Live analysis

1,002,064

1,002,064 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.).

1,002,064 (one million two thousand sixty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 23 × 389. Its proper divisors sum to 1,319,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A50.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,052 1,002,053 1,002,054 1,002,055 1,002,056 1,002,057 1,002,058 1,002,059 1,002,060 1,002,061 1,002,062 1,002,063 1,002,064 1,002,065 1,002,066 1,002,067 1,002,068 1,002,069 1,002,070 1,002,071 1,002,072 1,002,073 1,002,074 1,002,075 1,002,076

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,602,001
Square (n²): 1,004,132,260,096
Cube (n³): 1,006,204,789,080,838,144
Divisor count: 40
σ(n) — sum of divisors: 2,321,280
φ(n) — Euler's totient: 409,728
Sum of prime factors: 427

Primality

Prime factorization: 2 ⁴ × 7 × 23 × 389

Nearest primes: 1,002,061 (−3) · 1,002,073 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 23 · 28 · 46 · 56 · 92 · 112 · 161 · 184 · 322 · 368 · 389 · 644 · 778 · 1288 · 1556 · 2576 · 2723 · 3112 · 5446 · 6224 · 8947 · 10892 · 17894 · 21784 · 35788 · 43568 · 62629 · 71576 · 125258 · 143152 · 250516 · 501032 (half) · 1002064

Aliquot sum (sum of proper divisors): 1,319,216

Factor pairs (a × b = 1,002,064)

1 × 1002064

2 × 501032

4 × 250516

7 × 143152

8 × 125258

14 × 71576

16 × 62629

23 × 43568

28 × 35788

46 × 21784

56 × 17894

92 × 10892

112 × 8947

161 × 6224

184 × 5446

322 × 3112

368 × 2723

389 × 2576

644 × 1556

778 × 1288

First multiples

1,002,064 · 2,004,128 (double) · 3,006,192 · 4,008,256 · 5,010,320 · 6,012,384 · 7,014,448 · 8,016,512 · 9,018,576 · 10,020,640

Sums & aliquot sequence

As consecutive integers: 143,149 + 143,150 + … + 143,155 43,557 + 43,558 + … + 43,579 31,299 + 31,300 + … + 31,330 6,144 + 6,145 + … + 6,304

Aliquot sequence: 1,002,064 → 1,319,216 → 1,300,408 → 1,184,672 → 1,147,714 → 664,526 → 332,266 → 215,960 → 270,040 → 355,640 → 493,240 → 802,760 → 1,339,960 → 1,709,240 → 2,675,560 → 3,344,540 → 3,844,180 — unresolved within range

Continued fraction of √n

√1,002,064 = [1001; (31, 1, 3, 1, 1, 24, 6, 4, 1, 1, 1, 2, 1, 9, 1, 1, 1, 5, 4, 3, 3, 4, 2, 222, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million two thousand sixty-four
Ordinal: 1002064th
Binary: 11110100101001010000
Octal: 3645120
Hexadecimal: 0xF4A50
Base64: D0pQ
One's complement: 4,293,965,231 (32-bit)
Scientific notation: 1.002064 × 10⁶
As a duration: 1,002,064 s = 11 days, 14 hours, 21 minutes, 4 seconds

In other bases

ternary (3) 1212220120111

quaternary (4) 3310221100

quinary (5) 224031224

senary (6) 33251104

septenary (7) 11342320

nonary (9) 1786514

undecimal (11) 624958

duodecimal (12) 403a94

tridecimal (13) 29114b

tetradecimal (14) 1c1280

pentadecimal (15) 14bd94

As an angle

1,002,064° = 2,783 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零六十四
Chinese (financial): 壹佰萬貳仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٢٠٦٤ Devanagari १००२०६४ Bengali ১০০২০৬৪ Tamil ௧௦௦௨௦௬௪ Thai ๑๐๐๒๐๖๔ Tibetan ༡༠༠༢༠༦༤ Khmer ១០០២០៦៤ Lao ໑໐໐໒໐໖໔ Burmese ၁၀၀၂၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002064, here are decompositions:

3 + 1002061 = 1002064
47 + 1002017 = 1002064
83 + 1001981 = 1002064
131 + 1001933 = 1002064
233 + 1001831 = 1002064
257 + 1001807 = 1002064
263 + 1001801 = 1002064
281 + 1001783 = 1002064

Showing the first eight; more decompositions exist.

Hex color

#0F4A50

RGB(15, 74, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.80.

Address: 0.15.74.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.80

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 1,002,064 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 US1,002,064 on Google Patents ↗ Look up on USPTO ↗