Live analysis

1,007,440

1,007,440 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.).

1,007,440 (one million seven thousand four hundred forty) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 7² × 257. Its proper divisors sum to 1,727,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5F50.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,007,428 1,007,429 1,007,430 1,007,431 1,007,432 1,007,433 1,007,434 1,007,435 1,007,436 1,007,437 1,007,438 1,007,439 1,007,440 1,007,441 1,007,442 1,007,443 1,007,444 1,007,445 1,007,446 1,007,447 1,007,448 1,007,449 1,007,450 1,007,451 1,007,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 447,001
Recamán's sequence: a(350,571) = 1,007,440
Square (n²): 1,014,935,353,600
Cube (n³): 1,022,486,472,630,784,000
Divisor count: 60
σ(n) — sum of divisors: 2,735,316
φ(n) — Euler's totient: 344,064
Sum of prime factors: 284

Primality

Prime factorization: 2 ⁴ × 5 × 7 ² × 257

Nearest primes: 1,007,429 (−11) · 1,007,441 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 49 · 56 · 70 · 80 · 98 · 112 · 140 · 196 · 245 · 257 · 280 · 392 · 490 · 514 · 560 · 784 · 980 · 1028 · 1285 · 1799 · 1960 · 2056 · 2570 · 3598 · 3920 · 4112 · 5140 · 7196 · 8995 · 10280 · 12593 · 14392 · 17990 · 20560 · 25186 · 28784 · 35980 · 50372 · 62965 · 71960 · 100744 · 125930 · 143920 · 201488 · 251860 · 503720 (half) · 1007440

Aliquot sum (sum of proper divisors): 1,727,876

Factor pairs (a × b = 1,007,440)

1 × 1007440

2 × 503720

4 × 251860

5 × 201488

7 × 143920

8 × 125930

10 × 100744

14 × 71960

16 × 62965

20 × 50372

28 × 35980

35 × 28784

40 × 25186

49 × 20560

56 × 17990

70 × 14392

80 × 12593

98 × 10280

112 × 8995

140 × 7196

196 × 5140

245 × 4112

257 × 3920

280 × 3598

392 × 2570

490 × 2056

514 × 1960

560 × 1799

784 × 1285

980 × 1028

First multiples

1,007,440 · 2,014,880 (double) · 3,022,320 · 4,029,760 · 5,037,200 · 6,044,640 · 7,052,080 · 8,059,520 · 9,066,960 · 10,074,400

Sums & aliquot sequence

As a sum of two squares: 392² + 924² = 504² + 868²

As consecutive integers: 201,486 + 201,487 + 201,488 + 201,489 + 201,490 143,917 + 143,918 + … + 143,923 31,467 + 31,468 + … + 31,498 28,767 + 28,768 + … + 28,801

Aliquot sequence: 1,007,440 → 1,727,876 → 1,305,532 → 1,156,004 → 867,010 → 704,246 → 352,126 → 176,066 → 119,422 → 68,714 → 45,334 → 26,306 → 18,814 → 10,706 → 5,818 → 2,912 → 4,144 — unresolved within range

Continued fraction of √n

√1,007,440 = [1003; (1, 2, 2, 16, 1, 7, 8, 2, 1, 1, 1, 2, 2, 2, 2, 3, 6, 1, 9, 4, 2, 4, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand four hundred forty
Ordinal: 1007440th
Binary: 11110101111101010000
Octal: 3657520
Hexadecimal: 0xF5F50
Base64: D19Q
One's complement: 4,293,959,855 (32-bit)
Scientific notation: 1.00744 × 10⁶
As a duration: 1,007,440 s = 11 days, 15 hours, 50 minutes, 40 seconds

In other bases

ternary (3) 1220011221121

quaternary (4) 3311331100

quinary (5) 224214230

senary (6) 33332024

septenary (7) 11364100

nonary (9) 1804847

undecimal (11) 6289a5

duodecimal (12) 407014

tridecimal (13) 293725

tetradecimal (14) 1c3200

pentadecimal (15) 14d77a

As an angle

1,007,440° = 2,798 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬七千四百四十
Chinese (financial): 壹佰萬柒仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٧٤٤٠ Devanagari १००७४४० Bengali ১০০৭৪৪০ Tamil ௧௦௦௭௪௪௦ Thai ๑๐๐๗๔๔๐ Tibetan ༡༠༠༧༤༤༠ Khmer ១០០៧៤៤០ Lao ໑໐໐໗໔໔໐ Burmese ၁၀၀၇၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007440, here are decompositions:

11 + 1007429 = 1007440
23 + 1007417 = 1007440
53 + 1007387 = 1007440
59 + 1007381 = 1007440
101 + 1007339 = 1007440
131 + 1007309 = 1007440
191 + 1007249 = 1007440
197 + 1007243 = 1007440

Showing the first eight; more decompositions exist.

Hex color

#0F5F50

RGB(15, 95, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.80.

Address: 0.15.95.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.95.80

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 1,007,440 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 US1,007,440 on Google Patents ↗ Look up on USPTO ↗