Live analysis

980,720

980,720 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.).

980,720 (nine hundred eighty thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 13 × 23 × 41. Its proper divisors sum to 1,644,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF6F0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Self Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

980,708 980,709 980,710 980,711 980,712 980,713 980,714 980,715 980,716 980,717 980,718 980,719 980,720 980,721 980,722 980,723 980,724 980,725 980,726 980,727 980,728 980,729 980,730 980,731 980,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 27,089
Square (n²): 961,811,718,400
Cube (n³): 943,267,988,469,248,000
Divisor count: 80
σ(n) — sum of divisors: 2,624,832
φ(n) — Euler's totient: 337,920
Sum of prime factors: 90

Primality

Prime factorization: 2 ⁴ × 5 × 13 × 23 × 41

Nearest primes: 980,719 (−1) · 980,729 (+9)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 23 · 26 · 40 · 41 · 46 · 52 · 65 · 80 · 82 · 92 · 104 · 115 · 130 · 164 · 184 · 205 · 208 · 230 · 260 · 299 · 328 · 368 · 410 · 460 · 520 · 533 · 598 · 656 · 820 · 920 · 943 · 1040 · 1066 · 1196 · 1495 · 1640 · 1840 · 1886 · 2132 · 2392 · 2665 · 2990 · 3280 · 3772 · 4264 · 4715 · 4784 · 5330 · 5980 · 7544 · 8528 · 9430 · 10660 · 11960 · 12259 · 15088 · 18860 · 21320 · 23920 · 24518 · 37720 · 42640 · 49036 · 61295 · 75440 · 98072 · 122590 · 196144 · 245180 · 490360 (half) · 980720

Aliquot sum (sum of proper divisors): 1,644,112

Factor pairs (a × b = 980,720)

1 × 980720

2 × 490360

4 × 245180

5 × 196144

8 × 122590

10 × 98072

13 × 75440

16 × 61295

20 × 49036

23 × 42640

26 × 37720

40 × 24518

41 × 23920

46 × 21320

52 × 18860

65 × 15088

80 × 12259

82 × 11960

92 × 10660

104 × 9430

115 × 8528

130 × 7544

164 × 5980

184 × 5330

205 × 4784

208 × 4715

230 × 4264

260 × 3772

299 × 3280

328 × 2990

368 × 2665

410 × 2392

460 × 2132

520 × 1886

533 × 1840

598 × 1640

656 × 1495

820 × 1196

920 × 1066

943 × 1040

First multiples

980,720 · 1,961,440 (double) · 2,942,160 · 3,922,880 · 4,903,600 · 5,884,320 · 6,865,040 · 7,845,760 · 8,826,480 · 9,807,200

Sums & aliquot sequence

As consecutive integers: 196,142 + 196,143 + 196,144 + 196,145 + 196,146 75,434 + 75,435 + … + 75,446 42,629 + 42,630 + … + 42,651 30,632 + 30,633 + … + 30,663

Aliquot sequence: 980,720 → 1,644,112 → 1,563,024 → 2,474,912 → 2,968,288 → 3,351,872 → 3,390,304 → 3,413,696 → 4,565,968 → 5,085,200 → 7,132,954 → 3,726,374 → 1,883,146 → 941,576 → 872,164 → 736,604 → 669,724 — unresolved within range

Continued fraction of √n

√980,720 = [990; (3, 5, 6, 1, 1, 8, 1, 15, 2, 8, 1, 122, 1, 8, 2, 15, 1, 8, 1, 1, 6, 5, 3, 1980)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty thousand seven hundred twenty
Ordinal: 980720th
Binary: 11101111011011110000
Octal: 3573360
Hexadecimal: 0xEF6F0
Base64: Dvbw
One's complement: 4,293,986,575 (32-bit)
Scientific notation: 9.8072 × 10⁵
As a duration: 980,720 s = 11 days, 8 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 1211211021222

quaternary (4) 3233123300

quinary (5) 222340340

senary (6) 33004212

septenary (7) 11223146

nonary (9) 1754258

undecimal (11) 60a914

duodecimal (12) 3b3668

tridecimal (13) 284510

tetradecimal (14) 1b7596

pentadecimal (15) 1458b5

As an angle

980,720° = 2,724 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϡπψκʹ
Chinese: 九十八萬零七百二十
Chinese (financial): 玖拾捌萬零柒佰貳拾

In other modern scripts

Eastern Arabic ٩٨٠٧٢٠ Devanagari ९८०७२० Bengali ৯৮০৭২০ Tamil ௯௮௦௭௨௦ Thai ๙๘๐๗๒๐ Tibetan ༩༨༠༧༢༠ Khmer ៩៨០៧២០ Lao ໙໘໐໗໒໐ Burmese ၉၈၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980720, here are decompositions:

3 + 980717 = 980720
31 + 980689 = 980720
43 + 980677 = 980720
79 + 980641 = 980720
127 + 980593 = 980720
163 + 980557 = 980720
229 + 980491 = 980720
271 + 980449 = 980720

Showing the first eight; more decompositions exist.

Hex color

#0EF6F0

RGB(14, 246, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.246.240.

Address: 0.14.246.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.246.240

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 980,720 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 US980,720 on Google Patents ↗ Look up on USPTO ↗