Live analysis

990,720

990,720 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.).

990,720 (nine hundred ninety thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁹ × 3² × 5 × 43. Its proper divisors sum to 2,520,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1E00.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

990,708 990,709 990,710 990,711 990,712 990,713 990,714 990,715 990,716 990,717 990,718 990,719 990,720 990,721 990,722 990,723 990,724 990,725 990,726 990,727 990,728 990,729 990,730 990,731 990,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 27,099
Square (n²): 981,526,118,400
Cube (n³): 972,417,556,021,248,000
Divisor count: 120
σ(n) — sum of divisors: 3,510,936
φ(n) — Euler's totient: 258,048
Sum of prime factors: 72

Primality

Prime factorization: 2 ⁹ × 3 ² × 5 × 43

Nearest primes: 990,719 (−1) · 990,733 (+13)

Divisors & multiples

All divisors (120)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 43 · 45 · 48 · 60 · 64 · 72 · 80 · 86 · 90 · 96 · 120 · 128 · 129 · 144 · 160 · 172 · 180 · 192 · 215 · 240 · 256 · 258 · 288 · 320 · 344 · 360 · 384 · 387 · 430 · 480 · 512 · 516 · 576 · 640 · 645 · 688 · 720 · 768 · 774 · 860 · 960 · 1032 · 1152 · 1280 · 1290 · 1376 · 1440 · 1536 · 1548 · 1720 · 1920 · 1935 · 2064 · 2304 · 2560 · 2580 · 2752 · 2880 · 3096 · 3440 · 3840 · 3870 · 4128 · 4608 · 5160 · 5504 · 5760 · 6192 · 6880 · 7680 · 7740 · 8256 · 10320 · 11008 · 11520 · 12384 · 13760 · 15480 · 16512 · 20640 · 22016 · 23040 · 24768 · 27520 · 30960 · 33024 · 41280 · 49536 · 55040 · 61920 · 66048 · 82560 · 99072 · 110080 · 123840 · 165120 · 198144 · 247680 · 330240 · 495360 (half) · 990720

Aliquot sum (sum of proper divisors): 2,520,216

Factor pairs (a × b = 990,720)

1 × 990720

2 × 495360

3 × 330240

4 × 247680

5 × 198144

6 × 165120

8 × 123840

9 × 110080

10 × 99072

12 × 82560

15 × 66048

16 × 61920

18 × 55040

20 × 49536

24 × 41280

30 × 33024

32 × 30960

36 × 27520

40 × 24768

43 × 23040

45 × 22016

48 × 20640

60 × 16512

64 × 15480

72 × 13760

80 × 12384

86 × 11520

90 × 11008

96 × 10320

120 × 8256

128 × 7740

129 × 7680

144 × 6880

160 × 6192

172 × 5760

180 × 5504

192 × 5160

215 × 4608

240 × 4128

256 × 3870

258 × 3840

288 × 3440

320 × 3096

344 × 2880

360 × 2752

384 × 2580

387 × 2560

430 × 2304

480 × 2064

512 × 1935

516 × 1920

576 × 1720

640 × 1548

645 × 1536

688 × 1440

720 × 1376

768 × 1290

774 × 1280

860 × 1152

960 × 1032

First multiples

990,720 · 1,981,440 (double) · 2,972,160 · 3,962,880 · 4,953,600 · 5,944,320 · 6,935,040 · 7,925,760 · 8,916,480 · 9,907,200

Sums & aliquot sequence

As consecutive integers: 330,239 + 330,240 + 330,241 198,142 + 198,143 + 198,144 + 198,145 + 198,146 110,076 + 110,077 + … + 110,084 66,041 + 66,042 + … + 66,055

Aliquot sequence: 990,720 → 2,520,216 → 5,061,384 → 8,646,726 → 10,219,002 → 10,367,718 → 10,508,682 → 10,823,190 → 18,863,850 → 28,642,038 → 31,132,938 → 33,840,438 → 37,821,882 → 49,730,118 → 49,730,130 → 82,731,654 → 100,022,346 — unresolved within range

Continued fraction of √n

√990,720 = [995; (2, 1, 6, 2, 1, 11, 10, 2, 1, 30, 2, 2, 1, 15, 1, 2, 1, 4, 1, 1, 1, 5, 2, 123, …)]

Representations

In words: nine hundred ninety thousand seven hundred twenty
Ordinal: 990720th
Binary: 11110001111000000000
Octal: 3617000
Hexadecimal: 0xF1E00
Base64: Dx4A
One's complement: 4,293,976,575 (32-bit)
Scientific notation: 9.9072 × 10⁵
As a duration: 990,720 s = 11 days, 11 hours, 12 minutes

In other bases

ternary (3) 1212100000100

quaternary (4) 3301320000

quinary (5) 223200340

senary (6) 33122400

septenary (7) 11264253

nonary (9) 1770010

undecimal (11) 617385

duodecimal (12) 3b9400

tridecimal (13) 288c33

tetradecimal (14) 1bb09a

pentadecimal (15) 148830

As an angle

990,720° = 2,752 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϡϟψκʹ
Chinese: 九十九萬零七百二十
Chinese (financial): 玖拾玖萬零柒佰貳拾

In other modern scripts

Eastern Arabic ٩٩٠٧٢٠ Devanagari ९९०७२० Bengali ৯৯০৭২০ Tamil ௯௯௦௭௨௦ Thai ๙๙๐๗๒๐ Tibetan ༩༩༠༧༢༠ Khmer ៩៩០៧២០ Lao ໙໙໐໗໒໐ Burmese ၉၉၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990720, here are decompositions:

13 + 990707 = 990720
47 + 990673 = 990720
83 + 990637 = 990720
89 + 990631 = 990720
127 + 990593 = 990720
131 + 990589 = 990720
173 + 990547 = 990720
191 + 990529 = 990720

Showing the first eight; more decompositions exist.

Hex color

#0F1E00

RGB(15, 30, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.30.0.

Address: 0.15.30.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.30.0

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 990,720 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 US990,720 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 990720 first appears in π at position 120,282 of the decimal expansion (the 120,282ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 990720 on Pi Search ↗