Live analysis

1,011,040

1,011,040 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.).

1,011,040 (one million eleven thousand forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 71 × 89. Its proper divisors sum to 1,438,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D60.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,011,028 1,011,029 1,011,030 1,011,031 1,011,032 1,011,033 1,011,034 1,011,035 1,011,036 1,011,037 1,011,038 1,011,039 1,011,040 1,011,041 1,011,042 1,011,043 1,011,044 1,011,045 1,011,046 1,011,047 1,011,048 1,011,049 1,011,050 1,011,051 1,011,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 401,101
Recamán's sequence: a(360,055) = 1,011,040
Square (n²): 1,022,201,881,600
Cube (n³): 1,033,486,990,372,864,000
Divisor count: 48
σ(n) — sum of divisors: 2,449,440
φ(n) — Euler's totient: 394,240
Sum of prime factors: 175

Primality

Prime factorization: 2 ⁵ × 5 × 71 × 89

Nearest primes: 1,011,037 (−3) · 1,011,067 (+27)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 71 · 80 · 89 · 142 · 160 · 178 · 284 · 355 · 356 · 445 · 568 · 710 · 712 · 890 · 1136 · 1420 · 1424 · 1780 · 2272 · 2840 · 2848 · 3560 · 5680 · 6319 · 7120 · 11360 · 12638 · 14240 · 25276 · 31595 · 50552 · 63190 · 101104 · 126380 · 202208 · 252760 · 505520 (half) · 1011040

Aliquot sum (sum of proper divisors): 1,438,400

Factor pairs (a × b = 1,011,040)

1 × 1011040

2 × 505520

4 × 252760

5 × 202208

8 × 126380

10 × 101104

16 × 63190

20 × 50552

32 × 31595

40 × 25276

71 × 14240

80 × 12638

89 × 11360

142 × 7120

160 × 6319

178 × 5680

284 × 3560

355 × 2848

356 × 2840

445 × 2272

568 × 1780

710 × 1424

712 × 1420

890 × 1136

First multiples

1,011,040 · 2,022,080 (double) · 3,033,120 · 4,044,160 · 5,055,200 · 6,066,240 · 7,077,280 · 8,088,320 · 9,099,360 · 10,110,400

Sums & aliquot sequence

As consecutive integers: 202,206 + 202,207 + 202,208 + 202,209 + 202,210 15,766 + 15,767 + … + 15,829 14,205 + 14,206 + … + 14,275 11,316 + 11,317 + … + 11,404

Aliquot sequence: 1,011,040 → 1,438,400 → 2,341,120 → 3,545,600 → 5,270,614 → 2,746,874 → 1,690,426 → 852,794 → 482,086 → 353,834 → 237,526 → 122,258 → 61,132 → 59,828 → 44,878 → 26,042 → 14,458 — unresolved within range

Continued fraction of √n

√1,011,040 = [1005; (1, 1, 51, 15, 1, 1, 3, 12, 3, 1, 1, 15, 51, 1, 1, 2010)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million eleven thousand forty
Ordinal: 1011040th
Binary: 11110110110101100000
Octal: 3666540
Hexadecimal: 0xF6D60
Base64: D21g
One's complement: 4,293,956,255 (32-bit)
Scientific notation: 1.01104 × 10⁶
As a duration: 1,011,040 s = 11 days, 16 hours, 50 minutes, 40 seconds

In other bases

ternary (3) 1220100212221

quaternary (4) 3312311200

quinary (5) 224323130

senary (6) 33400424

septenary (7) 11410432

nonary (9) 1810787

undecimal (11) 630678

duodecimal (12) 409114

tridecimal (13) 295264

tetradecimal (14) 1c4652

pentadecimal (15) 14e87a

As an angle

1,011,040° = 2,808 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零一萬一千零四十
Chinese (financial): 壹佰零壹萬壹仟零肆拾

In other modern scripts

Eastern Arabic ١٠١١٠٤٠ Devanagari १०११०४० Bengali ১০১১০৪০ Tamil ௧௦௧௧௦௪௦ Thai ๑๐๑๑๐๔๐ Tibetan ༡༠༡༡༠༤༠ Khmer ១០១១០៤០ Lao ໑໐໑໑໐໔໐ Burmese ၁၀၁၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011040, here are decompositions:

3 + 1011037 = 1011040
11 + 1011029 = 1011040
47 + 1010993 = 1011040
59 + 1010981 = 1011040
83 + 1010957 = 1011040
137 + 1010903 = 1011040
179 + 1010861 = 1011040
197 + 1010843 = 1011040

Showing the first eight; more decompositions exist.

Hex color

#0F6D60

RGB(15, 109, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.96.

Address: 0.15.109.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.109.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 1040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

1040-10-01 (MMDYYYY (US, single-digit day))
1040-01-10 (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 1,011,040 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 US1,011,040 on Google Patents ↗ Look up on USPTO ↗