Live analysis

1,040,160

1,040,160 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.).

1,040,160 (one million forty thousand one hundred sixty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 11 × 197. Its proper divisors sum to 2,552,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDF20.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,040,148 1,040,149 1,040,150 1,040,151 1,040,152 1,040,153 1,040,154 1,040,155 1,040,156 1,040,157 1,040,158 1,040,159 1,040,160 1,040,161 1,040,162 1,040,163 1,040,164 1,040,165 1,040,166 1,040,167 1,040,168 1,040,169 1,040,170 1,040,171 1,040,172

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 610,401
Square (n²): 1,081,932,825,600
Cube (n³): 1,125,383,247,876,096,000
Divisor count: 96
σ(n) — sum of divisors: 3,592,512
φ(n) — Euler's totient: 250,880
Sum of prime factors: 226

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 11 × 197

Nearest primes: 1,040,159 (−1) · 1,040,161 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 30 · 32 · 33 · 40 · 44 · 48 · 55 · 60 · 66 · 80 · 88 · 96 · 110 · 120 · 132 · 160 · 165 · 176 · 197 · 220 · 240 · 264 · 330 · 352 · 394 · 440 · 480 · 528 · 591 · 660 · 788 · 880 · 985 · 1056 · 1182 · 1320 · 1576 · 1760 · 1970 · 2167 · 2364 · 2640 · 2955 · 3152 · 3940 · 4334 · 4728 · 5280 · 5910 · 6304 · 6501 · 7880 · 8668 · 9456 · 10835 · 11820 · 13002 · 15760 · 17336 · 18912 · 21670 · 23640 · 26004 · 31520 · 32505 · 34672 · 43340 · 47280 · 52008 · 65010 · 69344 · 86680 · 94560 · 104016 · 130020 · 173360 · 208032 · 260040 · 346720 · 520080 (half) · 1040160

Aliquot sum (sum of proper divisors): 2,552,352

Factor pairs (a × b = 1,040,160)

1 × 1040160

2 × 520080

3 × 346720

4 × 260040

5 × 208032

6 × 173360

8 × 130020

10 × 104016

11 × 94560

12 × 86680

15 × 69344

16 × 65010

20 × 52008

22 × 47280

24 × 43340

30 × 34672

32 × 32505

33 × 31520

40 × 26004

44 × 23640

48 × 21670

55 × 18912

60 × 17336

66 × 15760

80 × 13002

88 × 11820

96 × 10835

110 × 9456

120 × 8668

132 × 7880

160 × 6501

165 × 6304

176 × 5910

197 × 5280

220 × 4728

240 × 4334

264 × 3940

330 × 3152

352 × 2955

394 × 2640

440 × 2364

480 × 2167

528 × 1970

591 × 1760

660 × 1576

788 × 1320

880 × 1182

985 × 1056

First multiples

1,040,160 · 2,080,320 (double) · 3,120,480 · 4,160,640 · 5,200,800 · 6,240,960 · 7,281,120 · 8,321,280 · 9,361,440 · 10,401,600

Sums & aliquot sequence

As consecutive integers: 346,719 + 346,720 + 346,721 208,030 + 208,031 + 208,032 + 208,033 + 208,034 94,555 + 94,556 + … + 94,565 69,337 + 69,338 + … + 69,351

Aliquot sequence: 1,040,160 → 2,552,352 → 4,759,680 → 11,054,400 → 32,032,128 → 53,054,232 → 121,128,168 → 228,567,192 → 459,176,808 → 719,792,952 → 1,081,015,128 → 1,846,734,372 → 3,497,507,804 → 3,497,507,860 → 5,696,274,668 → 6,191,604,244 → 6,231,957,676 — unresolved within range

Continued fraction of √n

√1,040,160 = [1019; (1, 7, 2, 509, 2, 7, 1, 2038)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand one hundred sixty
Ordinal: 1040160th
Binary: 11111101111100100000
Octal: 3757440
Hexadecimal: 0xFDF20
Base64: D98g
One's complement: 4,293,927,135 (32-bit)
Scientific notation: 1.04016 × 10⁶
As a duration: 1,040,160 s = 12 days, 56 minutes

In other bases

ternary (3) 1221211211110

quaternary (4) 3331330200

quinary (5) 231241120

senary (6) 34143320

septenary (7) 11561352

nonary (9) 1854743

undecimal (11) 650540

duodecimal (12) 421b40

tridecimal (13) 2a55a4

tetradecimal (14) 1d10d2

pentadecimal (15) 1582e0

As an angle

1,040,160° = 2,889 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零四萬零一百六十
Chinese (financial): 壹佰零肆萬零壹佰陸拾

In other modern scripts

Eastern Arabic ١٠٤٠١٦٠ Devanagari १०४०१६० Bengali ১০৪০১৬০ Tamil ௧௦௪௦௧௬௦ Thai ๑๐๔๐๑๖๐ Tibetan ༡༠༤༠༡༦༠ Khmer ១០៤០១៦០ Lao ໑໐໔໐໑໖໐ Burmese ၁၀၄၀၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040160, here are decompositions:

7 + 1040153 = 1040160
19 + 1040141 = 1040160
41 + 1040119 = 1040160
47 + 1040113 = 1040160
59 + 1040101 = 1040160
67 + 1040093 = 1040160
71 + 1040089 = 1040160
89 + 1040071 = 1040160

Showing the first eight; more decompositions exist.

Hex color

#0FDF20

RGB(15, 223, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.223.32.

Address: 0.15.223.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.223.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 0160 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0160-04-01 (DMMYYYY (Euro, single-digit day))
0160-10-04 (MMDYYYY (US, single-digit day))
0160-04-10 (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 1,040,160 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 US1,040,160 on Google Patents ↗ Look up on USPTO ↗