Live analysis

1,012,080

1,012,080 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.).

1,012,080 (one million twelve thousand eighty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,217. Its proper divisors sum to 2,126,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7170.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,012,068 1,012,069 1,012,070 1,012,071 1,012,072 1,012,073 1,012,074 1,012,075 1,012,076 1,012,077 1,012,078 1,012,079 1,012,080 1,012,081 1,012,082 1,012,083 1,012,084 1,012,085 1,012,086 1,012,087 1,012,088 1,012,089 1,012,090 1,012,091 1,012,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 802,101
Square (n²): 1,024,305,926,400
Cube (n³): 1,036,679,541,990,912,000
Divisor count: 40
σ(n) — sum of divisors: 3,138,192
φ(n) — Euler's totient: 269,824
Sum of prime factors: 4,233

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 4217

Nearest primes: 1,012,079 (−1) · 1,012,087 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4217 · 8434 · 12651 · 16868 · 21085 · 25302 · 33736 · 42170 · 50604 · 63255 · 67472 · 84340 · 101208 · 126510 · 168680 · 202416 · 253020 · 337360 · 506040 (half) · 1012080

Aliquot sum (sum of proper divisors): 2,126,112

Factor pairs (a × b = 1,012,080)

1 × 1012080

2 × 506040

3 × 337360

4 × 253020

5 × 202416

6 × 168680

8 × 126510

10 × 101208

12 × 84340

15 × 67472

16 × 63255

20 × 50604

24 × 42170

30 × 33736

40 × 25302

48 × 21085

60 × 16868

80 × 12651

120 × 8434

240 × 4217

First multiples

1,012,080 · 2,024,160 (double) · 3,036,240 · 4,048,320 · 5,060,400 · 6,072,480 · 7,084,560 · 8,096,640 · 9,108,720 · 10,120,800

Sums & aliquot sequence

As consecutive integers: 337,359 + 337,360 + 337,361 202,414 + 202,415 + 202,416 + 202,417 + 202,418 67,465 + 67,466 + … + 67,479 31,612 + 31,613 + … + 31,643

Aliquot sequence: 1,012,080 → 2,126,112 → 3,455,184 → 5,470,832 → 5,128,936 → 5,253,464 → 4,596,796 → 3,599,756 → 2,699,824 → 2,924,816 → 3,075,916 → 2,306,944 → 2,374,856 → 2,482,984 → 2,902,616 → 2,576,824 → 2,440,136 — unresolved within range

Continued fraction of √n

√1,012,080 = [1006; (45, 1, 2, 1, 2, 16, 3, 1, 3, 1, 1, 13, 3, 6, 1, 1, 1, 3, 20, 1, 9, 1, 1, 2, …)]

Representations

In words: one million twelve thousand eighty
Ordinal: 1012080th
Binary: 11110111000101110000
Octal: 3670560
Hexadecimal: 0xF7170
Base64: D3Fw
One's complement: 4,293,955,215 (32-bit)
Scientific notation: 1.01208 × 10⁶
As a duration: 1,012,080 s = 11 days, 17 hours, 8 minutes

In other bases

ternary (3) 1220102022110

quaternary (4) 3313011300

quinary (5) 224341310

senary (6) 33405320

septenary (7) 11413446

nonary (9) 1812273

undecimal (11) 631433

duodecimal (12) 409840

tridecimal (13) 295884

tetradecimal (14) 1c4b96

pentadecimal (15) 14ed20

As an angle

1,012,080° = 2,811 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬二千零八十
Chinese (financial): 壹佰零壹萬貳仟零捌拾

In other modern scripts

Eastern Arabic ١٠١٢٠٨٠ Devanagari १०१२०८० Bengali ১০১২০৮০ Tamil ௧௦௧௨௦௮௦ Thai ๑๐๑๒๐๘๐ Tibetan ༡༠༡༢༠༨༠ Khmer ១០១២០៨០ Lao ໑໐໑໒໐໘໐ Burmese ၁၀၁၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012080, here are decompositions:

31 + 1012049 = 1012080
37 + 1012043 = 1012080
71 + 1012009 = 1012080
73 + 1012007 = 1012080
101 + 1011979 = 1012080
107 + 1011973 = 1012080
137 + 1011943 = 1012080
163 + 1011917 = 1012080

Showing the first eight; more decompositions exist.

Hex color

#0F7170

RGB(15, 113, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.112.

Address: 0.15.113.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 2080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2080-10-01 (MMDYYYY (US, single-digit day))
2080-01-10 (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 1,012,080 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 US1,012,080 on Google Patents ↗ Look up on USPTO ↗