Live analysis

1,002,480

1,002,480 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.).

1,002,480 (one million two thousand four hundred eighty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,177. Its proper divisors sum to 2,105,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BF0.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,468 1,002,469 1,002,470 1,002,471 1,002,472 1,002,473 1,002,474 1,002,475 1,002,476 1,002,477 1,002,478 1,002,479 1,002,480 1,002,481 1,002,482 1,002,483 1,002,484 1,002,485 1,002,486 1,002,487 1,002,488 1,002,489 1,002,490 1,002,491 1,002,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 842,001
Square (n²): 1,004,966,150,400
Cube (n³): 1,007,458,466,452,992,000
Divisor count: 40
σ(n) — sum of divisors: 3,108,432
φ(n) — Euler's totient: 267,264
Sum of prime factors: 4,193

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 4177

Nearest primes: 1,002,467 (−13) · 1,002,481 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4177 · 8354 · 12531 · 16708 · 20885 · 25062 · 33416 · 41770 · 50124 · 62655 · 66832 · 83540 · 100248 · 125310 · 167080 · 200496 · 250620 · 334160 · 501240 (half) · 1002480

Aliquot sum (sum of proper divisors): 2,105,952

Factor pairs (a × b = 1,002,480)

1 × 1002480

2 × 501240

3 × 334160

4 × 250620

5 × 200496

6 × 167080

8 × 125310

10 × 100248

12 × 83540

15 × 66832

16 × 62655

20 × 50124

24 × 41770

30 × 33416

40 × 25062

48 × 20885

60 × 16708

80 × 12531

120 × 8354

240 × 4177

First multiples

1,002,480 · 2,004,960 (double) · 3,007,440 · 4,009,920 · 5,012,400 · 6,014,880 · 7,017,360 · 8,019,840 · 9,022,320 · 10,024,800

Sums & aliquot sequence

As consecutive integers: 334,159 + 334,160 + 334,161 200,494 + 200,495 + 200,496 + 200,497 + 200,498 66,825 + 66,826 + … + 66,839 31,312 + 31,313 + … + 31,343

Aliquot sequence: 1,002,480 → 2,105,952 → 3,422,424 → 5,133,696 → 9,003,504 → 14,255,672 → 12,670,888 → 11,087,042 → 5,579,134 → 3,588,482 → 2,025,790 → 1,901,378 → 950,692 → 713,026 → 381,518 → 190,762 → 172,118 — unresolved within range

Continued fraction of √n

√1,002,480 = [1001; (4, 5, 1, 1, 4, 9, 1, 2, 1, 7, 1, 1, 3, 3, 20, 1, 1, 4, 12, 2, 1, 2, 6, 15, …)]

Representations

In words: one million two thousand four hundred eighty
Ordinal: 1002480th
Binary: 11110100101111110000
Octal: 3645760
Hexadecimal: 0xF4BF0
Base64: D0vw
One's complement: 4,293,964,815 (32-bit)
Scientific notation: 1.00248 × 10⁶
As a duration: 1,002,480 s = 11 days, 14 hours, 28 minutes

In other bases

ternary (3) 1212221010220

quaternary (4) 3310233300

quinary (5) 224034410

senary (6) 33253040

septenary (7) 11343453

nonary (9) 1787126

undecimal (11) 6251a6

duodecimal (12) 404180

tridecimal (13) 2913ab

tetradecimal (14) 1c149a

pentadecimal (15) 14c070

As an angle

1,002,480° = 2,784 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千四百八十
Chinese (financial): 壹佰萬貳仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٢٤٨٠ Devanagari १००२४८० Bengali ১০০২৪৮০ Tamil ௧௦௦௨௪௮௦ Thai ๑๐๐๒๔๘๐ Tibetan ༡༠༠༢༤༨༠ Khmer ១០០២៤៨០ Lao ໑໐໐໒໔໘໐ Burmese ၁၀၀၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002480, here are decompositions:

13 + 1002467 = 1002480
23 + 1002457 = 1002480
29 + 1002451 = 1002480
47 + 1002433 = 1002480
53 + 1002427 = 1002480
103 + 1002377 = 1002480
131 + 1002349 = 1002480
137 + 1002343 = 1002480

Showing the first eight; more decompositions exist.

Hex color

#0F4BF0

RGB(15, 75, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.240.

Address: 0.15.75.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.240

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 1,002,480 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 US1,002,480 on Google Patents ↗ Look up on USPTO ↗