Live analysis

1,016,000

1,016,000 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.).

1,016,000 (one million sixteen thousand) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5³ × 127. Its proper divisors sum to 1,519,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80C0.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,015,988 1,015,989 1,015,990 1,015,991 1,015,992 1,015,993 1,015,994 1,015,995 1,015,996 1,015,997 1,015,998 1,015,999 1,016,000 1,016,001 1,016,002 1,016,003 1,016,004 1,016,005 1,016,006 1,016,007 1,016,008 1,016,009 1,016,010 1,016,011 1,016,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 6,101
Flips to (rotate 180°): 9,101
Recamán's sequence: a(365,991) = 1,016,000
Square (n²): 1,032,256,000,000
Cube (n³): 1,048,772,096,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 2,535,936
φ(n) — Euler's totient: 403,200
Sum of prime factors: 154

Primality

Prime factorization: 2 ⁶ × 5 ³ × 127

Nearest primes: 1,015,991 (−9) · 1,016,009 (+9)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 125 · 127 · 160 · 200 · 250 · 254 · 320 · 400 · 500 · 508 · 635 · 800 · 1000 · 1016 · 1270 · 1600 · 2000 · 2032 · 2540 · 3175 · 4000 · 4064 · 5080 · 6350 · 8000 · 8128 · 10160 · 12700 · 15875 · 20320 · 25400 · 31750 · 40640 · 50800 · 63500 · 101600 · 127000 · 203200 · 254000 · 508000 (half) · 1016000

Aliquot sum (sum of proper divisors): 1,519,936

Factor pairs (a × b = 1,016,000)

1 × 1016000

2 × 508000

4 × 254000

5 × 203200

8 × 127000

10 × 101600

16 × 63500

20 × 50800

25 × 40640

32 × 31750

40 × 25400

50 × 20320

64 × 15875

80 × 12700

100 × 10160

125 × 8128

127 × 8000

160 × 6350

200 × 5080

250 × 4064

254 × 4000

320 × 3175

400 × 2540

500 × 2032

508 × 2000

635 × 1600

800 × 1270

1000 × 1016

First multiples

1,016,000 · 2,032,000 (double) · 3,048,000 · 4,064,000 · 5,080,000 · 6,096,000 · 7,112,000 · 8,128,000 · 9,144,000 · 10,160,000

Sums & aliquot sequence

As consecutive integers: 203,198 + 203,199 + 203,200 + 203,201 + 203,202 40,628 + 40,629 + … + 40,652 8,066 + 8,067 + … + 8,190 7,937 + 7,938 + … + 8,063

Aliquot sequence: 1,016,000 → 1,519,936 → 1,991,360 → 3,568,192 → 3,584,448 → 8,461,248 → 14,167,104 → 29,529,024 → 60,984,384 → 108,338,112 → 204,849,984 → 361,118,912 → 540,894,016 → 624,336,064 → 738,046,784 → 738,063,040 → 1,343,093,072 — unresolved within range

Continued fraction of √n

√1,016,000 = [1007; (1, 30, 2, 503, 2, 30, 1, 2014)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand
Ordinal: 1016000th
Binary: 11111000000011000000
Octal: 3700300
Hexadecimal: 0xF80C0
Base64: D4DA
One's complement: 4,293,951,295 (32-bit)
Scientific notation: 1.016 × 10⁶
As a duration: 1,016,000 s = 11 days, 18 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 1220121200122

quaternary (4) 3320003000

quinary (5) 230003000

senary (6) 33435412

septenary (7) 11431046

nonary (9) 1817618

undecimal (11) 634377

duodecimal (12) 40bb68

tridecimal (13) 2975ab

tetradecimal (14) 1c6396

pentadecimal (15) 151085

As an angle

1,016,000° = 2,822 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零一萬六千
Chinese (financial): 壹佰零壹萬陸仟

In other modern scripts

Eastern Arabic ١٠١٦٠٠٠ Devanagari १०१६००० Bengali ১০১৬০০০ Tamil ௧௦௧௬௦௦௦ Thai ๑๐๑๖๐๐๐ Tibetan ༡༠༡༦༠༠༠ Khmer ១០១៦០០០ Lao ໑໐໑໖໐໐໐ Burmese ၁၀၁၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016000, here are decompositions:

19 + 1015981 = 1016000
103 + 1015897 = 1016000
109 + 1015891 = 1016000
157 + 1015843 = 1016000
277 + 1015723 = 1016000
373 + 1015627 = 1016000
397 + 1015603 = 1016000
439 + 1015561 = 1016000

Showing the first eight; more decompositions exist.

Hex color

#0F80C0

RGB(15, 128, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.192.

Address: 0.15.128.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 6000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6000-10-01 (MMDYYYY (US, single-digit day))
6000-01-10 (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 1,016,000 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 US1,016,000 on Google Patents ↗ Look up on USPTO ↗