Live analysis

1,013,440

1,013,440 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.).

1,013,440 (one million thirteen thousand four hundred forty) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 3,167. Its proper divisors sum to 1,400,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76C0.

Abundant Number Gapful Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,428 1,013,429 1,013,430 1,013,431 1,013,432 1,013,433 1,013,434 1,013,435 1,013,436 1,013,437 1,013,438 1,013,439 1,013,440 1,013,441 1,013,442 1,013,443 1,013,444 1,013,445 1,013,446 1,013,447 1,013,448 1,013,449 1,013,450 1,013,451 1,013,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 443,101
Square (n²): 1,027,060,633,600
Cube (n³): 1,040,864,328,515,584,000
Divisor count: 28
σ(n) — sum of divisors: 2,414,016
φ(n) — Euler's totient: 405,248
Sum of prime factors: 3,184

Primality

Prime factorization: 2 ⁶ × 5 × 3167

Nearest primes: 1,013,431 (−9) · 1,013,471 (+31)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 3167 · 6334 · 12668 · 15835 · 25336 · 31670 · 50672 · 63340 · 101344 · 126680 · 202688 · 253360 · 506720 (half) · 1013440

Aliquot sum (sum of proper divisors): 1,400,576

Factor pairs (a × b = 1,013,440)

1 × 1013440

2 × 506720

4 × 253360

5 × 202688

8 × 126680

10 × 101344

16 × 63340

20 × 50672

32 × 31670

40 × 25336

64 × 15835

80 × 12668

160 × 6334

320 × 3167

First multiples

1,013,440 · 2,026,880 (double) · 3,040,320 · 4,053,760 · 5,067,200 · 6,080,640 · 7,094,080 · 8,107,520 · 9,120,960 · 10,134,400

Sums & aliquot sequence

As consecutive integers: 202,686 + 202,687 + 202,688 + 202,689 + 202,690 7,854 + 7,855 + … + 7,981 1,264 + 1,265 + … + 1,903

Aliquot sequence: 1,013,440 → 1,400,576 → 1,395,616 → 1,352,066 → 680,974 → 498,674 → 361,006 → 180,506 → 106,234 → 53,120 → 75,400 → 119,900 → 166,540 → 215,492 → 183,928 → 166,352 → 165,844 — unresolved within range

Continued fraction of √n

√1,013,440 = [1006; (1, 2, 3, 3, 1, 4, 2, 9, 1, 4, 1, 1, 4, 3, 3, 1, 1, 1, 2, 3, 15, 1, 15, 1, …)]

Representations

In words: one million thirteen thousand four hundred forty
Ordinal: 1013440th
Binary: 11110111011011000000
Octal: 3673300
Hexadecimal: 0xF76C0
Base64: D3bA
One's complement: 4,293,953,855 (32-bit)
Scientific notation: 1.01344 × 10⁶
As a duration: 1,013,440 s = 11 days, 17 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1220111011211

quaternary (4) 3313123000

quinary (5) 224412230

senary (6) 33415504

septenary (7) 11420431

nonary (9) 1814154

undecimal (11) 63245a

duodecimal (12) 40a594

tridecimal (13) 29638c

tetradecimal (14) 1c5488

pentadecimal (15) 15042a

As an angle

1,013,440° = 2,815 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千四百四十
Chinese (financial): 壹佰零壹萬參仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٤٤٠ Devanagari १०१३४४० Bengali ১০১৩৪৪০ Tamil ௧௦௧௩௪௪௦ Thai ๑๐๑๓๔๔๐ Tibetan ༡༠༡༣༤༤༠ Khmer ១០១៣៤៤០ Lao ໑໐໑໓໔໔໐ Burmese ၁၀၁၃၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013440, here are decompositions:

11 + 1013429 = 1013440
41 + 1013399 = 1013440
149 + 1013291 = 1013440
173 + 1013267 = 1013440
191 + 1013249 = 1013440
431 + 1013009 = 1013440
443 + 1012997 = 1013440
509 + 1012931 = 1013440

Showing the first eight; more decompositions exist.

Hex color

#0F76C0

RGB(15, 118, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.192.

Address: 0.15.118.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3440-10-01 (MMDYYYY (US, single-digit day))
3440-01-10 (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 1,013,440 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 US1,013,440 on Google Patents ↗ Look up on USPTO ↗