Live analysis

1,006,540

1,006,540 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.).

1,006,540 (one million six thousand five hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 59 × 853. Its proper divisors sum to 1,145,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5BCC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,528 1,006,529 1,006,530 1,006,531 1,006,532 1,006,533 1,006,534 1,006,535 1,006,536 1,006,537 1,006,538 1,006,539 1,006,540 1,006,541 1,006,542 1,006,543 1,006,544 1,006,545 1,006,546 1,006,547 1,006,548 1,006,549 1,006,550 1,006,551 1,006,552

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 456,001
Square (n²): 1,013,122,771,600
Cube (n³): 1,019,748,594,526,264,000
Divisor count: 24
σ(n) — sum of divisors: 2,152,080
φ(n) — Euler's totient: 395,328
Sum of prime factors: 921

Primality

Prime factorization: 2 ² × 5 × 59 × 853

Nearest primes: 1,006,531 (−9) · 1,006,543 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 59 · 118 · 236 · 295 · 590 · 853 · 1180 · 1706 · 3412 · 4265 · 8530 · 17060 · 50327 · 100654 · 201308 · 251635 · 503270 (half) · 1006540

Aliquot sum (sum of proper divisors): 1,145,540

Factor pairs (a × b = 1,006,540)

1 × 1006540

2 × 503270

4 × 251635

5 × 201308

10 × 100654

20 × 50327

59 × 17060

118 × 8530

236 × 4265

295 × 3412

590 × 1706

853 × 1180

First multiples

1,006,540 · 2,013,080 (double) · 3,019,620 · 4,026,160 · 5,032,700 · 6,039,240 · 7,045,780 · 8,052,320 · 9,058,860 · 10,065,400

Sums & aliquot sequence

As consecutive integers: 201,306 + 201,307 + 201,308 + 201,309 + 201,310 125,814 + 125,815 + … + 125,821 25,144 + 25,145 + … + 25,183 17,031 + 17,032 + … + 17,089

Aliquot sequence: 1,006,540 → 1,145,540 → 1,563,964 → 1,172,980 → 1,310,732 → 995,404 → 746,560 → 1,031,948 → 773,968 → 867,854 → 583,666 → 291,836 → 218,884 → 164,170 → 131,354 → 65,680 → 87,212 — unresolved within range

Continued fraction of √n

√1,006,540 = [1003; (3, 1, 3, 1, 1, 24, 4, 1, 2, 4, 8, 1, 13, 1, 6, 3, 1, 6, 5, 2, 2, 1, 6, 2, …)]

Representations

In words: one million six thousand five hundred forty
Ordinal: 1006540th
Binary: 11110101101111001100
Octal: 3655714
Hexadecimal: 0xF5BCC
Base64: D1vM
One's complement: 4,293,960,755 (32-bit)
Scientific notation: 1.00654 × 10⁶
As a duration: 1,006,540 s = 11 days, 15 hours, 35 minutes, 40 seconds

In other bases

ternary (3) 1220010201021

quaternary (4) 3311233030

quinary (5) 224202130

senary (6) 33323524

septenary (7) 11361343

nonary (9) 1803637

undecimal (11) 628257

duodecimal (12) 4065a4

tridecimal (13) 2931b2

tetradecimal (14) 1c2b5a

pentadecimal (15) 14d37a

As an angle

1,006,540° = 2,795 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬六千五百四十
Chinese (financial): 壹佰萬陸仟伍佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٦٥٤٠ Devanagari १००६५४० Bengali ১০০৬৫৪০ Tamil ௧௦௦௬௫௪௦ Thai ๑๐๐๖๕๔๐ Tibetan ༡༠༠༦༥༤༠ Khmer ១០០៦៥៤០ Lao ໑໐໐໖໕໔໐ Burmese ၁၀၀၆၅၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006540, here are decompositions:

47 + 1006493 = 1006540
71 + 1006469 = 1006540
107 + 1006433 = 1006540
149 + 1006391 = 1006540
173 + 1006367 = 1006540
179 + 1006361 = 1006540
233 + 1006307 = 1006540
239 + 1006301 = 1006540

Showing the first eight; more decompositions exist.

Hex color

#0F5BCC

RGB(15, 91, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.204.

Address: 0.15.91.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.204

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 1,006,540 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 US1,006,540 on Google Patents ↗ Look up on USPTO ↗