Live analysis

1,007,136

1,007,136 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.).

1,007,136 (one million seven thousand one hundred thirty-six) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 13 × 269. Its proper divisors sum to 2,088,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E20.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,124 1,007,125 1,007,126 1,007,127 1,007,128 1,007,129 1,007,130 1,007,131 1,007,132 1,007,133 1,007,134 1,007,135 1,007,136 1,007,137 1,007,138 1,007,139 1,007,140 1,007,141 1,007,142 1,007,143 1,007,144 1,007,145 1,007,146 1,007,147 1,007,148

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,317,001
Square (n²): 1,014,322,922,496
Cube (n³): 1,021,561,130,870,931,456
Divisor count: 72
σ(n) — sum of divisors: 3,095,820
φ(n) — Euler's totient: 308,736
Sum of prime factors: 298

Primality

Prime factorization: 2 ⁵ × 3 ² × 13 × 269

Nearest primes: 1,007,129 (−7) · 1,007,137 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 32 · 36 · 39 · 48 · 52 · 72 · 78 · 96 · 104 · 117 · 144 · 156 · 208 · 234 · 269 · 288 · 312 · 416 · 468 · 538 · 624 · 807 · 936 · 1076 · 1248 · 1614 · 1872 · 2152 · 2421 · 3228 · 3497 · 3744 · 4304 · 4842 · 6456 · 6994 · 8608 · 9684 · 10491 · 12912 · 13988 · 19368 · 20982 · 25824 · 27976 · 31473 · 38736 · 41964 · 55952 · 62946 · 77472 · 83928 · 111904 · 125892 · 167856 · 251784 · 335712 · 503568 (half) · 1007136

Aliquot sum (sum of proper divisors): 2,088,684

Factor pairs (a × b = 1,007,136)

1 × 1007136

2 × 503568

3 × 335712

4 × 251784

6 × 167856

8 × 125892

9 × 111904

12 × 83928

13 × 77472

16 × 62946

18 × 55952

24 × 41964

26 × 38736

32 × 31473

36 × 27976

39 × 25824

48 × 20982

52 × 19368

72 × 13988

78 × 12912

96 × 10491

104 × 9684

117 × 8608

144 × 6994

156 × 6456

208 × 4842

234 × 4304

269 × 3744

288 × 3497

312 × 3228

416 × 2421

468 × 2152

538 × 1872

624 × 1614

807 × 1248

936 × 1076

First multiples

1,007,136 · 2,014,272 (double) · 3,021,408 · 4,028,544 · 5,035,680 · 6,042,816 · 7,049,952 · 8,057,088 · 9,064,224 · 10,071,360

Sums & aliquot sequence

As a sum of two squares: 444² + 900² = 660² + 756²

As consecutive integers: 335,711 + 335,712 + 335,713 111,900 + 111,901 + … + 111,908 77,466 + 77,467 + … + 77,478 25,805 + 25,806 + … + 25,843

Aliquot sequence: 1,007,136 → 2,088,684 → 3,598,452 → 7,408,908 → 13,461,172 → 10,203,084 → 16,575,416 → 19,939,384 → 17,446,976 → 18,930,904 → 16,617,296 → 17,755,504 → 19,292,472 → 34,298,328 → 51,447,552 → 96,039,312 → 154,632,144 — unresolved within range

Continued fraction of √n

√1,007,136 = [1003; (1, 1, 3, 1, 1, 4, 13, 1, 2, 1, 1, 3, 1, 1, 2, 501, 2, 1, 1, 3, 1, 1, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand one hundred thirty-six
Ordinal: 1007136th
Binary: 11110101111000100000
Octal: 3657040
Hexadecimal: 0xF5E20
Base64: D14g
One's complement: 4,293,960,159 (32-bit)
Scientific notation: 1.007136 × 10⁶
As a duration: 1,007,136 s = 11 days, 15 hours, 45 minutes, 36 seconds

In other bases

ternary (3) 1220011112100

quaternary (4) 3311320200

quinary (5) 224212021

senary (6) 33330400

septenary (7) 11363154

nonary (9) 1804470

undecimal (11) 628749

duodecimal (12) 406a00

tridecimal (13) 293550

tetradecimal (14) 1c3064

pentadecimal (15) 14d626

As an angle

1,007,136° = 2,797 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千一百三十六
Chinese (financial): 壹佰萬柒仟壹佰參拾陸

In other modern scripts

Eastern Arabic ١٠٠٧١٣٦ Devanagari १००७१३६ Bengali ১০০৭১৩৬ Tamil ௧௦௦௭௧௩௬ Thai ๑๐๐๗๑๓๖ Tibetan ༡༠༠༧༡༣༦ Khmer ១០០៧១៣៦ Lao ໑໐໐໗໑໓໖ Burmese ၁၀၀၇၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007136, here are decompositions:

7 + 1007129 = 1007136
17 + 1007119 = 1007136
19 + 1007117 = 1007136
37 + 1007099 = 1007136
47 + 1007089 = 1007136
89 + 1007047 = 1007136
113 + 1007023 = 1007136
149 + 1006987 = 1007136

Showing the first eight; more decompositions exist.

Hex color

#0F5E20

RGB(15, 94, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.32.

Address: 0.15.94.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.32

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 1,007,136 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 US1,007,136 on Google Patents ↗ Look up on USPTO ↗