Live analysis

1,013,080

1,013,080 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.).

1,013,080 (one million thirteen thousand eighty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 19 × 31 × 43. Its proper divisors sum to 1,521,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7558.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,068 1,013,069 1,013,070 1,013,071 1,013,072 1,013,073 1,013,074 1,013,075 1,013,076 1,013,077 1,013,078 1,013,079 1,013,080 1,013,081 1,013,082 1,013,083 1,013,084 1,013,085 1,013,086 1,013,087 1,013,088 1,013,089 1,013,090 1,013,091 1,013,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 803,101
Square (n²): 1,026,331,086,400
Cube (n³): 1,039,755,497,010,112,000
Divisor count: 64
σ(n) — sum of divisors: 2,534,400
φ(n) — Euler's totient: 362,880
Sum of prime factors: 104

Primality

Prime factorization: 2 ³ × 5 × 19 × 31 × 43

Nearest primes: 1,013,063 (−17) · 1,013,143 (+63)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 31 · 38 · 40 · 43 · 62 · 76 · 86 · 95 · 124 · 152 · 155 · 172 · 190 · 215 · 248 · 310 · 344 · 380 · 430 · 589 · 620 · 760 · 817 · 860 · 1178 · 1240 · 1333 · 1634 · 1720 · 2356 · 2666 · 2945 · 3268 · 4085 · 4712 · 5332 · 5890 · 6536 · 6665 · 8170 · 10664 · 11780 · 13330 · 16340 · 23560 · 25327 · 26660 · 32680 · 50654 · 53320 · 101308 · 126635 · 202616 · 253270 · 506540 (half) · 1013080

Aliquot sum (sum of proper divisors): 1,521,320

Factor pairs (a × b = 1,013,080)

1 × 1013080

2 × 506540

4 × 253270

5 × 202616

8 × 126635

10 × 101308

19 × 53320

20 × 50654

31 × 32680

38 × 26660

40 × 25327

43 × 23560

62 × 16340

76 × 13330

86 × 11780

95 × 10664

124 × 8170

152 × 6665

155 × 6536

172 × 5890

190 × 5332

215 × 4712

248 × 4085

310 × 3268

344 × 2945

380 × 2666

430 × 2356

589 × 1720

620 × 1634

760 × 1333

817 × 1240

860 × 1178

First multiples

1,013,080 · 2,026,160 (double) · 3,039,240 · 4,052,320 · 5,065,400 · 6,078,480 · 7,091,560 · 8,104,640 · 9,117,720 · 10,130,800

Sums & aliquot sequence

As consecutive integers: 202,614 + 202,615 + 202,616 + 202,617 + 202,618 63,310 + 63,311 + … + 63,325 53,311 + 53,312 + … + 53,329 32,665 + 32,666 + … + 32,695

Aliquot sequence: 1,013,080 → 1,521,320 → 1,955,200 → 3,356,960 → 4,574,236 → 3,920,740 → 4,772,252 → 3,603,388 → 3,427,412 → 2,570,566 → 1,285,286 → 726,538 → 363,272 → 476,728 → 544,952 → 537,208 → 642,152 — unresolved within range

Continued fraction of √n

√1,013,080 = [1006; (1, 1, 12, 1, 4, 1, 12, 1, 1, 2012)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand eighty
Ordinal: 1013080th
Binary: 11110111010101011000
Octal: 3672530
Hexadecimal: 0xF7558
Base64: D3VY
One's complement: 4,293,954,215 (32-bit)
Scientific notation: 1.01308 × 10⁶
As a duration: 1,013,080 s = 11 days, 17 hours, 24 minutes, 40 seconds

In other bases

ternary (3) 1220110200111

quaternary (4) 3313111120

quinary (5) 224404310

senary (6) 33414104

septenary (7) 11416405

nonary (9) 1813614

undecimal (11) 632162

duodecimal (12) 40a334

tridecimal (13) 296173

tetradecimal (14) 1c52ac

pentadecimal (15) 15028a

As an angle

1,013,080° = 2,814 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千零八十
Chinese (financial): 壹佰零壹萬參仟零捌拾

In other modern scripts

Eastern Arabic ١٠١٣٠٨٠ Devanagari १०१३०८० Bengali ১০১৩০৮০ Tamil ௧௦௧௩௦௮௦ Thai ๑๐๑๓๐๘๐ Tibetan ༡༠༡༣༠༨༠ Khmer ១០១៣០៨០ Lao ໑໐໑໓໐໘໐ Burmese ၁၀၁၃၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013080, here are decompositions:

17 + 1013063 = 1013080
71 + 1013009 = 1013080
83 + 1012997 = 1013080
113 + 1012967 = 1013080
149 + 1012931 = 1013080
251 + 1012829 = 1013080
269 + 1012811 = 1013080
311 + 1012769 = 1013080

Showing the first eight; more decompositions exist.

Hex color

#0F7558

RGB(15, 117, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.88.

Address: 0.15.117.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.88

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3080-10-01 (MMDYYYY (US, single-digit day))
3080-01-10 (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 1,013,080 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 US1,013,080 on Google Patents ↗ Look up on USPTO ↗