a8b

tetradecimal (14) 1c0d56

pentadecimal (15) 14baca

As an angle

1,001,440° = 2,781 × 360° + 280°

280° ≈ 4.887 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千四百四十
Chinese (financial): 壹佰萬壹仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٤٤٠ Devanagari १००१४४० Bengali ১০০১৪৪০ Tamil ௧௦௦௧௪௪௦ Thai ๑๐๐๑๔๔๐ Tibetan ༡༠༠༡༤༤༠ Khmer ១០០១៤៤០ Lao ໑໐໐໑໔໔໐ Burmese ၁၀၀၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001440, here are decompositions:

29 + 1001411 = 1001440
53 + 1001387 = 1001440
59 + 1001381 = 1001440
71 + 1001369 = 1001440
113 + 1001327 = 1001440
137 + 1001303 = 1001440
149 + 1001291 = 1001440
173 + 1001267 = 1001440

Showing the first eight; more decompositions exist.

Hex color

#0F47E0

RGB(15, 71, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.224.

Address: 0.15.71.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.224

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 1,001,440 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 US1,001,440 on Google Patents ↗ Look up on USPTO ↗