Live analysis

1,000,540

1,000,540 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.).

1,000,540 (one million five hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 19 × 2,633. Its proper divisors sum to 1,212,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF445C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,528 1,000,529 1,000,530 1,000,531 1,000,532 1,000,533 1,000,534 1,000,535 1,000,536 1,000,537 1,000,538 1,000,539 1,000,540 1,000,541 1,000,542 1,000,543 1,000,544 1,000,545 1,000,546 1,000,547 1,000,548 1,000,549 1,000,550 1,000,551 1,000,552

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 450,001
Square (n²): 1,001,080,291,600
Cube (n³): 1,001,620,874,957,464,000
Divisor count: 24
σ(n) — sum of divisors: 2,212,560
φ(n) — Euler's totient: 379,008
Sum of prime factors: 2,661

Primality

Prime factorization: 2 ² × 5 × 19 × 2633

Nearest primes: 1,000,537 (−3) · 1,000,541 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 19 · 20 · 38 · 76 · 95 · 190 · 380 · 2633 · 5266 · 10532 · 13165 · 26330 · 50027 · 52660 · 100054 · 200108 · 250135 · 500270 (half) · 1000540

Aliquot sum (sum of proper divisors): 1,212,020

Factor pairs (a × b = 1,000,540)

1 × 1000540

2 × 500270

4 × 250135

5 × 200108

10 × 100054

19 × 52660

20 × 50027

38 × 26330

76 × 13165

95 × 10532

190 × 5266

380 × 2633

First multiples

1,000,540 · 2,001,080 (double) · 3,001,620 · 4,002,160 · 5,002,700 · 6,003,240 · 7,003,780 · 8,004,320 · 9,004,860 · 10,005,400

Sums & aliquot sequence

As consecutive integers: 200,106 + 200,107 + 200,108 + 200,109 + 200,110 125,064 + 125,065 + … + 125,071 52,651 + 52,652 + … + 52,669 24,994 + 24,995 + … + 25,033

Aliquot sequence: 1,000,540 → 1,212,020 → 1,333,264 → 1,362,992 → 1,433,704 → 1,254,506 → 819,094 → 481,874 → 243,886 → 124,394 → 72,028 → 65,564 → 52,540 → 62,372 → 50,524 → 43,220 → 47,584 — unresolved within range

Continued fraction of √n

√1,000,540 = [1000; (3, 1, 2, 2, 1, 1, 1, 2, 8, 1, 3, 13, 5, 1, 8, 1, 1, 1, 4, 1, 1, 1, 104, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million five hundred forty
Ordinal: 1000540th
Binary: 11110100010001011100
Octal: 3642134
Hexadecimal: 0xF445C
Base64: D0Rc
One's complement: 4,293,966,755 (32-bit)
Scientific notation: 1.00054 × 10⁶
As a duration: 1,000,540 s = 11 days, 13 hours, 55 minutes, 40 seconds

In other bases

ternary (3) 1212211111001

quaternary (4) 3310101130

quinary (5) 224004130

senary (6) 33240044

septenary (7) 11335012

nonary (9) 1784431

undecimal (11) 6237a2

duodecimal (12) 403024

tridecimal (13) 290548

tetradecimal (14) 1c08b2

pentadecimal (15) 14b6ca

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬零五百四十
Chinese (financial): 壹佰萬零伍佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٠٥٤٠ Devanagari १०००५४० Bengali ১০০০৫৪০ Tamil ௧௦௦௦௫௪௦ Thai ๑๐๐๐๕๔๐ Tibetan ༡༠༠༠༥༤༠ Khmer ១០០០៥៤០ Lao ໑໐໐໐໕໔໐ Burmese ၁၀၀၀၅၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000540, here are decompositions:

3 + 1000537 = 1000540
83 + 1000457 = 1000540
113 + 1000427 = 1000540
131 + 1000409 = 1000540
137 + 1000403 = 1000540
173 + 1000367 = 1000540
227 + 1000313 = 1000540
251 + 1000289 = 1000540

Showing the first eight; more decompositions exist.

Hex color

#0F445C

RGB(15, 68, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.92.

Address: 0.15.68.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.92

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 1,000,540 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 US1,000,540 on Google Patents ↗ Look up on USPTO ↗