Live analysis

940,040

940,040 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.).

940,040 (nine hundred forty thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 71 × 331. Its proper divisors sum to 1,211,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE5808.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

940,028 940,029 940,030 940,031 940,032 940,033 940,034 940,035 940,036 940,037 940,038 940,039 940,040 940,041 940,042 940,043 940,044 940,045 940,046 940,047 940,048 940,049 940,050 940,051 940,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 40,049
Square (n²): 883,675,201,600
Cube (n³): 830,690,036,512,064,000
Divisor count: 32
σ(n) — sum of divisors: 2,151,360
φ(n) — Euler's totient: 369,600
Sum of prime factors: 413

Primality

Prime factorization: 2 ³ × 5 × 71 × 331

Nearest primes: 940,031 (−9) · 940,067 (+27)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 71 · 142 · 284 · 331 · 355 · 568 · 662 · 710 · 1324 · 1420 · 1655 · 2648 · 2840 · 3310 · 6620 · 13240 · 23501 · 47002 · 94004 · 117505 · 188008 · 235010 · 470020 (half) · 940040

Aliquot sum (sum of proper divisors): 1,211,320

Factor pairs (a × b = 940,040)

1 × 940040

2 × 470020

4 × 235010

5 × 188008

8 × 117505

10 × 94004

20 × 47002

40 × 23501

71 × 13240

142 × 6620

284 × 3310

331 × 2840

355 × 2648

568 × 1655

662 × 1420

710 × 1324

First multiples

940,040 · 1,880,080 (double) · 2,820,120 · 3,760,160 · 4,700,200 · 5,640,240 · 6,580,280 · 7,520,320 · 8,460,360 · 9,400,400

Sums & aliquot sequence

As consecutive integers: 188,006 + 188,007 + 188,008 + 188,009 + 188,010 58,745 + 58,746 + … + 58,760 13,205 + 13,206 + … + 13,275 11,711 + 11,712 + … + 11,790

Aliquot sequence: 940,040 → 1,211,320 → 1,763,000 → 2,561,320 → 3,201,740 → 3,521,956 → 2,941,844 → 2,206,390 → 2,039,306 → 1,058,614 → 529,310 → 447,442 → 267,950 → 254,338 → 194,366 → 99,514 → 49,760 — unresolved within range

Continued fraction of √n

√940,040 = [969; (1, 1, 3, 1, 11, 21, 1, 2, 2, 1, 2, 1, 3, 3, 7, 6, 1, 1, 2, 1, 13, 1, 1, 5, …)]

Representations

In words: nine hundred forty thousand forty
Ordinal: 940040th
Binary: 11100101100000001000
Octal: 3454010
Hexadecimal: 0xE5808
Base64: DlgI
One's complement: 4,294,027,255 (32-bit)
Scientific notation: 9.4004 × 10⁵
As a duration: 940,040 s = 10 days, 21 hours, 7 minutes, 20 seconds

In other bases

ternary (3) 1202202111022

quaternary (4) 3211200020

quinary (5) 220040130

senary (6) 32052012

septenary (7) 10663433

nonary (9) 1682438

undecimal (11) 5922a2

duodecimal (12) 394008

tridecimal (13) 26bb4a

tetradecimal (14) 1a681a

pentadecimal (15) 1387e5

As an angle

940,040° = 2,611 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡμμʹ
Chinese: 九十四萬零四十
Chinese (financial): 玖拾肆萬零肆拾

In other modern scripts

Eastern Arabic ٩٤٠٠٤٠ Devanagari ९४००४० Bengali ৯৪০০৪০ Tamil ௯௪௦௦௪௦ Thai ๙๔๐๐๔๐ Tibetan ༩༤༠༠༤༠ Khmer ៩៤០០៤០ Lao ໙໔໐໐໔໐ Burmese ၉၄၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 940040, here are decompositions:

37 + 940003 = 940040
43 + 939997 = 940040
67 + 939973 = 940040
109 + 939931 = 940040
139 + 939901 = 940040
193 + 939847 = 940040
271 + 939769 = 940040
379 + 939661 = 940040

Showing the first eight; more decompositions exist.

Hex color

#0E5808

RGB(14, 88, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.88.8.

Address: 0.14.88.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.88.8

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 940,040 and was likely granted around 1909.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US940,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 940040 first appears in π at position 908,767 of the decimal expansion (the 908,767ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 940040 on Pi Search ↗