Live analysis

1,007,640

1,007,640 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.).

1,007,640 (one million seven thousand six hundred forty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 5 × 311. Its proper divisors sum to 2,390,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6018.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,007,628 1,007,629 1,007,630 1,007,631 1,007,632 1,007,633 1,007,634 1,007,635 1,007,636 1,007,637 1,007,638 1,007,639 1,007,640 1,007,641 1,007,642 1,007,643 1,007,644 1,007,645 1,007,646 1,007,647 1,007,648 1,007,649 1,007,650 1,007,651 1,007,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 467,001
Recamán's sequence: a(350,171) = 1,007,640
Square (n²): 1,015,338,369,600
Cube (n³): 1,023,095,554,743,744,000
Divisor count: 80
σ(n) — sum of divisors: 3,397,680
φ(n) — Euler's totient: 267,840
Sum of prime factors: 334

Primality

Prime factorization: 2 ³ × 3 ⁴ × 5 × 311

Nearest primes: 1,007,609 (−31) · 1,007,647 (+7)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 81 · 90 · 108 · 120 · 135 · 162 · 180 · 216 · 270 · 311 · 324 · 360 · 405 · 540 · 622 · 648 · 810 · 933 · 1080 · 1244 · 1555 · 1620 · 1866 · 2488 · 2799 · 3110 · 3240 · 3732 · 4665 · 5598 · 6220 · 7464 · 8397 · 9330 · 11196 · 12440 · 13995 · 16794 · 18660 · 22392 · 25191 · 27990 · 33588 · 37320 · 41985 · 50382 · 55980 · 67176 · 83970 · 100764 · 111960 · 125955 · 167940 · 201528 · 251910 · 335880 · 503820 (half) · 1007640

Aliquot sum (sum of proper divisors): 2,390,040

Factor pairs (a × b = 1,007,640)

1 × 1007640

2 × 503820

3 × 335880

4 × 251910

5 × 201528

6 × 167940

8 × 125955

9 × 111960

10 × 100764

12 × 83970

15 × 67176

18 × 55980

20 × 50382

24 × 41985

27 × 37320

30 × 33588

36 × 27990

40 × 25191

45 × 22392

54 × 18660

60 × 16794

72 × 13995

81 × 12440

90 × 11196

108 × 9330

120 × 8397

135 × 7464

162 × 6220

180 × 5598

216 × 4665

270 × 3732

311 × 3240

324 × 3110

360 × 2799

405 × 2488

540 × 1866

622 × 1620

648 × 1555

810 × 1244

933 × 1080

First multiples

1,007,640 · 2,015,280 (double) · 3,022,920 · 4,030,560 · 5,038,200 · 6,045,840 · 7,053,480 · 8,061,120 · 9,068,760 · 10,076,400

Sums & aliquot sequence

As consecutive integers: 335,879 + 335,880 + 335,881 201,526 + 201,527 + 201,528 + 201,529 + 201,530 111,956 + 111,957 + … + 111,964 67,169 + 67,170 + … + 67,183

Aliquot sequence: 1,007,640 → 2,390,040 → 5,580,360 → 13,024,440 → 39,260,520 → 98,167,680 → 313,096,320 → 795,847,680 → 2,235,841,200 → 5,551,995,168 → 11,111,511,510 — keeps growing

Continued fraction of √n

√1,007,640 = [1003; (1, 4, 2, 1, 16, 5, 2, 5, 8, 4, 1, 1, 1, 1, 2, 1, 1, 6, 1, 222, 4, 1, 27, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand six hundred forty
Ordinal: 1007640th
Binary: 11110110000000011000
Octal: 3660030
Hexadecimal: 0xF6018
Base64: D2AY
One's complement: 4,293,959,655 (32-bit)
Scientific notation: 1.00764 × 10⁶
As a duration: 1,007,640 s = 11 days, 15 hours, 54 minutes

In other bases

ternary (3) 1220012020000

quaternary (4) 3312000120

quinary (5) 224221030

senary (6) 33333000

septenary (7) 11364504

nonary (9) 1805200

undecimal (11) 629067

duodecimal (12) 407160

tridecimal (13) 29384a

tetradecimal (14) 1c3304

pentadecimal (15) 14d860

As an angle

1,007,640° = 2,799 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬七千六百四十
Chinese (financial): 壹佰萬柒仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٧٦٤٠ Devanagari १००७६४० Bengali ১০০৭৬৪০ Tamil ௧௦௦௭௬௪௦ Thai ๑๐๐๗๖๔๐ Tibetan ༡༠༠༧༦༤༠ Khmer ១០០៧៦៤០ Lao ໑໐໐໗໖໔໐ Burmese ၁၀၀၇၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007640, here are decompositions:

31 + 1007609 = 1007640
41 + 1007599 = 1007640
43 + 1007597 = 1007640
83 + 1007557 = 1007640
113 + 1007527 = 1007640
157 + 1007483 = 1007640
173 + 1007467 = 1007640
181 + 1007459 = 1007640

Showing the first eight; more decompositions exist.

Hex color

#0F6018

RGB(15, 96, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.96.24.

Address: 0.15.96.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.96.24

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 1,007,640 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 US1,007,640 on Google Patents ↗ Look up on USPTO ↗