Live analysis

1,002,640

1,002,640 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.).

1,002,640 (one million two thousand six hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 83 × 151. Its proper divisors sum to 1,372,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4C90.

Abundant Number Gapful Number Odious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,628 1,002,629 1,002,630 1,002,631 1,002,632 1,002,633 1,002,634 1,002,635 1,002,636 1,002,637 1,002,638 1,002,639 1,002,640 1,002,641 1,002,642 1,002,643 1,002,644 1,002,645 1,002,646 1,002,647 1,002,648 1,002,649 1,002,650 1,002,651 1,002,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 462,001
Square (n²): 1,005,286,969,600
Cube (n³): 1,007,940,927,199,744,000
Divisor count: 40
σ(n) — sum of divisors: 2,374,848
φ(n) — Euler's totient: 393,600
Sum of prime factors: 247

Primality

Prime factorization: 2 ⁴ × 5 × 83 × 151

Nearest primes: 1,002,623 (−17) · 1,002,647 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 83 · 151 · 166 · 302 · 332 · 415 · 604 · 664 · 755 · 830 · 1208 · 1328 · 1510 · 1660 · 2416 · 3020 · 3320 · 6040 · 6640 · 12080 · 12533 · 25066 · 50132 · 62665 · 100264 · 125330 · 200528 · 250660 · 501320 (half) · 1002640

Aliquot sum (sum of proper divisors): 1,372,208

Factor pairs (a × b = 1,002,640)

1 × 1002640

2 × 501320

4 × 250660

5 × 200528

8 × 125330

10 × 100264

16 × 62665

20 × 50132

40 × 25066

80 × 12533

83 × 12080

151 × 6640

166 × 6040

302 × 3320

332 × 3020

415 × 2416

604 × 1660

664 × 1510

755 × 1328

830 × 1208

First multiples

1,002,640 · 2,005,280 (double) · 3,007,920 · 4,010,560 · 5,013,200 · 6,015,840 · 7,018,480 · 8,021,120 · 9,023,760 · 10,026,400

Sums & aliquot sequence

As consecutive integers: 200,526 + 200,527 + 200,528 + 200,529 + 200,530 31,317 + 31,318 + … + 31,348 12,039 + 12,040 + … + 12,121 6,565 + 6,566 + … + 6,715

Aliquot sequence: 1,002,640 → 1,372,208 → 1,309,912 → 1,180,928 → 1,517,152 → 2,166,080 → 3,734,848 → 4,367,498 → 2,183,752 → 2,151,908 → 1,956,364 → 1,478,900 → 1,875,052 → 1,602,548 → 1,324,012 → 1,006,484 → 754,870 — unresolved within range

Continued fraction of √n

√1,002,640 = [1001; (3, 7, 2, 23, 2, 1, 2, 6, 1, 7, 2, 4, 14, 12, 2, 1, 2, 2, 133, 11, 2, 1, 2, 3, …)]

Representations

In words: one million two thousand six hundred forty
Ordinal: 1002640th
Binary: 11110100110010010000
Octal: 3646220
Hexadecimal: 0xF4C90
Base64: D0yQ
One's complement: 4,293,964,655 (32-bit)
Scientific notation: 1.00264 × 10⁶
As a duration: 1,002,640 s = 11 days, 14 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1212221100211

quaternary (4) 3310302100

quinary (5) 224041030

senary (6) 33253504

septenary (7) 11344102

nonary (9) 1787324

undecimal (11) 625331

duodecimal (12) 404294

tridecimal (13) 2914a2

tetradecimal (14) 1c1572

pentadecimal (15) 14c12a

As an angle

1,002,640° = 2,785 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬二千六百四十
Chinese (financial): 壹佰萬貳仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٢٦٤٠ Devanagari १००२६४० Bengali ১০০২৬৪০ Tamil ௧௦௦௨௬௪௦ Thai ๑๐๐๒๖๔๐ Tibetan ༡༠༠༢༦༤༠ Khmer ១០០២៦៤០ Lao ໑໐໐໒໖໔໐ Burmese ၁၀၀၂၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002640, here are decompositions:

17 + 1002623 = 1002640
71 + 1002569 = 1002640
113 + 1002527 = 1002640
137 + 1002503 = 1002640
173 + 1002467 = 1002640
263 + 1002377 = 1002640
281 + 1002359 = 1002640
293 + 1002347 = 1002640

Showing the first eight; more decompositions exist.

Hex color

#0F4C90

RGB(15, 76, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.144.

Address: 0.15.76.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.144

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 1,002,640 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 US1,002,640 on Google Patents ↗ Look up on USPTO ↗