Live analysis

1,016,028

1,016,028 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.).

1,016,028 (one million sixteen thousand twenty-eight) is an even 7-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 13² × 167. Its proper divisors sum to 1,781,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80DC.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,016,016 1,016,017 1,016,018 1,016,019 1,016,020 1,016,021 1,016,022 1,016,023 1,016,024 1,016,025 1,016,026 1,016,027 1,016,028 1,016,029 1,016,030 1,016,031 1,016,032 1,016,033 1,016,034 1,016,035 1,016,036 1,016,037 1,016,038 1,016,039 1,016,040

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,206,101
Recamán's sequence: a(365,935) = 1,016,028
Square (n²): 1,032,312,896,784
Cube (n³): 1,048,858,807,893,653,952
Divisor count: 54
σ(n) — sum of divisors: 2,797,704
φ(n) — Euler's totient: 310,752
Sum of prime factors: 203

Primality

Prime factorization: 2 ² × 3 ² × 13 ² × 167

Nearest primes: 1,016,027 (−1) · 1,016,033 (+5)

Divisors & multiples

All divisors (54)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 167 · 169 · 234 · 334 · 338 · 468 · 501 · 507 · 668 · 676 · 1002 · 1014 · 1503 · 1521 · 2004 · 2028 · 2171 · 3006 · 3042 · 4342 · 6012 · 6084 · 6513 · 8684 · 13026 · 19539 · 26052 · 28223 · 39078 · 56446 · 78156 · 84669 · 112892 · 169338 · 254007 · 338676 · 508014 (half) · 1016028

Aliquot sum (sum of proper divisors): 1,781,676

Factor pairs (a × b = 1,016,028)

1 × 1016028

2 × 508014

3 × 338676

4 × 254007

6 × 169338

9 × 112892

12 × 84669

13 × 78156

18 × 56446

26 × 39078

36 × 28223

39 × 26052

52 × 19539

78 × 13026

117 × 8684

156 × 6513

167 × 6084

169 × 6012

234 × 4342

334 × 3042

338 × 3006

468 × 2171

501 × 2028

507 × 2004

668 × 1521

676 × 1503

1002 × 1014

First multiples

1,016,028 · 2,032,056 (double) · 3,048,084 · 4,064,112 · 5,080,140 · 6,096,168 · 7,112,196 · 8,128,224 · 9,144,252 · 10,160,280

Sums & aliquot sequence

As consecutive integers: 338,675 + 338,676 + 338,677 127,000 + 127,001 + … + 127,007 112,888 + 112,889 + … + 112,896 78,150 + 78,151 + … + 78,162

Aliquot sequence: 1,016,028 → 1,781,676 → 3,359,796 → 5,192,748 → 10,419,156 → 18,750,348 → 28,777,860 → 64,588,140 → 139,860,468 → 258,291,468 → 409,488,372 → 660,995,966 → 350,245,618 → 175,122,812 → 137,124,844 → 102,843,640 → 131,350,040 — unresolved within range

Continued fraction of √n

√1,016,028 = [1007; (1, 54, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand twenty-eight
Ordinal: 1016028th
Binary: 11111000000011011100
Octal: 3700334
Hexadecimal: 0xF80DC
Base64: D4Dc
One's complement: 4,293,951,267 (32-bit)
Scientific notation: 1.016028 × 10⁶
As a duration: 1,016,028 s = 11 days, 18 hours, 13 minutes, 48 seconds

In other bases

ternary (3) 1220121201200

quaternary (4) 3320003130

quinary (5) 230003103

senary (6) 33435500

septenary (7) 11431116

nonary (9) 1817650

undecimal (11) 6343a2

duodecimal (12) 40bb90

tridecimal (13) 297600

tetradecimal (14) 1c63b6

pentadecimal (15) 1510a3

As an angle

1,016,028° = 2,822 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千零二十八
Chinese (financial): 壹佰零壹萬陸仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠١٦٠٢٨ Devanagari १०१६०२८ Bengali ১০১৬০২৮ Tamil ௧௦௧௬௦௨௮ Thai ๑๐๑๖๐๒๘ Tibetan ༡༠༡༦༠༢༨ Khmer ១០១៦០២៨ Lao ໑໐໑໖໐໒໘ Burmese ၁၀၁၆၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016028, here are decompositions:

5 + 1016023 = 1016028
17 + 1016011 = 1016028
19 + 1016009 = 1016028
37 + 1015991 = 1016028
47 + 1015981 = 1016028
61 + 1015967 = 1016028
109 + 1015919 = 1016028
131 + 1015897 = 1016028

Showing the first eight; more decompositions exist.

Hex color

#0F80DC

RGB(15, 128, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.220.

Address: 0.15.128.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.220

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 6028 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6028-10-01 (MMDYYYY (US, single-digit day))
6028-01-10 (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 1,016,028 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 US1,016,028 on Google Patents ↗ Look up on USPTO ↗