Live analysis

1,016,100

1,016,100 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.).

1,016,100 (one million sixteen thousand one hundred) is an even 7-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5² × 1,129. Its proper divisors sum to 2,171,630, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8124.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,016,088 1,016,089 1,016,090 1,016,091 1,016,092 1,016,093 1,016,094 1,016,095 1,016,096 1,016,097 1,016,098 1,016,099 1,016,100 1,016,101 1,016,102 1,016,103 1,016,104 1,016,105 1,016,106 1,016,107 1,016,108 1,016,109 1,016,110 1,016,111 1,016,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 16,101
Flips to (rotate 180°): 19,101
Recamán's sequence: a(365,791) = 1,016,100
Square (n²): 1,032,459,210,000
Cube (n³): 1,049,081,803,281,000,000
Divisor count: 54
σ(n) — sum of divisors: 3,187,730
φ(n) — Euler's totient: 270,720
Sum of prime factors: 1,149

Primality

Prime factorization: 2 ² × 3 ² × 5 ² × 1129

Nearest primes: 1,016,089 (−11) · 1,016,111 (+11)

Divisors & multiples

All divisors (54)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 150 · 180 · 225 · 300 · 450 · 900 · 1129 · 2258 · 3387 · 4516 · 5645 · 6774 · 10161 · 11290 · 13548 · 16935 · 20322 · 22580 · 28225 · 33870 · 40644 · 50805 · 56450 · 67740 · 84675 · 101610 · 112900 · 169350 · 203220 · 254025 · 338700 · 508050 (half) · 1016100

Aliquot sum (sum of proper divisors): 2,171,630

Factor pairs (a × b = 1,016,100)

1 × 1016100

2 × 508050

3 × 338700

4 × 254025

5 × 203220

6 × 169350

9 × 112900

10 × 101610

12 × 84675

15 × 67740

18 × 56450

20 × 50805

25 × 40644

30 × 33870

36 × 28225

45 × 22580

50 × 20322

60 × 16935

75 × 13548

90 × 11290

100 × 10161

150 × 6774

180 × 5645

225 × 4516

300 × 3387

450 × 2258

900 × 1129

First multiples

1,016,100 · 2,032,200 (double) · 3,048,300 · 4,064,400 · 5,080,500 · 6,096,600 · 7,112,700 · 8,128,800 · 9,144,900 · 10,161,000

Sums & aliquot sequence

As a sum of two squares: 6² + 1,008² = 288² + 966² = 600² + 810²

As consecutive integers: 338,699 + 338,700 + 338,701 203,218 + 203,219 + 203,220 + 203,221 + 203,222 127,009 + 127,010 + … + 127,016 112,896 + 112,897 + … + 112,904

Aliquot sequence: 1,016,100 → 2,171,630 → 1,737,322 → 1,034,678 → 610,378 → 314,390 → 258,010 → 206,426 → 134,320 → 196,016 → 183,796 → 137,854 → 68,930 → 58,294 → 29,150 → 31,114 → 16,694 — unresolved within range

Continued fraction of √n

√1,016,100 = [1008; (56, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand one hundred
Ordinal: 1016100th
Binary: 11111000000100100100
Octal: 3700444
Hexadecimal: 0xF8124
Base64: D4Ek
One's complement: 4,293,951,195 (32-bit)
Scientific notation: 1.0161 × 10⁶
As a duration: 1,016,100 s = 11 days, 18 hours, 15 minutes

In other bases

ternary (3) 1220121211100

quaternary (4) 3320010210

quinary (5) 230003400

senary (6) 33440100

septenary (7) 11431251

nonary (9) 1817740

undecimal (11) 634458

duodecimal (12) 410030

tridecimal (13) 297657

tetradecimal (14) 1c6428

pentadecimal (15) 151100

As an angle

1,016,100° = 2,822 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Chinese: 一百零一萬六千一百
Chinese (financial): 壹佰零壹萬陸仟壹佰

In other modern scripts

Eastern Arabic ١٠١٦١٠٠ Devanagari १०१६१०० Bengali ১০১৬১০০ Tamil ௧௦௧௬௧௦௦ Thai ๑๐๑๖๑๐๐ Tibetan ༡༠༡༦༡༠༠ Khmer ១០១៦១០០ Lao ໑໐໑໖໑໐໐ Burmese ၁၀၁၆၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016100, here are decompositions:

11 + 1016089 = 1016100
17 + 1016083 = 1016100
31 + 1016069 = 1016100
47 + 1016053 = 1016100
67 + 1016033 = 1016100
73 + 1016027 = 1016100
89 + 1016011 = 1016100
109 + 1015991 = 1016100

Showing the first eight; more decompositions exist.

Hex color

#0F8124

RGB(15, 129, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.36.

Address: 0.15.129.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.36

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 6100 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6100-10-01 (MMDYYYY (US, single-digit day))
6100-01-10 (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 1,016,100 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 US1,016,100 on Google Patents ↗ Look up on USPTO ↗