Live analysis

1,002,520

1,002,520 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.).

1,002,520 (one million two thousand five hundred twenty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 71 × 353. Its proper divisors sum to 1,291,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4C18.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,508 1,002,509 1,002,510 1,002,511 1,002,512 1,002,513 1,002,514 1,002,515 1,002,516 1,002,517 1,002,518 1,002,519 1,002,520 1,002,521 1,002,522 1,002,523 1,002,524 1,002,525 1,002,526 1,002,527 1,002,528 1,002,529 1,002,530 1,002,531 1,002,532

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 252,001
Square (n²): 1,005,046,350,400
Cube (n³): 1,007,579,067,203,008,000
Divisor count: 32
σ(n) — sum of divisors: 2,293,920
φ(n) — Euler's totient: 394,240
Sum of prime factors: 435

Primality

Prime factorization: 2 ³ × 5 × 71 × 353

Nearest primes: 1,002,517 (−3) · 1,002,523 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 71 · 142 · 284 · 353 · 355 · 568 · 706 · 710 · 1412 · 1420 · 1765 · 2824 · 2840 · 3530 · 7060 · 14120 · 25063 · 50126 · 100252 · 125315 · 200504 · 250630 · 501260 (half) · 1002520

Aliquot sum (sum of proper divisors): 1,291,400

Factor pairs (a × b = 1,002,520)

1 × 1002520

2 × 501260

4 × 250630

5 × 200504

8 × 125315

10 × 100252

20 × 50126

40 × 25063

71 × 14120

142 × 7060

284 × 3530

353 × 2840

355 × 2824

568 × 1765

706 × 1420

710 × 1412

First multiples

1,002,520 · 2,005,040 (double) · 3,007,560 · 4,010,080 · 5,012,600 · 6,015,120 · 7,017,640 · 8,020,160 · 9,022,680 · 10,025,200

Sums & aliquot sequence

As consecutive integers: 200,502 + 200,503 + 200,504 + 200,505 + 200,506 62,650 + 62,651 + … + 62,665 14,085 + 14,086 + … + 14,155 12,492 + 12,493 + … + 12,571

Aliquot sequence: 1,002,520 → 1,291,400 → 1,989,640 → 2,487,140 → 2,878,612 → 2,617,004 → 2,404,516 → 1,815,224 → 1,588,336 → 1,573,416 → 3,130,374 → 3,724,026 → 3,724,038 → 4,770,162 → 5,807,262 → 5,807,274 → 7,662,966 — unresolved within range

Continued fraction of √n

√1,002,520 = [1001; (3, 1, 6, 26, 4, 1, 50, 1, 1, 5, 23, 1, 1, 1, 11, 1, 13, 1, 4, 11, 1, 1, 1, 4, …)]

Representations

In words: one million two thousand five hundred twenty
Ordinal: 1002520th
Binary: 11110100110000011000
Octal: 3646030
Hexadecimal: 0xF4C18
Base64: D0wY
One's complement: 4,293,964,775 (32-bit)
Scientific notation: 1.00252 × 10⁶
As a duration: 1,002,520 s = 11 days, 14 hours, 28 minutes, 40 seconds

In other bases

ternary (3) 1212221012101

quaternary (4) 3310300120

quinary (5) 224040040

senary (6) 33253144

septenary (7) 11343541

nonary (9) 1787171

undecimal (11) 625232

duodecimal (12) 4041b4

tridecimal (13) 29140c

tetradecimal (14) 1c14c8

pentadecimal (15) 14c09a

As an angle

1,002,520° = 2,784 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬二千五百二十
Chinese (financial): 壹佰萬貳仟伍佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٥٢٠ Devanagari १००२५२० Bengali ১০০২৫২০ Tamil ௧௦௦௨௫௨௦ Thai ๑๐๐๒๕๒๐ Tibetan ༡༠༠༢༥༢༠ Khmer ១០០២៥២០ Lao ໑໐໐໒໕໒໐ Burmese ၁၀၀၂၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002520, here are decompositions:

3 + 1002517 = 1002520
17 + 1002503 = 1002520
53 + 1002467 = 1002520
173 + 1002347 = 1002520
179 + 1002341 = 1002520
257 + 1002263 = 1002520
263 + 1002257 = 1002520
293 + 1002227 = 1002520

Showing the first eight; more decompositions exist.

Hex color

#0F4C18

RGB(15, 76, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.24.

Address: 0.15.76.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.24

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 1,002,520 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 US1,002,520 on Google Patents ↗ Look up on USPTO ↗