Live analysis

1,016,080

1,016,080 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.).

1,016,080 (one million sixteen thousand eighty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 977. Its proper divisors sum to 1,530,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8110.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,016,068 1,016,069 1,016,070 1,016,071 1,016,072 1,016,073 1,016,074 1,016,075 1,016,076 1,016,077 1,016,078 1,016,079 1,016,080 1,016,081 1,016,082 1,016,083 1,016,084 1,016,085 1,016,086 1,016,087 1,016,088 1,016,089 1,016,090 1,016,091 1,016,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 806,101
Flips to (rotate 180°): 809,101
Recamán's sequence: a(365,831) = 1,016,080
Square (n²): 1,032,418,566,400
Cube (n³): 1,049,019,856,947,712,000
Divisor count: 40
σ(n) — sum of divisors: 2,546,712
φ(n) — Euler's totient: 374,784
Sum of prime factors: 1,003

Primality

Prime factorization: 2 ⁴ × 5 × 13 × 977

Nearest primes: 1,016,069 (−11) · 1,016,083 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 104 · 130 · 208 · 260 · 520 · 977 · 1040 · 1954 · 3908 · 4885 · 7816 · 9770 · 12701 · 15632 · 19540 · 25402 · 39080 · 50804 · 63505 · 78160 · 101608 · 127010 · 203216 · 254020 · 508040 (half) · 1016080

Aliquot sum (sum of proper divisors): 1,530,632

Factor pairs (a × b = 1,016,080)

1 × 1016080

2 × 508040

4 × 254020

5 × 203216

8 × 127010

10 × 101608

13 × 78160

16 × 63505

20 × 50804

26 × 39080

40 × 25402

52 × 19540

65 × 15632

80 × 12701

104 × 9770

130 × 7816

208 × 4885

260 × 3908

520 × 1954

977 × 1040

First multiples

1,016,080 · 2,032,160 (double) · 3,048,240 · 4,064,320 · 5,080,400 · 6,096,480 · 7,112,560 · 8,128,640 · 9,144,720 · 10,160,800

Sums & aliquot sequence

As a sum of two squares: 4² + 1,008² = 252² + 976² = 384² + 932² = 608² + 804²

As consecutive integers: 203,214 + 203,215 + 203,216 + 203,217 + 203,218 78,154 + 78,155 + … + 78,166 31,737 + 31,738 + … + 31,768 15,600 + 15,601 + … + 15,664

Aliquot sequence: 1,016,080 → 1,530,632 → 1,353,508 → 1,197,432 → 2,045,808 → 3,680,016 → 5,826,816 → 11,609,526 → 12,619,338 → 14,104,182 → 14,104,194 → 19,011,966 → 19,080,834 → 21,325,854 → 28,751,586 → 31,028,574 → 31,028,586 — unresolved within range

Continued fraction of √n

√1,016,080 = [1008; (126, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand eighty
Ordinal: 1016080th
Binary: 11111000000100010000
Octal: 3700420
Hexadecimal: 0xF8110
Base64: D4EQ
One's complement: 4,293,951,215 (32-bit)
Scientific notation: 1.01608 × 10⁶
As a duration: 1,016,080 s = 11 days, 18 hours, 14 minutes, 40 seconds

In other bases

ternary (3) 1220121210121

quaternary (4) 3320010100

quinary (5) 230003310

senary (6) 33440024

septenary (7) 11431222

nonary (9) 1817717

undecimal (11) 63443a

duodecimal (12) 410014

tridecimal (13) 297640

tetradecimal (14) 1c6412

pentadecimal (15) 1510da

Palindromic in base 12

As an angle

1,016,080° = 2,822 × 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 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬六千零八十
Chinese (financial): 壹佰零壹萬陸仟零捌拾

In other modern scripts

Eastern Arabic ١٠١٦٠٨٠ Devanagari १०१६०८० Bengali ১০১৬০৮০ Tamil ௧௦௧௬௦௮௦ Thai ๑๐๑๖๐๘๐ Tibetan ༡༠༡༦༠༨༠ Khmer ១០១៦០៨០ Lao ໑໐໑໖໐໘໐ Burmese ၁၀၁၆၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016080, here are decompositions:

11 + 1016069 = 1016080
29 + 1016051 = 1016080
47 + 1016033 = 1016080
53 + 1016027 = 1016080
71 + 1016009 = 1016080
89 + 1015991 = 1016080
113 + 1015967 = 1016080
167 + 1015913 = 1016080

Showing the first eight; more decompositions exist.

Hex color

#0F8110

RGB(15, 129, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.16.

Address: 0.15.129.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6080-10-01 (MMDYYYY (US, single-digit day))
6080-01-10 (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 1,016,080 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 US1,016,080 on Google Patents ↗ Look up on USPTO ↗