Live analysis

1,006,060

1,006,060 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.).

1,006,060 (one million six thousand sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 17 × 269. Its proper divisors sum to 1,443,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59EC.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,006,048 1,006,049 1,006,050 1,006,051 1,006,052 1,006,053 1,006,054 1,006,055 1,006,056 1,006,057 1,006,058 1,006,059 1,006,060 1,006,061 1,006,062 1,006,063 1,006,064 1,006,065 1,006,066 1,006,067 1,006,068 1,006,069 1,006,070 1,006,071 1,006,072

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 606,001
Flips to (rotate 180°): 909,001
Square (n²): 1,012,156,723,600
Cube (n³): 1,018,290,393,345,016,000
Divisor count: 48
σ(n) — sum of divisors: 2,449,440
φ(n) — Euler's totient: 343,040
Sum of prime factors: 306

Primality

Prime factorization: 2 ² × 5 × 11 × 17 × 269

Nearest primes: 1,006,037 (−23) · 1,006,063 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 11 · 17 · 20 · 22 · 34 · 44 · 55 · 68 · 85 · 110 · 170 · 187 · 220 · 269 · 340 · 374 · 538 · 748 · 935 · 1076 · 1345 · 1870 · 2690 · 2959 · 3740 · 4573 · 5380 · 5918 · 9146 · 11836 · 14795 · 18292 · 22865 · 29590 · 45730 · 50303 · 59180 · 91460 · 100606 · 201212 · 251515 · 503030 (half) · 1006060

Aliquot sum (sum of proper divisors): 1,443,380

Factor pairs (a × b = 1,006,060)

1 × 1006060

2 × 503030

4 × 251515

5 × 201212

10 × 100606

11 × 91460

17 × 59180

20 × 50303

22 × 45730

34 × 29590

44 × 22865

55 × 18292

68 × 14795

85 × 11836

110 × 9146

170 × 5918

187 × 5380

220 × 4573

269 × 3740

340 × 2959

374 × 2690

538 × 1870

748 × 1345

935 × 1076

First multiples

1,006,060 · 2,012,120 (double) · 3,018,180 · 4,024,240 · 5,030,300 · 6,036,360 · 7,042,420 · 8,048,480 · 9,054,540 · 10,060,600

Sums & aliquot sequence

As consecutive integers: 201,210 + 201,211 + 201,212 + 201,213 + 201,214 125,754 + 125,755 + … + 125,761 91,455 + 91,456 + … + 91,465 59,172 + 59,173 + … + 59,188

Aliquot sequence: 1,006,060 → 1,443,380 → 1,587,760 → 2,162,000 → 3,409,072 → 3,196,036 → 2,423,676 → 3,231,596 → 2,794,564 → 2,095,930 → 1,898,990 → 1,584,658 → 915,182 → 553,618 → 353,582 → 176,794 → 88,400 — unresolved within range

Continued fraction of √n

√1,006,060 = [1003; (39, 2, 1, 222, 4, 2, 3, 1, 12, 1, 1, 24, 4, 22, 3, 2, 2, 1, 1, 1, 1, 2, 7, 4, …)]

Representations

In words: one million six thousand sixty
Ordinal: 1006060th
Binary: 11110101100111101100
Octal: 3654754
Hexadecimal: 0xF59EC
Base64: D1ns
One's complement: 4,293,961,235 (32-bit)
Scientific notation: 1.00606 × 10⁶
As a duration: 1,006,060 s = 11 days, 15 hours, 27 minutes, 40 seconds

In other bases

ternary (3) 1220010001111

quaternary (4) 3311213230

quinary (5) 224143220

senary (6) 33321404

septenary (7) 11360056

nonary (9) 1803044

undecimal (11) 627960

duodecimal (12) 406264

tridecimal (13) 292c03

tetradecimal (14) 1c28d6

pentadecimal (15) 14d15a

As an angle

1,006,060° = 2,794 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬六千零六十
Chinese (financial): 壹佰萬陸仟零陸拾

In other modern scripts

Eastern Arabic ١٠٠٦٠٦٠ Devanagari १००६०६० Bengali ১০০৬০৬০ Tamil ௧௦௦௬௦௬௦ Thai ๑๐๐๖๐๖๐ Tibetan ༡༠༠༦༠༦༠ Khmer ១០០៦០៦០ Lao ໑໐໐໖໐໖໐ Burmese ၁၀၀၆၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006060, here are decompositions:

23 + 1006037 = 1006060
53 + 1006007 = 1006060
71 + 1005989 = 1006060
89 + 1005971 = 1006060
101 + 1005959 = 1006060
149 + 1005911 = 1006060
227 + 1005833 = 1006060
233 + 1005827 = 1006060

Showing the first eight; more decompositions exist.

Hex color

#0F59EC

RGB(15, 89, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.236.

Address: 0.15.89.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.236

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 1,006,060 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 US1,006,060 on Google Patents ↗ Look up on USPTO ↗