Live analysis

980,040

980,040 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.).

980,040 (nine hundred eighty thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,167. Its proper divisors sum to 1,960,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF448.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

980,028 980,029 980,030 980,031 980,032 980,033 980,034 980,035 980,036 980,037 980,038 980,039 980,040 980,041 980,042 980,043 980,044 980,045 980,046 980,047 980,048 980,049 980,050 980,051 980,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 40,089
Square (n²): 960,478,401,600
Cube (n³): 941,307,252,704,064,000
Divisor count: 32
σ(n) — sum of divisors: 2,940,480
φ(n) — Euler's totient: 261,312
Sum of prime factors: 8,181

Primality

Prime factorization: 2 ³ × 3 × 5 × 8167

Nearest primes: 980,027 (−13) · 980,047 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8167 · 16334 · 24501 · 32668 · 40835 · 49002 · 65336 · 81670 · 98004 · 122505 · 163340 · 196008 · 245010 · 326680 · 490020 (half) · 980040

Aliquot sum (sum of proper divisors): 1,960,440

Factor pairs (a × b = 980,040)

1 × 980040

2 × 490020

3 × 326680

4 × 245010

5 × 196008

6 × 163340

8 × 122505

10 × 98004

12 × 81670

15 × 65336

20 × 49002

24 × 40835

30 × 32668

40 × 24501

60 × 16334

120 × 8167

First multiples

980,040 · 1,960,080 (double) · 2,940,120 · 3,920,160 · 4,900,200 · 5,880,240 · 6,860,280 · 7,840,320 · 8,820,360 · 9,800,400

Sums & aliquot sequence

As consecutive integers: 326,679 + 326,680 + 326,681 196,006 + 196,007 + 196,008 + 196,009 + 196,010 65,329 + 65,330 + … + 65,343 61,245 + 61,246 + … + 61,260

Aliquot sequence: 980,040 → 1,960,440 → 4,474,200 → 9,397,680 → 19,735,872 → 36,505,824 → 59,322,216 → 89,748,024 → 144,834,576 → 239,438,448 → 446,257,992 → 669,387,048 → 1,219,187,352 → 1,833,742,248 → 3,107,628,312 → 4,661,442,528 → 7,589,305,632 — unresolved within range

Continued fraction of √n

√980,040 = [989; (1, 31, 1, 1978)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty thousand forty
Ordinal: 980040th
Binary: 11101111010001001000
Octal: 3572110
Hexadecimal: 0xEF448
Base64: DvRI
One's complement: 4,293,987,255 (32-bit)
Scientific notation: 9.8004 × 10⁵
As a duration: 980,040 s = 11 days, 8 hours, 14 minutes

In other bases

ternary (3) 1211210100210

quaternary (4) 3233101020

quinary (5) 222330130

senary (6) 33001120

septenary (7) 11221155

nonary (9) 1753323

undecimal (11) 60a356

duodecimal (12) 3b31a0

tridecimal (13) 284109

tetradecimal (14) 1b722c

pentadecimal (15) 1455b0

As an angle

980,040° = 2,722 × 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 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡπμʹ
Chinese: 九十八萬零四十
Chinese (financial): 玖拾捌萬零肆拾

In other modern scripts

Eastern Arabic ٩٨٠٠٤٠ Devanagari ९८००४० Bengali ৯৮০০৪০ Tamil ௯௮௦௦௪௦ Thai ๙๘๐๐๔๐ Tibetan ༩༨༠༠༤༠ Khmer ៩៨០០៤០ Lao ໙໘໐໐໔໐ Burmese ၉၈၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980040, here are decompositions:

13 + 980027 = 980040
53 + 979987 = 980040
71 + 979969 = 980040
151 + 979889 = 980040
157 + 979883 = 980040
167 + 979873 = 980040
233 + 979807 = 980040
283 + 979757 = 980040

Showing the first eight; more decompositions exist.

Hex color

#0EF448

RGB(14, 244, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.244.72.

Address: 0.14.244.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.244.72

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

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 980,040 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US980,040 on Google Patents ↗ Look up on USPTO ↗