Live analysis

1,042,320

1,042,320 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.).

1,042,320 (one million forty-two thousand three hundred twenty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 43 × 101. Its proper divisors sum to 2,296,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE790.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,042,308 1,042,309 1,042,310 1,042,311 1,042,312 1,042,313 1,042,314 1,042,315 1,042,316 1,042,317 1,042,318 1,042,319 1,042,320 1,042,321 1,042,322 1,042,323 1,042,324 1,042,325 1,042,326 1,042,327 1,042,328 1,042,329 1,042,330 1,042,331 1,042,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 232,401
Square (n²): 1,086,430,982,400
Cube (n³): 1,132,408,741,575,168,000
Divisor count: 80
σ(n) — sum of divisors: 3,339,072
φ(n) — Euler's totient: 268,800
Sum of prime factors: 160

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 43 × 101

Nearest primes: 1,042,309 (−11) · 1,042,331 (+11)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 43 · 48 · 60 · 80 · 86 · 101 · 120 · 129 · 172 · 202 · 215 · 240 · 258 · 303 · 344 · 404 · 430 · 505 · 516 · 606 · 645 · 688 · 808 · 860 · 1010 · 1032 · 1212 · 1290 · 1515 · 1616 · 1720 · 2020 · 2064 · 2424 · 2580 · 3030 · 3440 · 4040 · 4343 · 4848 · 5160 · 6060 · 8080 · 8686 · 10320 · 12120 · 13029 · 17372 · 21715 · 24240 · 26058 · 34744 · 43430 · 52116 · 65145 · 69488 · 86860 · 104232 · 130290 · 173720 · 208464 · 260580 · 347440 · 521160 (half) · 1042320

Aliquot sum (sum of proper divisors): 2,296,752

Factor pairs (a × b = 1,042,320)

1 × 1042320

2 × 521160

3 × 347440

4 × 260580

5 × 208464

6 × 173720

8 × 130290

10 × 104232

12 × 86860

15 × 69488

16 × 65145

20 × 52116

24 × 43430

30 × 34744

40 × 26058

43 × 24240

48 × 21715

60 × 17372

80 × 13029

86 × 12120

101 × 10320

120 × 8686

129 × 8080

172 × 6060

202 × 5160

215 × 4848

240 × 4343

258 × 4040

303 × 3440

344 × 3030

404 × 2580

430 × 2424

505 × 2064

516 × 2020

606 × 1720

645 × 1616

688 × 1515

808 × 1290

860 × 1212

1010 × 1032

First multiples

1,042,320 · 2,084,640 (double) · 3,126,960 · 4,169,280 · 5,211,600 · 6,253,920 · 7,296,240 · 8,338,560 · 9,380,880 · 10,423,200

Sums & aliquot sequence

As consecutive integers: 347,439 + 347,440 + 347,441 208,462 + 208,463 + 208,464 + 208,465 + 208,466 69,481 + 69,482 + … + 69,495 32,557 + 32,558 + … + 32,588

Aliquot sequence: 1,042,320 → 2,296,752 → 3,744,528 → 6,004,848 → 9,507,800 → 12,823,360 → 20,497,376 → 23,320,384 → 23,114,880 → 56,723,580 → 117,559,620 → 260,843,580 → 576,934,452 → 917,001,264 → 1,491,094,608 → 2,404,191,792 → 3,806,637,128 — unresolved within range

Continued fraction of √n

√1,042,320 = [1020; (1, 15, 1, 7, 28, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 1, 2, 2, 1, 2, 6, 1, 2, …)]

Representations

In words: one million forty-two thousand three hundred twenty
Ordinal: 1042320th
Binary: 11111110011110010000
Octal: 3763620
Hexadecimal: 0xFE790
Base64: D+eQ
One's complement: 4,293,924,975 (32-bit)
Scientific notation: 1.04232 × 10⁶
As a duration: 1,042,320 s = 12 days, 1 hour, 32 minutes

In other bases

ternary (3) 1221221210110

quaternary (4) 3332132100

quinary (5) 231323240

senary (6) 34201320

septenary (7) 11600556

nonary (9) 1857713

undecimal (11) 652124

duodecimal (12) 423240

tridecimal (13) 2a6576

tetradecimal (14) 1d1bd6

pentadecimal (15) 158c80

As an angle

1,042,320° = 2,895 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零四萬二千三百二十
Chinese (financial): 壹佰零肆萬貳仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠٤٢٣٢٠ Devanagari १०४२३२० Bengali ১০৪২৩২০ Tamil ௧௦௪௨௩௨௦ Thai ๑๐๔๒๓๒๐ Tibetan ༡༠༤༢༣༢༠ Khmer ១០៤២៣២០ Lao ໑໐໔໒໓໒໐ Burmese ၁၀၄၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042320, here are decompositions:

11 + 1042309 = 1042320
47 + 1042273 = 1042320
53 + 1042267 = 1042320
61 + 1042259 = 1042320
79 + 1042241 = 1042320
109 + 1042211 = 1042320
127 + 1042193 = 1042320
137 + 1042183 = 1042320

Showing the first eight; more decompositions exist.

Hex color

#0FE790

RGB(15, 231, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.144.

Address: 0.15.231.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.231.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 2320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2320-04-01 (DMMYYYY (Euro, single-digit day))
2320-10-04 (MMDYYYY (US, single-digit day))
2320-04-10 (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 1,042,320 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 US1,042,320 on Google Patents ↗ Look up on USPTO ↗