Live analysis

1,007,080

1,007,080 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.).

1,007,080 (one million seven thousand eighty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 17 × 1,481. Its proper divisors sum to 1,393,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DE8.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,007,068 1,007,069 1,007,070 1,007,071 1,007,072 1,007,073 1,007,074 1,007,075 1,007,076 1,007,077 1,007,078 1,007,079 1,007,080 1,007,081 1,007,082 1,007,083 1,007,084 1,007,085 1,007,086 1,007,087 1,007,088 1,007,089 1,007,090 1,007,091 1,007,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 807,001
Square (n²): 1,014,210,126,400
Cube (n³): 1,021,390,734,094,912,000
Divisor count: 32
σ(n) — sum of divisors: 2,400,840
φ(n) — Euler's totient: 378,880
Sum of prime factors: 1,509

Primality

Prime factorization: 2 ³ × 5 × 17 × 1481

Nearest primes: 1,007,059 (−21) · 1,007,081 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 340 · 680 · 1481 · 2962 · 5924 · 7405 · 11848 · 14810 · 25177 · 29620 · 50354 · 59240 · 100708 · 125885 · 201416 · 251770 · 503540 (half) · 1007080

Aliquot sum (sum of proper divisors): 1,393,760

Factor pairs (a × b = 1,007,080)

1 × 1007080

2 × 503540

4 × 251770

5 × 201416

8 × 125885

10 × 100708

17 × 59240

20 × 50354

34 × 29620

40 × 25177

68 × 14810

85 × 11848

136 × 7405

170 × 5924

340 × 2962

680 × 1481

First multiples

1,007,080 · 2,014,160 (double) · 3,021,240 · 4,028,320 · 5,035,400 · 6,042,480 · 7,049,560 · 8,056,640 · 9,063,720 · 10,070,800

Sums & aliquot sequence

As a sum of two squares: 138² + 994² = 346² + 942² = 486² + 878² = 546² + 842²

As consecutive integers: 201,414 + 201,415 + 201,416 + 201,417 + 201,418 62,935 + 62,936 + … + 62,950 59,232 + 59,233 + … + 59,248 12,549 + 12,550 + … + 12,628

Aliquot sequence: 1,007,080 → 1,393,760 → 2,017,312 → 2,356,526 → 1,178,266 → 706,694 → 358,666 → 356,726 → 181,978 → 90,992 → 106,912 → 120,644 → 90,490 → 72,410 → 68,206 → 35,834 → 24,646 — unresolved within range

Continued fraction of √n

√1,007,080 = [1003; (1, 1, 6, 1, 9, 1, 1, 1, 3, 1, 3, 12, 4, 1, 18, 2, 55, 3, 1, 3, 2, 6, 1, 2, …)]

Representations

In words: one million seven thousand eighty
Ordinal: 1007080th
Binary: 11110101110111101000
Octal: 3656750
Hexadecimal: 0xF5DE8
Base64: D13o
One's complement: 4,293,960,215 (32-bit)
Scientific notation: 1.00708 × 10⁶
As a duration: 1,007,080 s = 11 days, 15 hours, 44 minutes, 40 seconds

In other bases

ternary (3) 1220011110021

quaternary (4) 3311313220

quinary (5) 224211310

senary (6) 33330224

septenary (7) 11363044

nonary (9) 1804407

undecimal (11) 6286a8

duodecimal (12) 406974

tridecimal (13) 293509

tetradecimal (14) 1c3024

pentadecimal (15) 14d5da

As an angle

1,007,080° = 2,797 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬七千零八十
Chinese (financial): 壹佰萬柒仟零捌拾

In other modern scripts

Eastern Arabic ١٠٠٧٠٨٠ Devanagari १००७०८० Bengali ১০০৭০৮০ Tamil ௧௦௦௭௦௮௦ Thai ๑๐๐๗๐๘๐ Tibetan ༡༠༠༧༠༨༠ Khmer ១០០៧០៨០ Lao ໑໐໐໗໐໘໐ Burmese ၁၀၀၇၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007080, here are decompositions:

59 + 1007021 = 1007080
89 + 1006991 = 1007080
101 + 1006979 = 1007080
131 + 1006949 = 1007080
197 + 1006883 = 1007080
227 + 1006853 = 1007080
233 + 1006847 = 1007080
281 + 1006799 = 1007080

Showing the first eight; more decompositions exist.

Hex color

#0F5DE8

RGB(15, 93, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.232.

Address: 0.15.93.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.232

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 1,007,080 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 US1,007,080 on Google Patents ↗ Look up on USPTO ↗