Live analysis

1,006,480

1,006,480 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.).

1,006,480 (one million six thousand four hundred eighty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 23 × 547. Its proper divisors sum to 1,439,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B90.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,468 1,006,469 1,006,470 1,006,471 1,006,472 1,006,473 1,006,474 1,006,475 1,006,476 1,006,477 1,006,478 1,006,479 1,006,480 1,006,481 1,006,482 1,006,483 1,006,484 1,006,485 1,006,486 1,006,487 1,006,488 1,006,489 1,006,490 1,006,491 1,006,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 846,001
Square (n²): 1,013,001,990,400
Cube (n³): 1,019,566,243,297,792,000
Divisor count: 40
σ(n) — sum of divisors: 2,446,272
φ(n) — Euler's totient: 384,384
Sum of prime factors: 583

Primality

Prime factorization: 2 ⁴ × 5 × 23 × 547

Nearest primes: 1,006,471 (−9) · 1,006,493 (+13)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 40 · 46 · 80 · 92 · 115 · 184 · 230 · 368 · 460 · 547 · 920 · 1094 · 1840 · 2188 · 2735 · 4376 · 5470 · 8752 · 10940 · 12581 · 21880 · 25162 · 43760 · 50324 · 62905 · 100648 · 125810 · 201296 · 251620 · 503240 (half) · 1006480

Aliquot sum (sum of proper divisors): 1,439,792

Factor pairs (a × b = 1,006,480)

1 × 1006480

2 × 503240

4 × 251620

5 × 201296

8 × 125810

10 × 100648

16 × 62905

20 × 50324

23 × 43760

40 × 25162

46 × 21880

80 × 12581

92 × 10940

115 × 8752

184 × 5470

230 × 4376

368 × 2735

460 × 2188

547 × 1840

920 × 1094

First multiples

1,006,480 · 2,012,960 (double) · 3,019,440 · 4,025,920 · 5,032,400 · 6,038,880 · 7,045,360 · 8,051,840 · 9,058,320 · 10,064,800

Sums & aliquot sequence

As consecutive integers: 201,294 + 201,295 + 201,296 + 201,297 + 201,298 43,749 + 43,750 + … + 43,771 31,437 + 31,438 + … + 31,468 8,695 + 8,696 + … + 8,809

Aliquot sequence: 1,006,480 → 1,439,792 → 1,476,316 → 1,107,244 → 1,054,916 → 791,194 → 395,600 → 619,216 → 685,574 → 346,666 → 207,734 → 103,870 → 113,858 → 56,932 → 45,324 → 69,336 → 126,684 — unresolved within range

Continued fraction of √n

√1,006,480 = [1003; (4, 3, 1, 5, 1, 4, 2, 1, 2, 7, 2, 6, 1, 4, 25, 5, 5, 2, 1, 1, 3, 1, 2, 222, …)]

Representations

In words: one million six thousand four hundred eighty
Ordinal: 1006480th
Binary: 11110101101110010000
Octal: 3655620
Hexadecimal: 0xF5B90
Base64: D1uQ
One's complement: 4,293,960,815 (32-bit)
Scientific notation: 1.00648 × 10⁶
As a duration: 1,006,480 s = 11 days, 15 hours, 34 minutes, 40 seconds

In other bases

ternary (3) 1220010122001

quaternary (4) 3311232100

quinary (5) 224201410

senary (6) 33323344

septenary (7) 11361226

nonary (9) 1803561

undecimal (11) 628202

duodecimal (12) 406554

tridecimal (13) 293167

tetradecimal (14) 1c2b16

pentadecimal (15) 14d33a

As an angle

1,006,480° = 2,795 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬六千四百八十
Chinese (financial): 壹佰萬陸仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٦٤٨٠ Devanagari १००६४८० Bengali ১০০৬৪৮০ Tamil ௧௦௦௬௪௮௦ Thai ๑๐๐๖๔๘๐ Tibetan ༡༠༠༦༤༨༠ Khmer ១០០៦៤៨០ Lao ໑໐໐໖໔໘໐ Burmese ၁၀၀၆၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006480, here are decompositions:

11 + 1006469 = 1006480
17 + 1006463 = 1006480
47 + 1006433 = 1006480
89 + 1006391 = 1006480
113 + 1006367 = 1006480
149 + 1006331 = 1006480
173 + 1006307 = 1006480
179 + 1006301 = 1006480

Showing the first eight; more decompositions exist.

Hex color

#0F5B90

RGB(15, 91, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.144.

Address: 0.15.91.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.144

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 1,006,480 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 US1,006,480 on Google Patents ↗ Look up on USPTO ↗