Live analysis

1,004,160

1,004,160 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.).

1,004,160 (one million four thousand one hundred sixty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 523. Its proper divisors sum to 2,202,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5280.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,148 1,004,149 1,004,150 1,004,151 1,004,152 1,004,153 1,004,154 1,004,155 1,004,156 1,004,157 1,004,158 1,004,159 1,004,160 1,004,161 1,004,162 1,004,163 1,004,164 1,004,165 1,004,166 1,004,167 1,004,168 1,004,169 1,004,170 1,004,171 1,004,172

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 614,001
Square (n²): 1,008,337,305,600
Cube (n³): 1,012,531,988,791,296,000
Divisor count: 64
σ(n) — sum of divisors: 3,206,880
φ(n) — Euler's totient: 267,264
Sum of prime factors: 545

Primality

Prime factorization: 2 ⁷ × 3 × 5 × 523

Nearest primes: 1,004,141 (−19) · 1,004,161 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 128 · 160 · 192 · 240 · 320 · 384 · 480 · 523 · 640 · 960 · 1046 · 1569 · 1920 · 2092 · 2615 · 3138 · 4184 · 5230 · 6276 · 7845 · 8368 · 10460 · 12552 · 15690 · 16736 · 20920 · 25104 · 31380 · 33472 · 41840 · 50208 · 62760 · 66944 · 83680 · 100416 · 125520 · 167360 · 200832 · 251040 · 334720 · 502080 (half) · 1004160

Aliquot sum (sum of proper divisors): 2,202,720

Factor pairs (a × b = 1,004,160)

1 × 1004160

2 × 502080

3 × 334720

4 × 251040

5 × 200832

6 × 167360

8 × 125520

10 × 100416

12 × 83680

15 × 66944

16 × 62760

20 × 50208

24 × 41840

30 × 33472

32 × 31380

40 × 25104

48 × 20920

60 × 16736

64 × 15690

80 × 12552

96 × 10460

120 × 8368

128 × 7845

160 × 6276

192 × 5230

240 × 4184

320 × 3138

384 × 2615

480 × 2092

523 × 1920

640 × 1569

960 × 1046

First multiples

1,004,160 · 2,008,320 (double) · 3,012,480 · 4,016,640 · 5,020,800 · 6,024,960 · 7,029,120 · 8,033,280 · 9,037,440 · 10,041,600

Sums & aliquot sequence

As consecutive integers: 334,719 + 334,720 + 334,721 200,830 + 200,831 + 200,832 + 200,833 + 200,834 66,937 + 66,938 + … + 66,951 3,795 + 3,796 + … + 4,050

Aliquot sequence: 1,004,160 → 2,202,720 → 5,290,752 → 8,962,060 → 11,462,036 → 8,596,534 → 4,315,946 → 2,182,678 → 1,091,342 → 796,498 → 398,252 → 298,696 → 261,374 → 130,690 → 138,302 → 69,154 → 36,254 — unresolved within range

Continued fraction of √n

√1,004,160 = [1002; (12, 1, 5, 1, 1, 11, 3, 7, 1, 124, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 51, 501, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million four thousand one hundred sixty
Ordinal: 1004160th
Binary: 11110101001010000000
Octal: 3651200
Hexadecimal: 0xF5280
Base64: D1KA
One's complement: 4,293,963,135 (32-bit)
Scientific notation: 1.00416 × 10⁶
As a duration: 1,004,160 s = 11 days, 14 hours, 56 minutes

In other bases

ternary (3) 1220000110010

quaternary (4) 3311022000

quinary (5) 224113120

senary (6) 33304520

septenary (7) 11351403

nonary (9) 1800403

undecimal (11) 626493

duodecimal (12) 405140

tridecimal (13) 2920a1

tetradecimal (14) 1c1d3a

pentadecimal (15) 14c7e0

As an angle

1,004,160° = 2,789 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千一百六十
Chinese (financial): 壹佰萬肆仟壹佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٤١٦٠ Devanagari १००४१६० Bengali ১০০৪১৬০ Tamil ௧௦௦௪௧௬௦ Thai ๑๐๐๔๑๖๐ Tibetan ༡༠༠༤༡༦༠ Khmer ១០០៤១៦០ Lao ໑໐໐໔໑໖໐ Burmese ၁၀၀၄၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004160, here are decompositions:

19 + 1004141 = 1004160
23 + 1004137 = 1004160
41 + 1004119 = 1004160
43 + 1004117 = 1004160
71 + 1004089 = 1004160
83 + 1004077 = 1004160
97 + 1004063 = 1004160
103 + 1004057 = 1004160

Showing the first eight; more decompositions exist.

Hex color

#0F5280

RGB(15, 82, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.128.

Address: 0.15.82.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.128

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 1,004,160 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 US1,004,160 on Google Patents ↗ Look up on USPTO ↗