Live analysis

1,001,160

1,001,160 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.).

1,001,160 (one million one thousand one hundred sixty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3⁵ × 5 × 103. Its proper divisors sum to 2,405,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46C8.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,148 1,001,149 1,001,150 1,001,151 1,001,152 1,001,153 1,001,154 1,001,155 1,001,156 1,001,157 1,001,158 1,001,159 1,001,160 1,001,161 1,001,162 1,001,163 1,001,164 1,001,165 1,001,166 1,001,167 1,001,168 1,001,169 1,001,170 1,001,171 1,001,172

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 611,001
Flips to (rotate 180°): 911,001
Square (n²): 1,002,321,345,600
Cube (n³): 1,003,484,038,360,896,000
Divisor count: 96
σ(n) — sum of divisors: 3,407,040
φ(n) — Euler's totient: 264,384
Sum of prime factors: 129

Primality

Prime factorization: 2 ³ × 3 ⁵ × 5 × 103

Nearest primes: 1,001,159 (−1) · 1,001,173 (+13)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 81 · 90 · 103 · 108 · 120 · 135 · 162 · 180 · 206 · 216 · 243 · 270 · 309 · 324 · 360 · 405 · 412 · 486 · 515 · 540 · 618 · 648 · 810 · 824 · 927 · 972 · 1030 · 1080 · 1215 · 1236 · 1545 · 1620 · 1854 · 1944 · 2060 · 2430 · 2472 · 2781 · 3090 · 3240 · 3708 · 4120 · 4635 · 4860 · 5562 · 6180 · 7416 · 8343 · 9270 · 9720 · 11124 · 12360 · 13905 · 16686 · 18540 · 22248 · 25029 · 27810 · 33372 · 37080 · 41715 · 50058 · 55620 · 66744 · 83430 · 100116 · 111240 · 125145 · 166860 · 200232 · 250290 · 333720 · 500580 (half) · 1001160

Aliquot sum (sum of proper divisors): 2,405,880

Factor pairs (a × b = 1,001,160)

1 × 1001160

2 × 500580

3 × 333720

4 × 250290

5 × 200232

6 × 166860

8 × 125145

9 × 111240

10 × 100116

12 × 83430

15 × 66744

18 × 55620

20 × 50058

24 × 41715

27 × 37080

30 × 33372

36 × 27810

40 × 25029

45 × 22248

54 × 18540

60 × 16686

72 × 13905

81 × 12360

90 × 11124

103 × 9720

108 × 9270

120 × 8343

135 × 7416

162 × 6180

180 × 5562

206 × 4860

216 × 4635

243 × 4120

270 × 3708

309 × 3240

324 × 3090

360 × 2781

405 × 2472

412 × 2430

486 × 2060

515 × 1944

540 × 1854

618 × 1620

648 × 1545

810 × 1236

824 × 1215

927 × 1080

972 × 1030

First multiples

1,001,160 · 2,002,320 (double) · 3,003,480 · 4,004,640 · 5,005,800 · 6,006,960 · 7,008,120 · 8,009,280 · 9,010,440 · 10,011,600

Sums & aliquot sequence

As consecutive integers: 333,719 + 333,720 + 333,721 200,230 + 200,231 + 200,232 + 200,233 + 200,234 111,236 + 111,237 + … + 111,244 66,737 + 66,738 + … + 66,751

Aliquot sequence: 1,001,160 → 2,405,880 → 5,653,080 → 13,216,680 → 29,738,700 → 64,505,268 → 102,730,892 → 93,391,804 → 86,214,644 → 66,527,764 → 49,895,830 → 40,844,330 → 32,837,590 → 27,081,098 → 17,734,582 → 8,867,294 → 4,433,650 — unresolved within range

Continued fraction of √n

√1,001,160 = [1000; (1, 1, 2, 1, 1, 1, 2, 1, 1, 2000)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million one thousand one hundred sixty
Ordinal: 1001160th
Binary: 11110100011011001000
Octal: 3643310
Hexadecimal: 0xF46C8
Base64: D0bI
One's complement: 4,293,966,135 (32-bit)
Scientific notation: 1.00116 × 10⁶
As a duration: 1,001,160 s = 11 days, 14 hours, 6 minutes

In other bases

ternary (3) 1212212100000

quaternary (4) 3310123020

quinary (5) 224014120

senary (6) 33243000

septenary (7) 11336556

nonary (9) 1785300

undecimal (11) 624206

duodecimal (12) 403460

tridecimal (13) 290904

tetradecimal (14) 1c0bd6

pentadecimal (15) 14b990

As an angle

1,001,160° = 2,781 × 360°

0° ≈ 0 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千一百六十
Chinese (financial): 壹佰萬壹仟壹佰陸拾

In other modern scripts

Eastern Arabic ١٠٠١١٦٠ Devanagari १००११६० Bengali ১০০১১৬০ Tamil ௧௦௦௧௧௬௦ Thai ๑๐๐๑๑๖๐ Tibetan ༡༠༠༡༡༦༠ Khmer ១០០១១៦០ Lao ໑໐໐໑໑໖໐ Burmese ၁၀၀၁၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001160, here are decompositions:

7 + 1001153 = 1001160
37 + 1001123 = 1001160
53 + 1001107 = 1001160
67 + 1001093 = 1001160
71 + 1001089 = 1001160
73 + 1001087 = 1001160
79 + 1001081 = 1001160
137 + 1001023 = 1001160

Showing the first eight; more decompositions exist.

Hex color

#0F46C8

RGB(15, 70, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.200.

Address: 0.15.70.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.200

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

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 1,001,160 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 US1,001,160 on Google Patents ↗ Look up on USPTO ↗