Live analysis

1,024,016

1,024,016 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.).

1,024,016 (one million twenty-four thousand sixteen) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 41 × 223. Its proper divisors sum to 1,309,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA010.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,024,004 1,024,005 1,024,006 1,024,007 1,024,008 1,024,009 1,024,010 1,024,011 1,024,012 1,024,013 1,024,014 1,024,015 1,024,016 1,024,017 1,024,018 1,024,019 1,024,020 1,024,021 1,024,022 1,024,023 1,024,024 1,024,025 1,024,026 1,024,027 1,024,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 6,104,201
Square (n²): 1,048,608,768,256
Cube (n³): 1,073,792,156,434,436,096
Divisor count: 40
σ(n) — sum of divisors: 2,333,184
φ(n) — Euler's totient: 426,240
Sum of prime factors: 279

Primality

Prime factorization: 2 ⁴ × 7 × 41 × 223

Nearest primes: 1,023,991 (−25) · 1,024,021 (+5)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 41 · 56 · 82 · 112 · 164 · 223 · 287 · 328 · 446 · 574 · 656 · 892 · 1148 · 1561 · 1784 · 2296 · 3122 · 3568 · 4592 · 6244 · 9143 · 12488 · 18286 · 24976 · 36572 · 64001 · 73144 · 128002 · 146288 · 256004 · 512008 (half) · 1024016

Aliquot sum (sum of proper divisors): 1,309,168

Factor pairs (a × b = 1,024,016)

1 × 1024016

2 × 512008

4 × 256004

7 × 146288

8 × 128002

14 × 73144

16 × 64001

28 × 36572

41 × 24976

56 × 18286

82 × 12488

112 × 9143

164 × 6244

223 × 4592

287 × 3568

328 × 3122

446 × 2296

574 × 1784

656 × 1561

892 × 1148

First multiples

1,024,016 · 2,048,032 (double) · 3,072,048 · 4,096,064 · 5,120,080 · 6,144,096 · 7,168,112 · 8,192,128 · 9,216,144 · 10,240,160

Sums & aliquot sequence

As consecutive integers: 146,285 + 146,286 + … + 146,291 31,985 + 31,986 + … + 32,016 24,956 + 24,957 + … + 24,996 4,481 + 4,482 + … + 4,703

Aliquot sequence: 1,024,016 → 1,309,168 → 1,589,952 → 3,708,996 → 4,945,356 → 8,518,276 → 7,624,886 → 4,211,050 → 3,621,596 → 3,427,348 → 2,592,204 → 3,483,684 → 5,322,386 → 2,706,334 → 1,447,706 → 890,938 → 491,642 — unresolved within range

Continued fraction of √n

√1,024,016 = [1011; (1, 14, 1, 4, 3, 7, 1, 1, 2, 5, 1, 3, 9, 6, 1, 1, 8, 1, 1, 6, 9, 3, 1, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand sixteen
Ordinal: 1024016th
Binary: 11111010000000010000
Octal: 3720020
Hexadecimal: 0xFA010
Base64: D6AQ
One's complement: 4,293,943,279 (32-bit)
Scientific notation: 1.024016 × 10⁶
As a duration: 1,024,016 s = 11 days, 20 hours, 26 minutes, 56 seconds

In other bases

ternary (3) 1221000200112

quaternary (4) 3322000100

quinary (5) 230232031

senary (6) 33540452

septenary (7) 11463320

nonary (9) 1830615

undecimal (11) 63a3a4

duodecimal (12) 414728

tridecimal (13) 29b136

tetradecimal (14) 1c9280

pentadecimal (15) 15362b

As an angle

1,024,016° = 2,844 × 360° + 176°

176° ≈ 3.072 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬四千零一十六
Chinese (financial): 壹佰零貳萬肆仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠٢٤٠١٦ Devanagari १०२४०१६ Bengali ১০২৪০১৬ Tamil ௧௦௨௪௦௧௬ Thai ๑๐๒๔๐๑๖ Tibetan ༡༠༢༤༠༡༦ Khmer ១០២៤០១៦ Lao ໑໐໒໔໐໑໖ Burmese ၁၀၂၄၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024016, here are decompositions:

43 + 1023973 = 1024016
67 + 1023949 = 1024016
73 + 1023943 = 1024016
283 + 1023733 = 1024016
373 + 1023643 = 1024016
439 + 1023577 = 1024016
607 + 1023409 = 1024016
727 + 1023289 = 1024016

Showing the first eight; more decompositions exist.

Hex color

#0FA010

RGB(15, 160, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.16.

Address: 0.15.160.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 4016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4016-02-01 (DMMYYYY (Euro, single-digit day))
4016-10-02 (MMDYYYY (US, single-digit day))
4016-02-10 (DDMYYYY (Euro, single-digit month))

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 1,024,016 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,024,016 on Google Patents ↗ Look up on USPTO ↗