Live analysis

1,061,040

1,061,040 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.).

1,061,040 (one million sixty-one thousand forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,421. Its proper divisors sum to 2,228,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1030B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,061,028 1,061,029 1,061,030 1,061,031 1,061,032 1,061,033 1,061,034 1,061,035 1,061,036 1,061,037 1,061,038 1,061,039 1,061,040 1,061,041 1,061,042 1,061,043 1,061,044 1,061,045 1,061,046 1,061,047 1,061,048 1,061,049 1,061,050 1,061,051 1,061,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 401,601
Square (n²): 1,125,805,881,600
Cube (n³): 1,194,525,072,612,864,000
Divisor count: 40
σ(n) — sum of divisors: 3,289,968
φ(n) — Euler's totient: 282,880
Sum of prime factors: 4,437

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 4421

Nearest primes: 1,061,033 (−7) · 1,061,057 (+17)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4421 · 8842 · 13263 · 17684 · 22105 · 26526 · 35368 · 44210 · 53052 · 66315 · 70736 · 88420 · 106104 · 132630 · 176840 · 212208 · 265260 · 353680 · 530520 (half) · 1061040

Aliquot sum (sum of proper divisors): 2,228,928

Factor pairs (a × b = 1,061,040)

1 × 1061040

2 × 530520

3 × 353680

4 × 265260

5 × 212208

6 × 176840

8 × 132630

10 × 106104

12 × 88420

15 × 70736

16 × 66315

20 × 53052

24 × 44210

30 × 35368

40 × 26526

48 × 22105

60 × 17684

80 × 13263

120 × 8842

240 × 4421

First multiples

1,061,040 · 2,122,080 (double) · 3,183,120 · 4,244,160 · 5,305,200 · 6,366,240 · 7,427,280 · 8,488,320 · 9,549,360 · 10,610,400

Sums & aliquot sequence

As consecutive integers: 353,679 + 353,680 + 353,681 212,206 + 212,207 + 212,208 + 212,209 + 212,210 70,729 + 70,730 + … + 70,743 33,142 + 33,143 + … + 33,173

Aliquot sequence: 1,061,040 → 2,228,928 → 4,598,592 → 7,873,824 → 15,749,664 → 33,602,016 → 70,520,352 → 153,521,760 → 399,168,672 → 842,042,208 → 1,699,037,088 → 3,562,561,632 → 7,802,839,968 → 18,189,909,696 — keeps growing

Continued fraction of √n

√1,061,040 = [1030; (14, 1, 2, 1, 1, 41, 2, 8, 18, 2, 3, 1, 4, 2, 1, 1, 2, 3, 1, 1, 28, 2, 4, 1, …)]

Representations

In words: one million sixty-one thousand forty
Ordinal: 1061040th
Binary: 100000011000010110000
Octal: 4030260
Hexadecimal: 0x1030B0
Base64: EDCw
One's complement: 4,293,906,255 (32-bit)
Scientific notation: 1.06104 × 10⁶
As a duration: 1,061,040 s = 12 days, 6 hours, 44 minutes

In other bases

ternary (3) 1222220110210

quaternary (4) 10003002300

quinary (5) 232423130

senary (6) 34424120

septenary (7) 12006261

nonary (9) 1886423

undecimal (11) 6651a2

duodecimal (12) 432040

tridecimal (13) 2b1c46

tetradecimal (14) 1d8968

pentadecimal (15) 15e5b0

As an angle

1,061,040° = 2,947 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零六萬一千零四十
Chinese (financial): 壹佰零陸萬壹仟零肆拾

In other modern scripts

Eastern Arabic ١٠٦١٠٤٠ Devanagari १०६१०४० Bengali ১০৬১০৪০ Tamil ௧௦௬௧௦௪௦ Thai ๑๐๖๑๐๔๐ Tibetan ༡༠༦༡༠༤༠ Khmer ១០៦១០៤០ Lao ໑໐໖໑໐໔໐ Burmese ၁၀၆၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061040, here are decompositions:

7 + 1061033 = 1061040
47 + 1060993 = 1061040
59 + 1060981 = 1061040
103 + 1060937 = 1061040
157 + 1060883 = 1061040
173 + 1060867 = 1061040
179 + 1060861 = 1061040
263 + 1060777 = 1061040

Showing the first eight; more decompositions exist.

Hex color

#1030B0

RGB(16, 48, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.48.176.

Address: 0.16.48.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.48.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 1040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1040-06-01 (DMMYYYY (Euro, single-digit day))
1040-10-06 (MMDYYYY (US, single-digit day))
1040-06-10 (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 1,061,040 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 US1,061,040 on Google Patents ↗ Look up on USPTO ↗