Live analysis

990,420

990,420 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.).

990,420 (nine hundred ninety thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 971. Its proper divisors sum to 1,948,908, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1CD4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

990,408 990,409 990,410 990,411 990,412 990,413 990,414 990,415 990,416 990,417 990,418 990,419 990,420 990,421 990,422 990,423 990,424 990,425 990,426 990,427 990,428 990,429 990,430 990,431 990,432

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 24,099
Square (n²): 980,931,776,400
Cube (n³): 971,534,449,982,088,000
Divisor count: 48
σ(n) — sum of divisors: 2,939,328
φ(n) — Euler's totient: 248,320
Sum of prime factors: 1,000

Primality

Prime factorization: 2 ² × 3 × 5 × 17 × 971

Nearest primes: 990,397 (−23) · 990,463 (+43)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 30 · 34 · 51 · 60 · 68 · 85 · 102 · 170 · 204 · 255 · 340 · 510 · 971 · 1020 · 1942 · 2913 · 3884 · 4855 · 5826 · 9710 · 11652 · 14565 · 16507 · 19420 · 29130 · 33014 · 49521 · 58260 · 66028 · 82535 · 99042 · 165070 · 198084 · 247605 · 330140 · 495210 (half) · 990420

Aliquot sum (sum of proper divisors): 1,948,908

Factor pairs (a × b = 990,420)

1 × 990420

2 × 495210

3 × 330140

4 × 247605

5 × 198084

6 × 165070

10 × 99042

12 × 82535

15 × 66028

17 × 58260

20 × 49521

30 × 33014

34 × 29130

51 × 19420

60 × 16507

68 × 14565

85 × 11652

102 × 9710

170 × 5826

204 × 4855

255 × 3884

340 × 2913

510 × 1942

971 × 1020

First multiples

990,420 · 1,980,840 (double) · 2,971,260 · 3,961,680 · 4,952,100 · 5,942,520 · 6,932,940 · 7,923,360 · 8,913,780 · 9,904,200

Sums & aliquot sequence

As consecutive integers: 330,139 + 330,140 + 330,141 198,082 + 198,083 + 198,084 + 198,085 + 198,086 123,799 + 123,800 + … + 123,806 66,021 + 66,022 + … + 66,035

Aliquot sequence: 990,420 → 1,948,908 → 3,139,224 → 6,053,736 → 10,245,624 → 16,849,416 → 25,427,544 → 39,694,296 → 59,541,504 → 113,824,416 → 184,964,928 → 322,222,272 → 575,791,680 → 1,252,349,952 → 2,671,511,808 → 5,477,474,688 → 11,150,581,632 — keeps growing

Continued fraction of √n

√990,420 = [995; (5, 25, 1, 93, 1, 4, 1, 1, 9, 1, 7, 40, 2, 40, 7, 1, 9, 1, 1, 4, 1, 93, 1, 25, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety thousand four hundred twenty
Ordinal: 990420th
Binary: 11110001110011010100
Octal: 3616324
Hexadecimal: 0xF1CD4
Base64: DxzU
One's complement: 4,293,976,875 (32-bit)
Scientific notation: 9.9042 × 10⁵
As a duration: 990,420 s = 11 days, 11 hours, 7 minutes

In other bases

ternary (3) 1212022121020

quaternary (4) 3301303110

quinary (5) 223143140

senary (6) 33121140

septenary (7) 11263344

nonary (9) 1768536

undecimal (11) 617132

duodecimal (12) 3b91b0

tridecimal (13) 288a62

tetradecimal (14) 1bad24

pentadecimal (15) 1486d0

As an angle

990,420° = 2,751 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϡϟυκʹ
Chinese: 九十九萬零四百二十
Chinese (financial): 玖拾玖萬零肆佰貳拾

In other modern scripts

Eastern Arabic ٩٩٠٤٢٠ Devanagari ९९०४२० Bengali ৯৯০৪২০ Tamil ௯௯௦௪௨௦ Thai ๙๙๐๔๒๐ Tibetan ༩༩༠༤༢༠ Khmer ៩៩០៤២០ Lao ໙໙໐໔໒໐ Burmese ၉၉၀၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990420, here are decompositions:

23 + 990397 = 990420
31 + 990389 = 990420
37 + 990383 = 990420
43 + 990377 = 990420
59 + 990361 = 990420
61 + 990359 = 990420
71 + 990349 = 990420
89 + 990331 = 990420

Showing the first eight; more decompositions exist.

Hex color

#0F1CD4

RGB(15, 28, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.28.212.

Address: 0.15.28.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.28.212

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 990,420 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 US990,420 on Google Patents ↗ Look up on USPTO ↗