Live analysis

1,015,040

1,015,040 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.).

1,015,040 (one million fifteen thousand forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 5 × 13 × 61. Its proper divisors sum to 1,646,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7D00.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,015,028 1,015,029 1,015,030 1,015,031 1,015,032 1,015,033 1,015,034 1,015,035 1,015,036 1,015,037 1,015,038 1,015,039 1,015,040 1,015,041 1,015,042 1,015,043 1,015,044 1,015,045 1,015,046 1,015,047 1,015,048 1,015,049 1,015,050 1,015,051 1,015,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 405,101
Recamán's sequence: a(364,787) = 1,015,040
Square (n²): 1,030,306,201,600
Cube (n³): 1,045,802,006,872,064,000
Divisor count: 72
σ(n) — sum of divisors: 2,661,288
φ(n) — Euler's totient: 368,640
Sum of prime factors: 95

Primality

Prime factorization: 2 ⁸ × 5 × 13 × 61

Nearest primes: 1,015,039 (−1) · 1,015,043 (+3)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 61 · 64 · 65 · 80 · 104 · 122 · 128 · 130 · 160 · 208 · 244 · 256 · 260 · 305 · 320 · 416 · 488 · 520 · 610 · 640 · 793 · 832 · 976 · 1040 · 1220 · 1280 · 1586 · 1664 · 1952 · 2080 · 2440 · 3172 · 3328 · 3904 · 3965 · 4160 · 4880 · 6344 · 7808 · 7930 · 8320 · 9760 · 12688 · 15616 · 15860 · 16640 · 19520 · 25376 · 31720 · 39040 · 50752 · 63440 · 78080 · 101504 · 126880 · 203008 · 253760 · 507520 (half) · 1015040

Aliquot sum (sum of proper divisors): 1,646,248

Factor pairs (a × b = 1,015,040)

1 × 1015040

2 × 507520

4 × 253760

5 × 203008

8 × 126880

10 × 101504

13 × 78080

16 × 63440

20 × 50752

26 × 39040

32 × 31720

40 × 25376

52 × 19520

61 × 16640

64 × 15860

65 × 15616

80 × 12688

104 × 9760

122 × 8320

128 × 7930

130 × 7808

160 × 6344

208 × 4880

244 × 4160

256 × 3965

260 × 3904

305 × 3328

320 × 3172

416 × 2440

488 × 2080

520 × 1952

610 × 1664

640 × 1586

793 × 1280

832 × 1220

976 × 1040

First multiples

1,015,040 · 2,030,080 (double) · 3,045,120 · 4,060,160 · 5,075,200 · 6,090,240 · 7,105,280 · 8,120,320 · 9,135,360 · 10,150,400

Sums & aliquot sequence

As a sum of two squares: 176² + 992² = 352² + 944² = 544² + 848² = 688² + 736²

As consecutive integers: 203,006 + 203,007 + 203,008 + 203,009 + 203,010 78,074 + 78,075 + … + 78,086 16,610 + 16,611 + … + 16,670 15,584 + 15,585 + … + 15,648

Aliquot sequence: 1,015,040 → 1,646,248 → 1,588,802 → 805,498 → 406,694 → 217,666 → 116,558 → 71,770 → 57,434 → 37,360 → 49,688 → 43,492 → 34,124 → 28,876 → 21,664 → 21,050 → 18,196 — unresolved within range

Continued fraction of √n

√1,015,040 = [1007; (2, 30, 2, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million fifteen thousand forty
Ordinal: 1015040th
Binary: 11110111110100000000
Octal: 3676400
Hexadecimal: 0xF7D00
Base64: D30A
One's complement: 4,293,952,255 (32-bit)
Scientific notation: 1.01504 × 10⁶
As a duration: 1,015,040 s = 11 days, 17 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 1220120101002

quaternary (4) 3313310000

quinary (5) 224440130

senary (6) 33431132

septenary (7) 11425205

nonary (9) 1816332

undecimal (11) 633684

duodecimal (12) 40b4a8

tridecimal (13) 297020

tetradecimal (14) 1c5cac

pentadecimal (15) 150b45

As an angle

1,015,040° = 2,819 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零一萬五千零四十
Chinese (financial): 壹佰零壹萬伍仟零肆拾

In other modern scripts

Eastern Arabic ١٠١٥٠٤٠ Devanagari १०१५०४० Bengali ১০১৫০৪০ Tamil ௧௦௧௫௦௪௦ Thai ๑๐๑๕๐๔๐ Tibetan ༡༠༡༥༠༤༠ Khmer ១០១៥០៤០ Lao ໑໐໑໕໐໔໐ Burmese ၁၀၁၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015040, here are decompositions:

31 + 1015009 = 1015040
67 + 1014973 = 1015040
151 + 1014889 = 1015040
163 + 1014877 = 1015040
223 + 1014817 = 1015040
277 + 1014763 = 1015040
409 + 1014631 = 1015040
547 + 1014493 = 1015040

Showing the first eight; more decompositions exist.

Hex color

#0F7D00

RGB(15, 125, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.125.0.

Address: 0.15.125.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.125.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 5040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

5040-10-01 (MMDYYYY (US, single-digit day))
5040-01-10 (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 1,015,040 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 US1,015,040 on Google Patents ↗ Look up on USPTO ↗