Live analysis

1,008,064

1,008,064 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.).

1,008,064 (one million eight thousand sixty-four) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 19 × 829. Its proper divisors sum to 1,100,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61C0.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,008,052 1,008,053 1,008,054 1,008,055 1,008,056 1,008,057 1,008,058 1,008,059 1,008,060 1,008,061 1,008,062 1,008,063 1,008,064 1,008,065 1,008,066 1,008,067 1,008,068 1,008,069 1,008,070 1,008,071 1,008,072 1,008,073 1,008,074 1,008,075 1,008,076

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,608,001
Recamán's sequence: a(349,323) = 1,008,064
Square (n²): 1,016,193,028,096
Cube (n³): 1,024,387,608,674,566,144
Divisor count: 28
σ(n) — sum of divisors: 2,108,200
φ(n) — Euler's totient: 476,928
Sum of prime factors: 860

Primality

Prime factorization: 2 ⁶ × 19 × 829

Nearest primes: 1,008,043 (−21) · 1,008,101 (+37)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 16 · 19 · 32 · 38 · 64 · 76 · 152 · 304 · 608 · 829 · 1216 · 1658 · 3316 · 6632 · 13264 · 15751 · 26528 · 31502 · 53056 · 63004 · 126008 · 252016 · 504032 (half) · 1008064

Aliquot sum (sum of proper divisors): 1,100,136

Factor pairs (a × b = 1,008,064)

1 × 1008064

2 × 504032

4 × 252016

8 × 126008

16 × 63004

19 × 53056

32 × 31502

38 × 26528

64 × 15751

76 × 13264

152 × 6632

304 × 3316

608 × 1658

829 × 1216

First multiples

1,008,064 · 2,016,128 (double) · 3,024,192 · 4,032,256 · 5,040,320 · 6,048,384 · 7,056,448 · 8,064,512 · 9,072,576 · 10,080,640

Sums & aliquot sequence

As consecutive integers: 53,047 + 53,048 + … + 53,065 7,812 + 7,813 + … + 7,939 802 + 803 + … + 1,630

Aliquot sequence: 1,008,064 → 1,100,136 → 1,771,224 → 3,685,416 → 6,844,824 → 15,169,896 → 33,982,104 → 57,509,016 → 92,515,944 → 141,584,856 → 262,943,784 → 449,195,826 → 483,387,342 → 483,653,298 → 541,845,582 → 547,835,010 → 766,969,086 — unresolved within range

Continued fraction of √n

√1,008,064 = [1004; (41, 1, 5, 55, 1, 1, 1, 1, 2, 1, 3, 1, 12, 1, 1, 24, 3, 1, 2, 9, 1, 1, 1, 2, …)]

Representations

In words: one million eight thousand sixty-four
Ordinal: 1008064th
Binary: 11110110000111000000
Octal: 3660700
Hexadecimal: 0xF61C0
Base64: D2HA
One's complement: 4,293,959,231 (32-bit)
Scientific notation: 1.008064 × 10⁶
As a duration: 1,008,064 s = 11 days, 16 hours, 1 minute, 4 seconds

In other bases

ternary (3) 1220012210201

quaternary (4) 3312013000

quinary (5) 224224224

senary (6) 33334544

septenary (7) 11365651

nonary (9) 1805721

undecimal (11) 629412

duodecimal (12) 407454

tridecimal (13) 293ab5

tetradecimal (14) 1c3528

pentadecimal (15) 14da44

As an angle

1,008,064° = 2,800 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬八千零六十四
Chinese (financial): 壹佰萬捌仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٨٠٦٤ Devanagari १००८०६४ Bengali ১০০৮০৬৪ Tamil ௧௦௦௮௦௬௪ Thai ๑๐๐๘๐๖๔ Tibetan ༡༠༠༨༠༦༤ Khmer ១០០៨០៦៤ Lao ໑໐໐໘໐໖໔ Burmese ၁၀၀၈၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008064, here are decompositions:

23 + 1008041 = 1008064
47 + 1008017 = 1008064
107 + 1007957 = 1008064
131 + 1007933 = 1008064
173 + 1007891 = 1008064
191 + 1007873 = 1008064
251 + 1007813 = 1008064
257 + 1007807 = 1008064

Showing the first eight; more decompositions exist.

Hex color

#0F61C0

RGB(15, 97, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.192.

Address: 0.15.97.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.192

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 1,008,064 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 US1,008,064 on Google Patents ↗ Look up on USPTO ↗