Live analysis

1,006,128

1,006,128 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.).

1,006,128 (one million six thousand one hundred twenty-eight) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 17 × 137. Its proper divisors sum to 2,074,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A30.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,006,116 1,006,117 1,006,118 1,006,119 1,006,120 1,006,121 1,006,122 1,006,123 1,006,124 1,006,125 1,006,126 1,006,127 1,006,128 1,006,129 1,006,130 1,006,131 1,006,132 1,006,133 1,006,134 1,006,135 1,006,136 1,006,137 1,006,138 1,006,139 1,006,140

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,216,001
Square (n²): 1,012,293,552,384
Cube (n³): 1,018,496,887,273,009,152
Divisor count: 80
σ(n) — sum of divisors: 3,080,160
φ(n) — Euler's totient: 313,344
Sum of prime factors: 171

Primality

Prime factorization: 2 ⁴ × 3 ³ × 17 × 137

Nearest primes: 1,006,123 (−5) · 1,006,133 (+5)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 27 · 34 · 36 · 48 · 51 · 54 · 68 · 72 · 102 · 108 · 136 · 137 · 144 · 153 · 204 · 216 · 272 · 274 · 306 · 408 · 411 · 432 · 459 · 548 · 612 · 816 · 822 · 918 · 1096 · 1224 · 1233 · 1644 · 1836 · 2192 · 2329 · 2448 · 2466 · 3288 · 3672 · 3699 · 4658 · 4932 · 6576 · 6987 · 7344 · 7398 · 9316 · 9864 · 13974 · 14796 · 18632 · 19728 · 20961 · 27948 · 29592 · 37264 · 41922 · 55896 · 59184 · 62883 · 83844 · 111792 · 125766 · 167688 · 251532 · 335376 · 503064 (half) · 1006128

Aliquot sum (sum of proper divisors): 2,074,032

Factor pairs (a × b = 1,006,128)

1 × 1006128

2 × 503064

3 × 335376

4 × 251532

6 × 167688

8 × 125766

9 × 111792

12 × 83844

16 × 62883

17 × 59184

18 × 55896

24 × 41922

27 × 37264

34 × 29592

36 × 27948

48 × 20961

51 × 19728

54 × 18632

68 × 14796

72 × 13974

102 × 9864

108 × 9316

136 × 7398

137 × 7344

144 × 6987

153 × 6576

204 × 4932

216 × 4658

272 × 3699

274 × 3672

306 × 3288

408 × 2466

411 × 2448

432 × 2329

459 × 2192

548 × 1836

612 × 1644

816 × 1233

822 × 1224

918 × 1096

First multiples

1,006,128 · 2,012,256 (double) · 3,018,384 · 4,024,512 · 5,030,640 · 6,036,768 · 7,042,896 · 8,049,024 · 9,055,152 · 10,061,280

Sums & aliquot sequence

As consecutive integers: 335,375 + 335,376 + 335,377 111,788 + 111,789 + … + 111,796 59,176 + 59,177 + … + 59,192 37,251 + 37,252 + … + 37,277

Aliquot sequence: 1,006,128 → 2,074,032 → 3,880,448 → 5,400,208 → 6,224,048 → 5,835,076 → 5,161,896 → 8,818,434 → 10,288,212 → 16,552,812 → 22,288,900 → 28,627,980 → 52,899,060 → 96,067,212 → 128,814,564 → 171,752,780 → 209,271,220 — unresolved within range

Continued fraction of √n

√1,006,128 = [1003; (16, 1, 6, 40, 1, 3, 1, 13, 7, 1, 1, 4, 62, 2, 8, 222, 1, 3, 1, 1, 1, 3, 6, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million six thousand one hundred twenty-eight
Ordinal: 1006128th
Binary: 11110101101000110000
Octal: 3655060
Hexadecimal: 0xF5A30
Base64: D1ow
One's complement: 4,293,961,167 (32-bit)
Scientific notation: 1.006128 × 10⁶
As a duration: 1,006,128 s = 11 days, 15 hours, 28 minutes, 48 seconds

In other bases

ternary (3) 1220010011000

quaternary (4) 3311220300

quinary (5) 224144003

senary (6) 33322000

septenary (7) 11360214

nonary (9) 1803130

undecimal (11) 627a12

duodecimal (12) 406300

tridecimal (13) 292c56

tetradecimal (14) 1c2944

pentadecimal (15) 14d1a3

As an angle

1,006,128° = 2,794 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千一百二十八
Chinese (financial): 壹佰萬陸仟壹佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٦١٢٨ Devanagari १००६१२८ Bengali ১০০৬১২৮ Tamil ௧௦௦௬௧௨௮ Thai ๑๐๐๖๑๒๘ Tibetan ༡༠༠༦༡༢༨ Khmer ១០០៦១២៨ Lao ໑໐໐໖໑໒໘ Burmese ၁၀၀၆၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006128, here are decompositions:

5 + 1006123 = 1006128
37 + 1006091 = 1006128
41 + 1006087 = 1006128
107 + 1006021 = 1006128
139 + 1005989 = 1006128
157 + 1005971 = 1006128
191 + 1005937 = 1006128
197 + 1005931 = 1006128

Showing the first eight; more decompositions exist.

Hex color

#0F5A30

RGB(15, 90, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.48.

Address: 0.15.90.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.48

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 1,006,128 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 US1,006,128 on Google Patents ↗ Look up on USPTO ↗