Live analysis

1,016,040

1,016,040 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.).

1,016,040 (one million sixteen thousand forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,467. Its proper divisors sum to 2,032,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80E8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,016,028 1,016,029 1,016,030 1,016,031 1,016,032 1,016,033 1,016,034 1,016,035 1,016,036 1,016,037 1,016,038 1,016,039 1,016,040 1,016,041 1,016,042 1,016,043 1,016,044 1,016,045 1,016,046 1,016,047 1,016,048 1,016,049 1,016,050 1,016,051 1,016,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 406,101
Recamán's sequence: a(365,911) = 1,016,040
Square (n²): 1,032,337,281,600
Cube (n³): 1,048,895,971,596,864,000
Divisor count: 32
σ(n) — sum of divisors: 3,048,480
φ(n) — Euler's totient: 270,912
Sum of prime factors: 8,481

Primality

Prime factorization: 2 ³ × 3 × 5 × 8467

Nearest primes: 1,016,033 (−7) · 1,016,051 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8467 · 16934 · 25401 · 33868 · 42335 · 50802 · 67736 · 84670 · 101604 · 127005 · 169340 · 203208 · 254010 · 338680 · 508020 (half) · 1016040

Aliquot sum (sum of proper divisors): 2,032,440

Factor pairs (a × b = 1,016,040)

1 × 1016040

2 × 508020

3 × 338680

4 × 254010

5 × 203208

6 × 169340

8 × 127005

10 × 101604

12 × 84670

15 × 67736

20 × 50802

24 × 42335

30 × 33868

40 × 25401

60 × 16934

120 × 8467

First multiples

1,016,040 · 2,032,080 (double) · 3,048,120 · 4,064,160 · 5,080,200 · 6,096,240 · 7,112,280 · 8,128,320 · 9,144,360 · 10,160,400

Sums & aliquot sequence

As consecutive integers: 338,679 + 338,680 + 338,681 203,206 + 203,207 + 203,208 + 203,209 + 203,210 67,729 + 67,730 + … + 67,743 63,495 + 63,496 + … + 63,510

Aliquot sequence: 1,016,040 → 2,032,440 → 4,065,240 → 8,779,560 → 18,712,920 → 40,734,600 → 85,544,520 → 172,843,320 → 391,616,520 → 783,233,400 → 1,661,364,600 → 4,329,825,600 → 9,875,626,304 → 10,177,068,160 — keeps growing

Continued fraction of √n

√1,016,040 = [1007; (1, 82, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand forty
Ordinal: 1016040th
Binary: 11111000000011101000
Octal: 3700350
Hexadecimal: 0xF80E8
Base64: D4Do
One's complement: 4,293,951,255 (32-bit)
Scientific notation: 1.01604 × 10⁶
As a duration: 1,016,040 s = 11 days, 18 hours, 14 minutes

In other bases

ternary (3) 1220121202010

quaternary (4) 3320003220

quinary (5) 230003130

senary (6) 33435520

septenary (7) 11431134

nonary (9) 1817663

undecimal (11) 634403

duodecimal (12) 40bba0

tridecimal (13) 29760c

tetradecimal (14) 1c63c4

pentadecimal (15) 1510b0

As an angle

1,016,040° = 2,822 × 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 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零一萬六千零四十
Chinese (financial): 壹佰零壹萬陸仟零肆拾

In other modern scripts

Eastern Arabic ١٠١٦٠٤٠ Devanagari १०१६०४० Bengali ১০১৬০৪০ Tamil ௧௦௧௬௦௪௦ Thai ๑๐๑๖๐๔๐ Tibetan ༡༠༡༦༠༤༠ Khmer ១០១៦០៤០ Lao ໑໐໑໖໐໔໐ Burmese ၁၀၁၆၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016040, here are decompositions:

7 + 1016033 = 1016040
13 + 1016027 = 1016040
17 + 1016023 = 1016040
29 + 1016011 = 1016040
31 + 1016009 = 1016040
59 + 1015981 = 1016040
73 + 1015967 = 1016040
127 + 1015913 = 1016040

Showing the first eight; more decompositions exist.

Hex color

#0F80E8

RGB(15, 128, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.232.

Address: 0.15.128.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 6040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6040-10-01 (MMDYYYY (US, single-digit day))
6040-01-10 (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 1,016,040 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 US1,016,040 on Google Patents ↗ Look up on USPTO ↗