Live analysis

1,002,560

1,002,560 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.).

1,002,560 (one million two thousand five hundred sixty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 13 × 241. Its proper divisors sum to 1,579,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4C40.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,548 1,002,549 1,002,550 1,002,551 1,002,552 1,002,553 1,002,554 1,002,555 1,002,556 1,002,557 1,002,558 1,002,559 1,002,560 1,002,561 1,002,562 1,002,563 1,002,564 1,002,565 1,002,566 1,002,567 1,002,568 1,002,569 1,002,570 1,002,571 1,002,572

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 652,001
Square (n²): 1,005,126,553,600
Cube (n³): 1,007,699,677,577,216,000
Divisor count: 56
σ(n) — sum of divisors: 2,581,656
φ(n) — Euler's totient: 368,640
Sum of prime factors: 271

Primality

Prime factorization: 2 ⁶ × 5 × 13 × 241

Nearest primes: 1,002,553 (−7) · 1,002,569 (+9)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 64 · 65 · 80 · 104 · 130 · 160 · 208 · 241 · 260 · 320 · 416 · 482 · 520 · 832 · 964 · 1040 · 1205 · 1928 · 2080 · 2410 · 3133 · 3856 · 4160 · 4820 · 6266 · 7712 · 9640 · 12532 · 15424 · 15665 · 19280 · 25064 · 31330 · 38560 · 50128 · 62660 · 77120 · 100256 · 125320 · 200512 · 250640 · 501280 (half) · 1002560

Aliquot sum (sum of proper divisors): 1,579,096

Factor pairs (a × b = 1,002,560)

1 × 1002560

2 × 501280

4 × 250640

5 × 200512

8 × 125320

10 × 100256

13 × 77120

16 × 62660

20 × 50128

26 × 38560

32 × 31330

40 × 25064

52 × 19280

64 × 15665

65 × 15424

80 × 12532

104 × 9640

130 × 7712

160 × 6266

208 × 4820

241 × 4160

260 × 3856

320 × 3133

416 × 2410

482 × 2080

520 × 1928

832 × 1205

964 × 1040

First multiples

1,002,560 · 2,005,120 (double) · 3,007,680 · 4,010,240 · 5,012,800 · 6,015,360 · 7,017,920 · 8,020,480 · 9,023,040 · 10,025,600

Sums & aliquot sequence

As a sum of two squares: 136² + 992² = 256² + 968² = 376² + 928² = 704² + 712²

As consecutive integers: 200,510 + 200,511 + 200,512 + 200,513 + 200,514 77,114 + 77,115 + … + 77,126 15,392 + 15,393 + … + 15,456 7,769 + 7,770 + … + 7,896

Aliquot sequence: 1,002,560 → 1,579,096 → 1,570,724 → 1,252,600 → 1,660,160 → 2,319,508 → 1,739,638 → 869,822 → 511,714 → 365,534 → 260,434 → 132,794 → 69,574 → 37,346 → 19,678 → 9,842 → 8,398 — unresolved within range

Continued fraction of √n

√1,002,560 = [1001; (3, 1, 1, 2, 1, 1, 4, 4, 10, 4, 25, 9, 1, 1, 5, 2, 4, 1, 1, 1, 30, 1, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million two thousand five hundred sixty
Ordinal: 1002560th
Binary: 11110100110001000000
Octal: 3646100
Hexadecimal: 0xF4C40
Base64: D0xA
One's complement: 4,293,964,735 (32-bit)
Scientific notation: 1.00256 × 10⁶
As a duration: 1,002,560 s = 11 days, 14 hours, 29 minutes, 20 seconds

In other bases

ternary (3) 1212221020212

quaternary (4) 3310301000

quinary (5) 224040220

senary (6) 33253252

septenary (7) 11343626

nonary (9) 1787225

undecimal (11) 625269

duodecimal (12) 404228

tridecimal (13) 291440

tetradecimal (14) 1c1516

pentadecimal (15) 14c0c5

As an angle

1,002,560° = 2,784 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千五百六十
Chinese (financial): 壹佰萬貳仟伍佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٢٥٦٠ Devanagari १००२५६० Bengali ১০০২৫৬০ Tamil ௧௦௦௨௫௬௦ Thai ๑๐๐๒๕๖๐ Tibetan ༡༠༠༢༥༦༠ Khmer ១០០២៥៦០ Lao ໑໐໐໒໕໖໐ Burmese ၁၀၀၂၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002560, here are decompositions:

7 + 1002553 = 1002560
37 + 1002523 = 1002560
43 + 1002517 = 1002560
67 + 1002493 = 1002560
73 + 1002487 = 1002560
79 + 1002481 = 1002560
103 + 1002457 = 1002560
109 + 1002451 = 1002560

Showing the first eight; more decompositions exist.

Hex color

#0F4C40

RGB(15, 76, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.64.

Address: 0.15.76.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.64

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 1,002,560 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 US1,002,560 on Google Patents ↗ Look up on USPTO ↗