Live analysis

1,013,480

1,013,480 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.).

1,013,480 (one million thirteen thousand four hundred eighty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 1,949. Its proper divisors sum to 1,443,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76E8.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,468 1,013,469 1,013,470 1,013,471 1,013,472 1,013,473 1,013,474 1,013,475 1,013,476 1,013,477 1,013,478 1,013,479 1,013,480 1,013,481 1,013,482 1,013,483 1,013,484 1,013,485 1,013,486 1,013,487 1,013,488 1,013,489 1,013,490 1,013,491 1,013,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 843,101
Square (n²): 1,027,141,710,400
Cube (n³): 1,040,987,580,656,192,000
Divisor count: 32
σ(n) — sum of divisors: 2,457,000
φ(n) — Euler's totient: 374,016
Sum of prime factors: 1,973

Primality

Prime factorization: 2 ³ × 5 × 13 × 1949

Nearest primes: 1,013,477 (−3) · 1,013,501 (+21)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 260 · 520 · 1949 · 3898 · 7796 · 9745 · 15592 · 19490 · 25337 · 38980 · 50674 · 77960 · 101348 · 126685 · 202696 · 253370 · 506740 (half) · 1013480

Aliquot sum (sum of proper divisors): 1,443,520

Factor pairs (a × b = 1,013,480)

1 × 1013480

2 × 506740

4 × 253370

5 × 202696

8 × 126685

10 × 101348

13 × 77960

20 × 50674

26 × 38980

40 × 25337

52 × 19490

65 × 15592

104 × 9745

130 × 7796

260 × 3898

520 × 1949

First multiples

1,013,480 · 2,026,960 (double) · 3,040,440 · 4,053,920 · 5,067,400 · 6,080,880 · 7,094,360 · 8,107,840 · 9,121,320 · 10,134,800

Sums & aliquot sequence

As a sum of two squares: 38² + 1,006² = 422² + 914² = 478² + 886² = 634² + 782²

As consecutive integers: 202,694 + 202,695 + 202,696 + 202,697 + 202,698 77,954 + 77,955 + … + 77,966 63,335 + 63,336 + … + 63,350 15,560 + 15,561 + … + 15,624

Aliquot sequence: 1,013,480 → 1,443,520 → 2,268,944 → 2,170,876 → 1,628,164 → 1,269,836 → 952,384 → 1,022,720 → 1,626,304 → 1,601,020 → 1,761,164 → 1,345,324 → 1,036,076 → 777,064 → 692,636 → 742,084 → 830,396 — unresolved within range

Continued fraction of √n

√1,013,480 = [1006; (1, 2, 1, 1, 5, 1, 9, 3, 1, 2, 2, 1, 1, 2, 20, 1, 4, 5, 10, 2, 1, 6, 3, 2, …)]

Representations

In words: one million thirteen thousand four hundred eighty
Ordinal: 1013480th
Binary: 11110111011011101000
Octal: 3673350
Hexadecimal: 0xF76E8
Base64: D3bo
One's complement: 4,293,953,815 (32-bit)
Scientific notation: 1.01348 × 10⁶
As a duration: 1,013,480 s = 11 days, 17 hours, 31 minutes, 20 seconds

In other bases

ternary (3) 1220111020022

quaternary (4) 3313123220

quinary (5) 224412410

senary (6) 33420012

septenary (7) 11420516

nonary (9) 1814208

undecimal (11) 632496

duodecimal (12) 40a608

tridecimal (13) 2963c0

tetradecimal (14) 1c54b6

pentadecimal (15) 150455

As an angle

1,013,480° = 2,815 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千四百八十
Chinese (financial): 壹佰零壹萬參仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠١٣٤٨٠ Devanagari १०१३४८० Bengali ১০১৩৪৮০ Tamil ௧௦௧௩௪௮௦ Thai ๑๐๑๓๔๘๐ Tibetan ༡༠༡༣༤༨༠ Khmer ១០១៣៤៨០ Lao ໑໐໑໓໔໘໐ Burmese ၁၀၁၃၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013480, here are decompositions:

3 + 1013477 = 1013480
79 + 1013401 = 1013480
103 + 1013377 = 1013480
151 + 1013329 = 1013480
241 + 1013239 = 1013480
277 + 1013203 = 1013480
283 + 1013197 = 1013480
337 + 1013143 = 1013480

Showing the first eight; more decompositions exist.

Hex color

#0F76E8

RGB(15, 118, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.232.

Address: 0.15.118.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3480-10-01 (MMDYYYY (US, single-digit day))
3480-01-10 (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 1,013,480 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 US1,013,480 on Google Patents ↗ Look up on USPTO ↗