Live analysis

1,006,240

1,006,240 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.).

1,006,240 (one million six thousand two hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 19 × 331. Its proper divisors sum to 1,503,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,228 1,006,229 1,006,230 1,006,231 1,006,232 1,006,233 1,006,234 1,006,235 1,006,236 1,006,237 1,006,238 1,006,239 1,006,240 1,006,241 1,006,242 1,006,243 1,006,244 1,006,245 1,006,246 1,006,247 1,006,248 1,006,249 1,006,250 1,006,251 1,006,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 426,001
Square (n²): 1,012,518,937,600
Cube (n³): 1,018,837,055,770,624,000
Divisor count: 48
σ(n) — sum of divisors: 2,509,920
φ(n) — Euler's totient: 380,160
Sum of prime factors: 365

Primality

Prime factorization: 2 ⁵ × 5 × 19 × 331

Nearest primes: 1,006,237 (−3) · 1,006,241 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 32 · 38 · 40 · 76 · 80 · 95 · 152 · 160 · 190 · 304 · 331 · 380 · 608 · 662 · 760 · 1324 · 1520 · 1655 · 2648 · 3040 · 3310 · 5296 · 6289 · 6620 · 10592 · 12578 · 13240 · 25156 · 26480 · 31445 · 50312 · 52960 · 62890 · 100624 · 125780 · 201248 · 251560 · 503120 (half) · 1006240

Aliquot sum (sum of proper divisors): 1,503,680

Factor pairs (a × b = 1,006,240)

1 × 1006240

2 × 503120

4 × 251560

5 × 201248

8 × 125780

10 × 100624

16 × 62890

19 × 52960

20 × 50312

32 × 31445

38 × 26480

40 × 25156

76 × 13240

80 × 12578

95 × 10592

152 × 6620

160 × 6289

190 × 5296

304 × 3310

331 × 3040

380 × 2648

608 × 1655

662 × 1520

760 × 1324

First multiples

1,006,240 · 2,012,480 (double) · 3,018,720 · 4,024,960 · 5,031,200 · 6,037,440 · 7,043,680 · 8,049,920 · 9,056,160 · 10,062,400

Sums & aliquot sequence

As consecutive integers: 201,246 + 201,247 + 201,248 + 201,249 + 201,250 52,951 + 52,952 + … + 52,969 15,691 + 15,692 + … + 15,754 10,545 + 10,546 + … + 10,639

Aliquot sequence: 1,006,240 → 1,503,680 → 2,202,688 → 2,218,944 → 5,063,744 → 6,640,576 → 7,664,704 → 8,721,344 → 9,810,496 → 11,257,280 → 15,857,728 → 15,873,984 → 38,225,984 → 38,242,240 → 53,636,672 → 53,652,928 → 77,435,456 — unresolved within range

Continued fraction of √n

√1,006,240 = [1003; (8, 1, 2, 5, 1, 9, 2, 1, 1, 5, 1, 1, 133, 4, 1, 4, 2, 2, 3, 2, 1, 11, 1, 3, …)]

Representations

In words: one million six thousand two hundred forty
Ordinal: 1006240th
Binary: 11110101101010100000
Octal: 3655240
Hexadecimal: 0xF5AA0
Base64: D1qg
One's complement: 4,293,961,055 (32-bit)
Scientific notation: 1.00624 × 10⁶
As a duration: 1,006,240 s = 11 days, 15 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1220010022011

quaternary (4) 3311222200

quinary (5) 224144430

senary (6) 33322304

septenary (7) 11360434

nonary (9) 1803264

undecimal (11) 628004

duodecimal (12) 406394

tridecimal (13) 293011

tetradecimal (14) 1c29c4

pentadecimal (15) 14d22a

As an angle

1,006,240° = 2,795 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬六千二百四十
Chinese (financial): 壹佰萬陸仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٦٢٤٠ Devanagari १००६२४० Bengali ১০০৬২৪০ Tamil ௧௦௦௬௨௪௦ Thai ๑๐๐๖๒๔๐ Tibetan ༡༠༠༦༢༤༠ Khmer ១០០៦២៤០ Lao ໑໐໐໖໒໔໐ Burmese ၁၀၀၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006240, here are decompositions:

3 + 1006237 = 1006240
23 + 1006217 = 1006240
47 + 1006193 = 1006240
71 + 1006169 = 1006240
89 + 1006151 = 1006240
107 + 1006133 = 1006240
149 + 1006091 = 1006240
233 + 1006007 = 1006240

Showing the first eight; more decompositions exist.

Hex color

#0F5AA0

RGB(15, 90, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.160.

Address: 0.15.90.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.160

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 1,006,240 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 US1,006,240 on Google Patents ↗ Look up on USPTO ↗