Live analysis

1,012,040

1,012,040 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.).

1,012,040 (one million twelve thousand forty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,301. Its proper divisors sum to 1,265,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7148.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,012,028 1,012,029 1,012,030 1,012,031 1,012,032 1,012,033 1,012,034 1,012,035 1,012,036 1,012,037 1,012,038 1,012,039 1,012,040 1,012,041 1,012,042 1,012,043 1,012,044 1,012,045 1,012,046 1,012,047 1,012,048 1,012,049 1,012,050 1,012,051 1,012,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 402,101
Square (n²): 1,024,224,961,600
Cube (n³): 1,036,556,630,137,664,000
Divisor count: 16
σ(n) — sum of divisors: 2,277,180
φ(n) — Euler's totient: 404,800
Sum of prime factors: 25,312

Primality

Prime factorization: 2 ³ × 5 × 25301

Nearest primes: 1,012,031 (−9) · 1,012,043 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25301 · 50602 · 101204 · 126505 · 202408 · 253010 · 506020 (half) · 1012040

Aliquot sum (sum of proper divisors): 1,265,140

Factor pairs (a × b = 1,012,040)

1 × 1012040

2 × 506020

4 × 253010

5 × 202408

8 × 126505

10 × 101204

20 × 50602

40 × 25301

First multiples

1,012,040 · 2,024,080 (double) · 3,036,120 · 4,048,160 · 5,060,200 · 6,072,240 · 7,084,280 · 8,096,320 · 9,108,360 · 10,120,400

Sums & aliquot sequence

As a sum of two squares: 2² + 1,006² = 602² + 806²

As consecutive integers: 202,406 + 202,407 + 202,408 + 202,409 + 202,410 63,245 + 63,246 + … + 63,260 12,611 + 12,612 + … + 12,690

Aliquot sequence: 1,012,040 → 1,265,140 → 1,594,808 → 1,409,752 → 1,246,688 → 1,207,792 → 1,359,008 → 1,699,264 → 2,155,440 → 5,486,928 → 8,687,760 → 18,792,624 → 30,222,096 → 48,668,688 → 103,719,438 → 121,442,538 → 156,140,502 — unresolved within range

Continued fraction of √n

√1,012,040 = [1006; (503, 2012)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand forty
Ordinal: 1012040th
Binary: 11110111000101001000
Octal: 3670510
Hexadecimal: 0xF7148
Base64: D3FI
One's complement: 4,293,955,255 (32-bit)
Scientific notation: 1.01204 × 10⁶
As a duration: 1,012,040 s = 11 days, 17 hours, 7 minutes, 20 seconds

In other bases

ternary (3) 1220102020222

quaternary (4) 3313011020

quinary (5) 224341130

senary (6) 33405212

septenary (7) 11413361

nonary (9) 1812228

undecimal (11) 6313a7

duodecimal (12) 409808

tridecimal (13) 295853

tetradecimal (14) 1c4b68

pentadecimal (15) 14ece5

As an angle

1,012,040° = 2,811 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零一萬二千零四十
Chinese (financial): 壹佰零壹萬貳仟零肆拾

In other modern scripts

Eastern Arabic ١٠١٢٠٤٠ Devanagari १०१२०४० Bengali ১০১২০৪০ Tamil ௧௦௧௨௦௪௦ Thai ๑๐๑๒๐๔๐ Tibetan ༡༠༡༢༠༤༠ Khmer ១០១២០៤០ Lao ໑໐໑໒໐໔໐ Burmese ၁၀၁၂၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012040, here are decompositions:

31 + 1012009 = 1012040
61 + 1011979 = 1012040
67 + 1011973 = 1012040
79 + 1011961 = 1012040
97 + 1011943 = 1012040
103 + 1011937 = 1012040
151 + 1011889 = 1012040
223 + 1011817 = 1012040

Showing the first eight; more decompositions exist.

Hex color

#0F7148

RGB(15, 113, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.72.

Address: 0.15.113.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2040-10-01 (MMDYYYY (US, single-digit day))
2040-01-10 (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 1,012,040 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 US1,012,040 on Google Patents ↗ Look up on USPTO ↗