Live analysis

1,040,080

1,040,080 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.).

1,040,080 (one million forty thousand eighty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 13,001. Its proper divisors sum to 1,378,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDED0.

Abundant Number Gapful Number Odious Number Pernicious Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,040,068 1,040,069 1,040,070 1,040,071 1,040,072 1,040,073 1,040,074 1,040,075 1,040,076 1,040,077 1,040,078 1,040,079 1,040,080 1,040,081 1,040,082 1,040,083 1,040,084 1,040,085 1,040,086 1,040,087 1,040,088 1,040,089 1,040,090 1,040,091 1,040,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 800,401
Square (n²): 1,081,766,406,400
Cube (n³): 1,125,123,603,968,512,000
Divisor count: 20
σ(n) — sum of divisors: 2,418,372
φ(n) — Euler's totient: 416,000
Sum of prime factors: 13,014

Primality

Prime factorization: 2 ⁴ × 5 × 13001

Nearest primes: 1,040,071 (−9) · 1,040,089 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 13001 · 26002 · 52004 · 65005 · 104008 · 130010 · 208016 · 260020 · 520040 (half) · 1040080

Aliquot sum (sum of proper divisors): 1,378,292

Factor pairs (a × b = 1,040,080)

1 × 1040080

2 × 520040

4 × 260020

5 × 208016

8 × 130010

10 × 104008

16 × 65005

20 × 52004

40 × 26002

80 × 13001

First multiples

1,040,080 · 2,080,160 (double) · 3,120,240 · 4,160,320 · 5,200,400 · 6,240,480 · 7,280,560 · 8,320,640 · 9,360,720 · 10,400,800

Sums & aliquot sequence

As a sum of two squares: 268² + 984² = 376² + 948²

As consecutive integers: 208,014 + 208,015 + 208,016 + 208,017 + 208,018 32,487 + 32,488 + … + 32,518 6,421 + 6,422 + … + 6,580

Aliquot sequence: 1,040,080 → 1,378,292 → 1,175,728 → 1,102,276 → 1,102,332 → 2,107,140 → 4,908,540 → 13,154,820 → 28,941,948 → 59,118,948 → 111,669,852 → 190,212,260 → 267,223,516 → 288,869,924 → 289,648,156 → 290,082,884 → 334,711,804 — unresolved within range

Continued fraction of √n

√1,040,080 = [1019; (1, 5, 2, 1, 2, 31, 2, 101, 2, 31, 2, 1, 2, 5, 1, 2038)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand eighty
Ordinal: 1040080th
Binary: 11111101111011010000
Octal: 3757320
Hexadecimal: 0xFDED0
Base64: D97Q
One's complement: 4,293,927,215 (32-bit)
Scientific notation: 1.04008 × 10⁶
As a duration: 1,040,080 s = 12 days, 54 minutes, 40 seconds

In other bases

ternary (3) 1221211201111

quaternary (4) 3331323100

quinary (5) 231240310

senary (6) 34143104

septenary (7) 11561206

nonary (9) 1854644

undecimal (11) 650478

duodecimal (12) 421a94

tridecimal (13) 2a5542

tetradecimal (14) 1d1076

pentadecimal (15) 15828a

As an angle

1,040,080° = 2,889 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零四萬零八十
Chinese (financial): 壹佰零肆萬零捌拾

In other modern scripts

Eastern Arabic ١٠٤٠٠٨٠ Devanagari १०४००८० Bengali ১০৪০০৮০ Tamil ௧௦௪௦௦௮௦ Thai ๑๐๔๐๐๘๐ Tibetan ༡༠༤༠༠༨༠ Khmer ១០៤០០៨០ Lao ໑໐໔໐໐໘໐ Burmese ၁၀၄၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040080, here are decompositions:

11 + 1040069 = 1040080
23 + 1040057 = 1040080
29 + 1040051 = 1040080
59 + 1040021 = 1040080
101 + 1039979 = 1040080
131 + 1039949 = 1040080
137 + 1039943 = 1040080
149 + 1039931 = 1040080

Showing the first eight; more decompositions exist.

Hex color

#0FDED0

RGB(15, 222, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.208.

Address: 0.15.222.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 0080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0080-04-01 (DMMYYYY (Euro, single-digit day))
0080-10-04 (MMDYYYY (US, single-digit day))
0080-04-10 (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 1,040,080 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,040,080 on Google Patents ↗ Look up on USPTO ↗