Live analysis

1,006,768

1,006,768 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.).

1,006,768 (one million six thousand seven hundred sixty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 89 × 101. Its proper divisors sum to 1,269,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5CB0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,756 1,006,757 1,006,758 1,006,759 1,006,760 1,006,761 1,006,762 1,006,763 1,006,764 1,006,765 1,006,766 1,006,767 1,006,768 1,006,769 1,006,770 1,006,771 1,006,772 1,006,773 1,006,774 1,006,775 1,006,776 1,006,777 1,006,778 1,006,779 1,006,780

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,676,001
Square (n²): 1,013,581,805,824
Cube (n³): 1,020,441,727,485,816,832
Divisor count: 40
σ(n) — sum of divisors: 2,276,640
φ(n) — Euler's totient: 422,400
Sum of prime factors: 205

Primality

Prime factorization: 2 ⁴ × 7 × 89 × 101

Nearest primes: 1,006,751 (−17) · 1,006,769 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 89 · 101 · 112 · 178 · 202 · 356 · 404 · 623 · 707 · 712 · 808 · 1246 · 1414 · 1424 · 1616 · 2492 · 2828 · 4984 · 5656 · 8989 · 9968 · 11312 · 17978 · 35956 · 62923 · 71912 · 125846 · 143824 · 251692 · 503384 (half) · 1006768

Aliquot sum (sum of proper divisors): 1,269,872

Factor pairs (a × b = 1,006,768)

1 × 1006768

2 × 503384

4 × 251692

7 × 143824

8 × 125846

14 × 71912

16 × 62923

28 × 35956

56 × 17978

89 × 11312

101 × 9968

112 × 8989

178 × 5656

202 × 4984

356 × 2828

404 × 2492

623 × 1616

707 × 1424

712 × 1414

808 × 1246

First multiples

1,006,768 · 2,013,536 (double) · 3,020,304 · 4,027,072 · 5,033,840 · 6,040,608 · 7,047,376 · 8,054,144 · 9,060,912 · 10,067,680

Sums & aliquot sequence

As consecutive integers: 143,821 + 143,822 + … + 143,827 31,446 + 31,447 + … + 31,477 11,268 + 11,269 + … + 11,356 9,918 + 9,919 + … + 10,018

Aliquot sequence: 1,006,768 → 1,269,872 → 1,190,536 → 1,041,734 → 520,870 → 570,794 → 407,734 → 207,146 → 103,576 → 111,884 → 86,860 → 101,636 → 76,234 → 40,694 → 20,350 → 22,058 → 11,962 — unresolved within range

Continued fraction of √n

√1,006,768 = [1003; (2, 1, 1, 1, 4, 8, 2, 1, 1, 10, 1, 2, 1, 7, 3, 5, 1, 1, 1, 7, 2, 2, 3, 5, …)]

Representations

In words: one million six thousand seven hundred sixty-eight
Ordinal: 1006768th
Binary: 11110101110010110000
Octal: 3656260
Hexadecimal: 0xF5CB0
Base64: D1yw
One's complement: 4,293,960,527 (32-bit)
Scientific notation: 1.006768 × 10⁶
As a duration: 1,006,768 s = 11 days, 15 hours, 39 minutes, 28 seconds

In other bases

ternary (3) 1220011000201

quaternary (4) 3311302300

quinary (5) 224204033

senary (6) 33324544

septenary (7) 11362120

nonary (9) 1804021

undecimal (11) 628444

duodecimal (12) 406754

tridecimal (13) 293329

tetradecimal (14) 1c2c80

pentadecimal (15) 14d47d

As an angle

1,006,768° = 2,796 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千七百六十八
Chinese (financial): 壹佰萬陸仟柒佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٧٦٨ Devanagari १००६७६८ Bengali ১০০৬৭৬৮ Tamil ௧௦௦௬௭௬௮ Thai ๑๐๐๖๗๖๘ Tibetan ༡༠༠༦༧༦༨ Khmer ១០០៦៧៦៨ Lao ໑໐໐໖໗໖໘ Burmese ၁၀၀၆၇၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006768, here are decompositions:

17 + 1006751 = 1006768
29 + 1006739 = 1006768
47 + 1006721 = 1006768
131 + 1006637 = 1006768
179 + 1006589 = 1006768
401 + 1006367 = 1006768
431 + 1006337 = 1006768
461 + 1006307 = 1006768

Showing the first eight; more decompositions exist.

Hex color

#0F5CB0

RGB(15, 92, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.176.

Address: 0.15.92.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.176

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 1,006,768 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 US1,006,768 on Google Patents ↗ Look up on USPTO ↗