Live analysis

1,013,136

1,013,136 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.).

1,013,136 (one million thirteen thousand one hundred thirty-six) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 21,107. Its proper divisors sum to 1,604,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7590.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,124 1,013,125 1,013,126 1,013,127 1,013,128 1,013,129 1,013,130 1,013,131 1,013,132 1,013,133 1,013,134 1,013,135 1,013,136 1,013,137 1,013,138 1,013,139 1,013,140 1,013,141 1,013,142 1,013,143 1,013,144 1,013,145 1,013,146 1,013,147 1,013,148

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,313,101
Square (n²): 1,026,444,554,496
Cube (n³): 1,039,927,930,163,859,456
Divisor count: 20
σ(n) — sum of divisors: 2,617,392
φ(n) — Euler's totient: 337,696
Sum of prime factors: 21,118

Primality

Prime factorization: 2 ⁴ × 3 × 21107

Nearest primes: 1,013,063 (−73) · 1,013,143 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 21107 · 42214 · 63321 · 84428 · 126642 · 168856 · 253284 · 337712 · 506568 (half) · 1013136

Aliquot sum (sum of proper divisors): 1,604,256

Factor pairs (a × b = 1,013,136)

1 × 1013136

2 × 506568

3 × 337712

4 × 253284

6 × 168856

8 × 126642

12 × 84428

16 × 63321

24 × 42214

48 × 21107

First multiples

1,013,136 · 2,026,272 (double) · 3,039,408 · 4,052,544 · 5,065,680 · 6,078,816 · 7,091,952 · 8,105,088 · 9,118,224 · 10,131,360

Sums & aliquot sequence

As consecutive integers: 337,711 + 337,712 + 337,713 31,645 + 31,646 + … + 31,676 10,506 + 10,507 + … + 10,601

Aliquot sequence: 1,013,136 → 1,604,256 → 2,859,168 → 5,608,032 → 9,113,304 → 13,670,016 → 23,115,264 → 39,492,336 → 76,194,704 → 71,569,276 → 60,269,004 → 96,198,580 → 124,625,996 → 113,698,804 → 85,352,496 → 135,141,576 → 210,955,224 — unresolved within range

Continued fraction of √n

√1,013,136 = [1006; (1, 1, 4, 1, 6, 1, 1, 2, 1, 1, 15, 6, 1, 9, 6, 2, 1, 2, 4, 7, 1, 1, 1, 2, …)]

Representations

In words: one million thirteen thousand one hundred thirty-six
Ordinal: 1013136th
Binary: 11110111010110010000
Octal: 3672620
Hexadecimal: 0xF7590
Base64: D3WQ
One's complement: 4,293,954,159 (32-bit)
Scientific notation: 1.013136 × 10⁶
As a duration: 1,013,136 s = 11 days, 17 hours, 25 minutes, 36 seconds

In other bases

ternary (3) 1220110202120

quaternary (4) 3313112100

quinary (5) 224410021

senary (6) 33414240

septenary (7) 11416515

nonary (9) 1813676

undecimal (11) 632203

duodecimal (12) 40a380

tridecimal (13) 2961b7

tetradecimal (14) 1c530c

pentadecimal (15) 1502c6

As an angle

1,013,136° = 2,814 × 360° + 96°

96° ≈ 1.676 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百三十六
Chinese (financial): 壹佰零壹萬參仟壹佰參拾陸

In other modern scripts

Eastern Arabic ١٠١٣١٣٦ Devanagari १०१३१३६ Bengali ১০১৩১৩৬ Tamil ௧௦௧௩௧௩௬ Thai ๑๐๑๓๑๓๖ Tibetan ༡༠༡༣༡༣༦ Khmer ១០១៣១៣៦ Lao ໑໐໑໓໑໓໖ Burmese ၁၀၁၃၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013136, here are decompositions:

73 + 1013063 = 1013136
83 + 1013053 = 1013136
107 + 1013029 = 1013136
127 + 1013009 = 1013136
139 + 1012997 = 1013136
233 + 1012903 = 1013136
307 + 1012829 = 1013136
347 + 1012789 = 1013136

Showing the first eight; more decompositions exist.

Hex color

#0F7590

RGB(15, 117, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.144.

Address: 0.15.117.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3136 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3136-10-01 (MMDYYYY (US, single-digit day))
3136-01-10 (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 1,013,136 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 US1,013,136 on Google Patents ↗ Look up on USPTO ↗