Live analysis

1,010,080

1,010,080 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.).

1,010,080 (one million ten thousand eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 59 × 107. Its proper divisors sum to 1,439,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF69A0.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,010,068 1,010,069 1,010,070 1,010,071 1,010,072 1,010,073 1,010,074 1,010,075 1,010,076 1,010,077 1,010,078 1,010,079 1,010,080 1,010,081 1,010,082 1,010,083 1,010,084 1,010,085 1,010,086 1,010,087 1,010,088 1,010,089 1,010,090 1,010,091 1,010,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 800,101
Flips to (rotate 180°): 800,101
Square (n²): 1,020,261,606,400
Cube (n³): 1,030,545,843,392,512,000
Divisor count: 48
σ(n) — sum of divisors: 2,449,440
φ(n) — Euler's totient: 393,472
Sum of prime factors: 181

Primality

Prime factorization: 2 ⁵ × 5 × 59 × 107

Nearest primes: 1,010,069 (−11) · 1,010,081 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 59 · 80 · 107 · 118 · 160 · 214 · 236 · 295 · 428 · 472 · 535 · 590 · 856 · 944 · 1070 · 1180 · 1712 · 1888 · 2140 · 2360 · 3424 · 4280 · 4720 · 6313 · 8560 · 9440 · 12626 · 17120 · 25252 · 31565 · 50504 · 63130 · 101008 · 126260 · 202016 · 252520 · 505040 (half) · 1010080

Aliquot sum (sum of proper divisors): 1,439,360

Factor pairs (a × b = 1,010,080)

1 × 1010080

2 × 505040

4 × 252520

5 × 202016

8 × 126260

10 × 101008

16 × 63130

20 × 50504

32 × 31565

40 × 25252

59 × 17120

80 × 12626

107 × 9440

118 × 8560

160 × 6313

214 × 4720

236 × 4280

295 × 3424

428 × 2360

472 × 2140

535 × 1888

590 × 1712

856 × 1180

944 × 1070

First multiples

1,010,080 · 2,020,160 (double) · 3,030,240 · 4,040,320 · 5,050,400 · 6,060,480 · 7,070,560 · 8,080,640 · 9,090,720 · 10,100,800

Sums & aliquot sequence

As consecutive integers: 202,014 + 202,015 + 202,016 + 202,017 + 202,018 17,091 + 17,092 + … + 17,149 15,751 + 15,752 + … + 15,814 9,387 + 9,388 + … + 9,493

Aliquot sequence: 1,010,080 → 1,439,360 → 2,287,720 → 2,859,740 → 3,998,692 → 3,016,988 → 2,701,396 → 2,231,756 → 1,727,836 → 1,610,660 → 1,889,620 → 2,120,204 → 1,590,160 → 2,784,560 → 3,689,728 → 5,140,352 → 6,565,168 — unresolved within range

Continued fraction of √n

√1,010,080 = [1005; (36, 1, 1, 4, 1, 15, 1, 3, 1, 5, 2, 6, 2, 48, 1, 1, 3, 1, 1, 3, 1, 222, 1, 1, …)]

Representations

In words: one million ten thousand eighty
Ordinal: 1010080th
Binary: 11110110100110100000
Octal: 3664640
Hexadecimal: 0xF69A0
Base64: D2mg
One's complement: 4,293,957,215 (32-bit)
Scientific notation: 1.01008 × 10⁶
As a duration: 1,010,080 s = 11 days, 16 hours, 34 minutes, 40 seconds

In other bases

ternary (3) 1220022120101

quaternary (4) 3312212200

quinary (5) 224310310

senary (6) 33352144

septenary (7) 11404561

nonary (9) 1808511

undecimal (11) 62a985

duodecimal (12) 408654

tridecimal (13) 2949a6

tetradecimal (14) 1c4168

pentadecimal (15) 14e43a

As an angle

1,010,080° = 2,805 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬零八十
Chinese (financial): 壹佰零壹萬零捌拾

In other modern scripts

Eastern Arabic ١٠١٠٠٨٠ Devanagari १०१००८० Bengali ১০১০০৮০ Tamil ௧௦௧௦௦௮௦ Thai ๑๐๑๐๐๘๐ Tibetan ༡༠༡༠༠༨༠ Khmer ១០១០០៨០ Lao ໑໐໑໐໐໘໐ Burmese ၁၀၁၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010080, here are decompositions:

11 + 1010069 = 1010080
47 + 1010033 = 1010080
83 + 1009997 = 1010080
89 + 1009991 = 1010080
179 + 1009901 = 1010080
293 + 1009787 = 1010080
353 + 1009727 = 1010080
431 + 1009649 = 1010080

Showing the first eight; more decompositions exist.

Hex color

#0F69A0

RGB(15, 105, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.160.

Address: 0.15.105.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 0080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0080-10-01 (MMDYYYY (US, single-digit day))
0080-01-10 (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 1,010,080 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 US1,010,080 on Google Patents ↗ Look up on USPTO ↗