Live analysis

1,009,064

1,009,064 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.).

1,009,064 (one million nine thousand sixty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 37 × 487. Its proper divisors sum to 1,216,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF65A8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,009,052 1,009,053 1,009,054 1,009,055 1,009,056 1,009,057 1,009,058 1,009,059 1,009,060 1,009,061 1,009,062 1,009,063 1,009,064 1,009,065 1,009,066 1,009,067 1,009,068 1,009,069 1,009,070 1,009,071 1,009,072 1,009,073 1,009,074 1,009,075 1,009,076

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,609,001
Recamán's sequence: a(347,323) = 1,009,064
Square (n²): 1,018,210,156,096
Cube (n³): 1,027,439,212,950,854,144
Divisor count: 32
σ(n) — sum of divisors: 2,225,280
φ(n) — Euler's totient: 419,904
Sum of prime factors: 537

Primality

Prime factorization: 2 ³ × 7 × 37 × 487

Nearest primes: 1,009,061 (−3) · 1,009,097 (+33)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 37 · 56 · 74 · 148 · 259 · 296 · 487 · 518 · 974 · 1036 · 1948 · 2072 · 3409 · 3896 · 6818 · 13636 · 18019 · 27272 · 36038 · 72076 · 126133 · 144152 · 252266 · 504532 (half) · 1009064

Aliquot sum (sum of proper divisors): 1,216,216

Factor pairs (a × b = 1,009,064)

1 × 1009064

2 × 504532

4 × 252266

7 × 144152

8 × 126133

14 × 72076

28 × 36038

37 × 27272

56 × 18019

74 × 13636

148 × 6818

259 × 3896

296 × 3409

487 × 2072

518 × 1948

974 × 1036

First multiples

1,009,064 · 2,018,128 (double) · 3,027,192 · 4,036,256 · 5,045,320 · 6,054,384 · 7,063,448 · 8,072,512 · 9,081,576 · 10,090,640

Sums & aliquot sequence

As consecutive integers: 144,149 + 144,150 + … + 144,155 63,059 + 63,060 + … + 63,074 27,254 + 27,255 + … + 27,290 8,954 + 8,955 + … + 9,065

Aliquot sequence: 1,009,064 → 1,216,216 → 1,064,204 → 798,160 → 1,228,496 → 1,151,746 → 592,958 → 296,482 → 156,794 → 99,814 → 76,586 → 39,514 → 22,406 → 13,234 → 8,186 → 4,096 → 4,095 — unresolved within range

Continued fraction of √n

√1,009,064 = [1004; (1, 1, 10, 1, 49, 3, 5, 6, 1, 79, 1, 1, 286, 1, 1, 79, 1, 6, 5, 3, 49, 1, 10, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand sixty-four
Ordinal: 1009064th
Binary: 11110110010110101000
Octal: 3662650
Hexadecimal: 0xF65A8
Base64: D2Wo
One's complement: 4,293,958,231 (32-bit)
Scientific notation: 1.009064 × 10⁶
As a duration: 1,009,064 s = 11 days, 16 hours, 17 minutes, 44 seconds

In other bases

ternary (3) 1220021011202

quaternary (4) 3312112220

quinary (5) 224242224

senary (6) 33343332

septenary (7) 11401610

nonary (9) 1807152

undecimal (11) 62a141

duodecimal (12) 407b48

tridecimal (13) 2943a4

tetradecimal (14) 1c3a40

pentadecimal (15) 14deae

As an angle

1,009,064° = 2,802 × 360° + 344°

344° ≈ 6.004 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千零六十四
Chinese (financial): 壹佰萬玖仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٩٠٦٤ Devanagari १००९०६४ Bengali ১০০৯০৬৪ Tamil ௧௦௦௯௦௬௪ Thai ๑๐๐๙๐๖๔ Tibetan ༡༠༠༩༠༦༤ Khmer ១០០៩០៦៤ Lao ໑໐໐໙໐໖໔ Burmese ၁၀၀၉၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009064, here are decompositions:

3 + 1009061 = 1009064
73 + 1008991 = 1009064
127 + 1008937 = 1009064
151 + 1008913 = 1009064
163 + 1008901 = 1009064
193 + 1008871 = 1009064
211 + 1008853 = 1009064
271 + 1008793 = 1009064

Showing the first eight; more decompositions exist.

Hex color

#0F65A8

RGB(15, 101, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.168.

Address: 0.15.101.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.168

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 1,009,064 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 US1,009,064 on Google Patents ↗ Look up on USPTO ↗