Live analysis

1,042,080

1,042,080 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.).

1,042,080 (one million forty-two thousand eighty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 13 × 167. Its proper divisors sum to 2,514,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE6A0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,042,068 1,042,069 1,042,070 1,042,071 1,042,072 1,042,073 1,042,074 1,042,075 1,042,076 1,042,077 1,042,078 1,042,079 1,042,080 1,042,081 1,042,082 1,042,083 1,042,084 1,042,085 1,042,086 1,042,087 1,042,088 1,042,089 1,042,090 1,042,091 1,042,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 802,401
Square (n²): 1,085,930,726,400
Cube (n³): 1,131,626,691,366,912,000
Divisor count: 96
σ(n) — sum of divisors: 3,556,224
φ(n) — Euler's totient: 254,976
Sum of prime factors: 198

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 13 × 167

Nearest primes: 1,042,043 (−37) · 1,042,081 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 32 · 39 · 40 · 48 · 52 · 60 · 65 · 78 · 80 · 96 · 104 · 120 · 130 · 156 · 160 · 167 · 195 · 208 · 240 · 260 · 312 · 334 · 390 · 416 · 480 · 501 · 520 · 624 · 668 · 780 · 835 · 1002 · 1040 · 1248 · 1336 · 1560 · 1670 · 2004 · 2080 · 2171 · 2505 · 2672 · 3120 · 3340 · 4008 · 4342 · 5010 · 5344 · 6240 · 6513 · 6680 · 8016 · 8684 · 10020 · 10855 · 13026 · 13360 · 16032 · 17368 · 20040 · 21710 · 26052 · 26720 · 32565 · 34736 · 40080 · 43420 · 52104 · 65130 · 69472 · 80160 · 86840 · 104208 · 130260 · 173680 · 208416 · 260520 · 347360 · 521040 (half) · 1042080

Aliquot sum (sum of proper divisors): 2,514,144

Factor pairs (a × b = 1,042,080)

1 × 1042080

2 × 521040

3 × 347360

4 × 260520

5 × 208416

6 × 173680

8 × 130260

10 × 104208

12 × 86840

13 × 80160

15 × 69472

16 × 65130

20 × 52104

24 × 43420

26 × 40080

30 × 34736

32 × 32565

39 × 26720

40 × 26052

48 × 21710

52 × 20040

60 × 17368

65 × 16032

78 × 13360

80 × 13026

96 × 10855

104 × 10020

120 × 8684

130 × 8016

156 × 6680

160 × 6513

167 × 6240

195 × 5344

208 × 5010

240 × 4342

260 × 4008

312 × 3340

334 × 3120

390 × 2672

416 × 2505

480 × 2171

501 × 2080

520 × 2004

624 × 1670

668 × 1560

780 × 1336

835 × 1248

1002 × 1040

First multiples

1,042,080 · 2,084,160 (double) · 3,126,240 · 4,168,320 · 5,210,400 · 6,252,480 · 7,294,560 · 8,336,640 · 9,378,720 · 10,420,800

Sums & aliquot sequence

As consecutive integers: 347,359 + 347,360 + 347,361 208,414 + 208,415 + 208,416 + 208,417 + 208,418 80,154 + 80,155 + … + 80,166 69,465 + 69,466 + … + 69,479

Aliquot sequence: 1,042,080 → 2,514,144 → 4,085,736 → 6,128,664 → 9,193,056 → 17,152,032 → 28,087,008 → 45,641,640 → 106,145,880 → 214,195,080 → 486,811,320 → 1,072,535,880 → 2,392,585,080 → 4,785,170,520 → 12,151,346,280 — keeps growing

Continued fraction of √n

√1,042,080 = [1020; (1, 4, 1, 1, 1, 9, 1, 3, 2, 1, 20, 1, 3, 1, 20, 1, 2, 3, 1, 9, 1, 1, 1, 4, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million forty-two thousand eighty
Ordinal: 1042080th
Binary: 11111110011010100000
Octal: 3763240
Hexadecimal: 0xFE6A0
Base64: D+ag
One's complement: 4,293,925,215 (32-bit)
Scientific notation: 1.04208 × 10⁶
As a duration: 1,042,080 s = 12 days, 1 hour, 28 minutes

In other bases

ternary (3) 1221221110120

quaternary (4) 3332122200

quinary (5) 231321310

senary (6) 34200240

septenary (7) 11600064

nonary (9) 1857416

undecimal (11) 651a26

duodecimal (12) 423080

tridecimal (13) 2a6420

tetradecimal (14) 1d1aa4

pentadecimal (15) 158b70

As an angle

1,042,080° = 2,894 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零四萬二千零八十
Chinese (financial): 壹佰零肆萬貳仟零捌拾

In other modern scripts

Eastern Arabic ١٠٤٢٠٨٠ Devanagari १०४२०८० Bengali ১০৪২০৮০ Tamil ௧௦௪௨௦௮௦ Thai ๑๐๔๒๐๘๐ Tibetan ༡༠༤༢༠༨༠ Khmer ១០៤២០៨០ Lao ໑໐໔໒໐໘໐ Burmese ၁၀၄၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042080, here are decompositions:

37 + 1042043 = 1042080
41 + 1042039 = 1042080
59 + 1042021 = 1042080
79 + 1042001 = 1042080
89 + 1041991 = 1042080
97 + 1041983 = 1042080
131 + 1041949 = 1042080
173 + 1041907 = 1042080

Showing the first eight; more decompositions exist.

Hex color

#0FE6A0

RGB(15, 230, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.160.

Address: 0.15.230.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 2080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2080-04-01 (DMMYYYY (Euro, single-digit day))
2080-10-04 (MMDYYYY (US, single-digit day))
2080-04-10 (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 1,042,080 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 US1,042,080 on Google Patents ↗ Look up on USPTO ↗