Live analysis

1,040,072

1,040,072 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.).

1,040,072 (one million forty thousand seventy-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 53 × 223. Its proper divisors sum to 1,137,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEC8.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,040,060 1,040,061 1,040,062 1,040,063 1,040,064 1,040,065 1,040,066 1,040,067 1,040,068 1,040,069 1,040,070 1,040,071 1,040,072 1,040,073 1,040,074 1,040,075 1,040,076 1,040,077 1,040,078 1,040,079 1,040,080 1,040,081 1,040,082 1,040,083 1,040,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,700,401
Square (n²): 1,081,749,765,184
Cube (n³): 1,125,097,641,774,453,248
Divisor count: 32
σ(n) — sum of divisors: 2,177,280
φ(n) — Euler's totient: 461,760
Sum of prime factors: 293

Primality

Prime factorization: 2 ³ × 11 × 53 × 223

Nearest primes: 1,040,071 (−1) · 1,040,089 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 53 · 88 · 106 · 212 · 223 · 424 · 446 · 583 · 892 · 1166 · 1784 · 2332 · 2453 · 4664 · 4906 · 9812 · 11819 · 19624 · 23638 · 47276 · 94552 · 130009 · 260018 · 520036 (half) · 1040072

Aliquot sum (sum of proper divisors): 1,137,208

Factor pairs (a × b = 1,040,072)

1 × 1040072

2 × 520036

4 × 260018

8 × 130009

11 × 94552

22 × 47276

44 × 23638

53 × 19624

88 × 11819

106 × 9812

212 × 4906

223 × 4664

424 × 2453

446 × 2332

583 × 1784

892 × 1166

First multiples

1,040,072 · 2,080,144 (double) · 3,120,216 · 4,160,288 · 5,200,360 · 6,240,432 · 7,280,504 · 8,320,576 · 9,360,648 · 10,400,720

Sums & aliquot sequence

As consecutive integers: 94,547 + 94,548 + … + 94,557 64,997 + 64,998 + … + 65,012 19,598 + 19,599 + … + 19,650 5,822 + 5,823 + … + 5,997

Aliquot sequence: 1,040,072 → 1,137,208 → 995,072 → 1,249,240 → 1,561,640 → 1,952,140 → 2,147,396 → 1,610,554 → 1,164,326 → 608,434 → 304,220 → 457,828 → 473,564 → 547,204 → 547,260 → 1,205,316 → 2,277,436 — unresolved within range

Continued fraction of √n

√1,040,072 = [1019; (1, 5, 4, 1, 1, 3, 3, 3, 4, 2, 1, 10, 6, 3, 3, 22, 1, 1, 1, 1, 1, 1, 6, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand seventy-two
Ordinal: 1040072nd
Binary: 11111101111011001000
Octal: 3757310
Hexadecimal: 0xFDEC8
Base64: D97I
One's complement: 4,293,927,223 (32-bit)
Scientific notation: 1.040072 × 10⁶
As a duration: 1,040,072 s = 12 days, 54 minutes, 32 seconds

In other bases

ternary (3) 1221211201012

quaternary (4) 3331323020

quinary (5) 231240242

senary (6) 34143052

septenary (7) 11561165

nonary (9) 1854635

undecimal (11) 650470

duodecimal (12) 421a88

tridecimal (13) 2a5537

tetradecimal (14) 1d106c

pentadecimal (15) 158282

As an angle

1,040,072° = 2,889 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬零七十二
Chinese (financial): 壹佰零肆萬零柒拾貳

In other modern scripts

Eastern Arabic ١٠٤٠٠٧٢ Devanagari १०४००७२ Bengali ১০৪০০৭২ Tamil ௧௦௪௦௦௭௨ Thai ๑๐๔๐๐๗๒ Tibetan ༡༠༤༠༠༧༢ Khmer ១០៤០០៧២ Lao ໑໐໔໐໐໗໒ Burmese ၁၀၄၀၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040072, here are decompositions:

3 + 1040069 = 1040072
13 + 1040059 = 1040072
43 + 1040029 = 1040072
73 + 1039999 = 1040072
151 + 1039921 = 1040072
181 + 1039891 = 1040072
283 + 1039789 = 1040072
421 + 1039651 = 1040072

Showing the first eight; more decompositions exist.

Hex color

#0FDEC8

RGB(15, 222, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.200.

Address: 0.15.222.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.200

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 0072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0072-04-01 (DMMYYYY (Euro, single-digit day))
0072-10-04 (MMDYYYY (US, single-digit day))
0072-04-10 (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 1,040,072 and was likely granted around 1912.

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

Look up US1,040,072 on Google Patents ↗ Look up on USPTO ↗