Live analysis

1,013,168

1,013,168 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.).

1,013,168 (one million thirteen thousand one hundred sixty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 4,871. Its proper divisors sum to 1,101,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF75B0.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,013,156 1,013,157 1,013,158 1,013,159 1,013,160 1,013,161 1,013,162 1,013,163 1,013,164 1,013,165 1,013,166 1,013,167 1,013,168 1,013,169 1,013,170 1,013,171 1,013,172 1,013,173 1,013,174 1,013,175 1,013,176 1,013,177 1,013,178 1,013,179 1,013,180

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,613,101
Square (n²): 1,026,509,396,224
Cube (n³): 1,040,026,471,953,477,632
Divisor count: 20
σ(n) — sum of divisors: 2,114,448
φ(n) — Euler's totient: 467,520
Sum of prime factors: 4,892

Primality

Prime factorization: 2 ⁴ × 13 × 4871

Nearest primes: 1,013,153 (−15) · 1,013,197 (+29)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 4871 · 9742 · 19484 · 38968 · 63323 · 77936 · 126646 · 253292 · 506584 (half) · 1013168

Aliquot sum (sum of proper divisors): 1,101,280

Factor pairs (a × b = 1,013,168)

1 × 1013168

2 × 506584

4 × 253292

8 × 126646

13 × 77936

16 × 63323

26 × 38968

52 × 19484

104 × 9742

208 × 4871

First multiples

1,013,168 · 2,026,336 (double) · 3,039,504 · 4,052,672 · 5,065,840 · 6,079,008 · 7,092,176 · 8,105,344 · 9,118,512 · 10,131,680

Sums & aliquot sequence

As consecutive integers: 77,930 + 77,931 + … + 77,942 31,646 + 31,647 + … + 31,677 2,228 + 2,229 + … + 2,643

Aliquot sequence: 1,013,168 → 1,101,280 → 1,500,872 → 1,379,368 → 1,206,962 → 626,638 → 320,594 → 163,834 → 106,688 → 105,148 → 81,444 → 126,204 → 191,316 → 262,284 → 405,684 → 642,636 → 981,896 — unresolved within range

Continued fraction of √n

√1,013,168 = [1006; (1, 1, 3, 1, 1, 117, 1, 5, 1, 37, 1, 5, 1, 117, 1, 1, 3, 1, 1, 2012)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand one hundred sixty-eight
Ordinal: 1013168th
Binary: 11110111010110110000
Octal: 3672660
Hexadecimal: 0xF75B0
Base64: D3Ww
One's complement: 4,293,954,127 (32-bit)
Scientific notation: 1.013168 × 10⁶
As a duration: 1,013,168 s = 11 days, 17 hours, 26 minutes, 8 seconds

In other bases

ternary (3) 1220110210202

quaternary (4) 3313112300

quinary (5) 224410133

senary (6) 33414332

septenary (7) 11416562

nonary (9) 1813722

undecimal (11) 632232

duodecimal (12) 40a3a8

tridecimal (13) 296210

tetradecimal (14) 1c5332

pentadecimal (15) 1502e8

As an angle

1,013,168° = 2,814 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百六十八
Chinese (financial): 壹佰零壹萬參仟壹佰陸拾捌

In other modern scripts

Eastern Arabic ١٠١٣١٦٨ Devanagari १०१३१६८ Bengali ১০১৩১৬৮ Tamil ௧௦௧௩௧௬௮ Thai ๑๐๑๓๑๖๘ Tibetan ༡༠༡༣༡༦༨ Khmer ១០១៣១៦៨ Lao ໑໐໑໓໑໖໘ Burmese ၁၀၁၃၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013168, here are decompositions:

127 + 1013041 = 1013168
139 + 1013029 = 1013168
307 + 1012861 = 1013168
337 + 1012831 = 1013168
379 + 1012789 = 1013168
397 + 1012771 = 1013168
571 + 1012597 = 1013168
577 + 1012591 = 1013168

Showing the first eight; more decompositions exist.

Hex color

#0F75B0

RGB(15, 117, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.176.

Address: 0.15.117.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3168 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3168-10-01 (MMDYYYY (US, single-digit day))
3168-01-10 (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 1,013,168 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 US1,013,168 on Google Patents ↗ Look up on USPTO ↗