Live analysis

1,000,840

1,000,840 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.).

1,000,840 (one million eight hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 131 × 191. Its proper divisors sum to 1,280,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4588.

Abundant Number Arithmetic Number Gapful Number Odious Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,828 1,000,829 1,000,830 1,000,831 1,000,832 1,000,833 1,000,834 1,000,835 1,000,836 1,000,837 1,000,838 1,000,839 1,000,840 1,000,841 1,000,842 1,000,843 1,000,844 1,000,845 1,000,846 1,000,847 1,000,848 1,000,849 1,000,850 1,000,851 1,000,852

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 480,001
Square (n²): 1,001,680,705,600
Cube (n³): 1,002,522,117,392,704,000
Divisor count: 32
σ(n) — sum of divisors: 2,280,960
φ(n) — Euler's totient: 395,200
Sum of prime factors: 333

Primality

Prime factorization: 2 ³ × 5 × 131 × 191

Nearest primes: 1,000,829 (−11) · 1,000,847 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 131 · 191 · 262 · 382 · 524 · 655 · 764 · 955 · 1048 · 1310 · 1528 · 1910 · 2620 · 3820 · 5240 · 7640 · 25021 · 50042 · 100084 · 125105 · 200168 · 250210 · 500420 (half) · 1000840

Aliquot sum (sum of proper divisors): 1,280,120

Factor pairs (a × b = 1,000,840)

1 × 1000840

2 × 500420

4 × 250210

5 × 200168

8 × 125105

10 × 100084

20 × 50042

40 × 25021

131 × 7640

191 × 5240

262 × 3820

382 × 2620

524 × 1910

655 × 1528

764 × 1310

955 × 1048

First multiples

1,000,840 · 2,001,680 (double) · 3,002,520 · 4,003,360 · 5,004,200 · 6,005,040 · 7,005,880 · 8,006,720 · 9,007,560 · 10,008,400

Sums & aliquot sequence

As consecutive integers: 200,166 + 200,167 + 200,168 + 200,169 + 200,170 62,545 + 62,546 + … + 62,560 12,471 + 12,472 + … + 12,550 7,575 + 7,576 + … + 7,705

Aliquot sequence: 1,000,840 → 1,280,120 → 1,600,240 → 2,180,768 → 2,300,800 → 3,390,800 → 6,140,398 → 3,907,562 → 2,208,694 → 1,135,634 → 689,134 → 344,570 → 275,674 → 227,066 → 171,334 → 85,670 → 80,650 — unresolved within range

Continued fraction of √n

√1,000,840 = [1000; (2, 2, 1, 1, 1, 1, 1, 3, 1, 11, 17, 1, 15, 1, 6, 1, 1, 1, 3, 4, 1, 12, 64, 2, …)]

Representations

In words: one million eight hundred forty
Ordinal: 1000840th
Binary: 11110100010110001000
Octal: 3642610
Hexadecimal: 0xF4588
Base64: D0WI
One's complement: 4,293,966,455 (32-bit)
Scientific notation: 1.00084 × 10⁶
As a duration: 1,000,840 s = 11 days, 14 hours, 40 seconds

In other bases

ternary (3) 1212211220011

quaternary (4) 3310112020

quinary (5) 224011330

senary (6) 33241304

septenary (7) 11335621

nonary (9) 1784804

undecimal (11) 623a45

duodecimal (12) 403234

tridecimal (13) 290719

tetradecimal (14) 1c0a48

pentadecimal (15) 14b82a

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬零八百四十
Chinese (financial): 壹佰萬零捌佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٠٨٤٠ Devanagari १०००८४० Bengali ১০০০৮৪০ Tamil ௧௦௦௦௮௪௦ Thai ๑๐๐๐๘๔๐ Tibetan ༡༠༠༠༨༤༠ Khmer ១០០០៨៤០ Lao ໑໐໐໐໘໔໐ Burmese ၁၀၀၀၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000840, here are decompositions:

11 + 1000829 = 1000840
47 + 1000793 = 1000840
149 + 1000691 = 1000840
173 + 1000667 = 1000840
251 + 1000589 = 1000840
263 + 1000577 = 1000840
293 + 1000547 = 1000840
383 + 1000457 = 1000840

Showing the first eight; more decompositions exist.

Hex color

#0F4588

RGB(15, 69, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.69.136.

Address: 0.15.69.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.69.136

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 1,000,840 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 US1,000,840 on Google Patents ↗ Look up on USPTO ↗