Live analysis

490,420

490,420 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.).

490,420 (four hundred ninety thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 31 × 113. Its proper divisors sum to 735,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77BB4.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

490,408 490,409 490,410 490,411 490,412 490,413 490,414 490,415 490,416 490,417 490,418 490,419 490,420 490,421 490,422 490,423 490,424 490,425 490,426 490,427 490,428 490,429 490,430 490,431 490,432

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 24,094
Square (n²): 240,511,776,400
Cube (n³): 117,951,785,382,088,000
Divisor count: 48
σ(n) — sum of divisors: 1,225,728
φ(n) — Euler's totient: 161,280
Sum of prime factors: 160

Primality

Prime factorization: 2 ² × 5 × 7 × 31 × 113

Nearest primes: 490,417 (−3) · 490,421 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 31 · 35 · 62 · 70 · 113 · 124 · 140 · 155 · 217 · 226 · 310 · 434 · 452 · 565 · 620 · 791 · 868 · 1085 · 1130 · 1582 · 2170 · 2260 · 3164 · 3503 · 3955 · 4340 · 7006 · 7910 · 14012 · 15820 · 17515 · 24521 · 35030 · 49042 · 70060 · 98084 · 122605 · 245210 (half) · 490420

Aliquot sum (sum of proper divisors): 735,308

Factor pairs (a × b = 490,420)

1 × 490420

2 × 245210

4 × 122605

5 × 98084

7 × 70060

10 × 49042

14 × 35030

20 × 24521

28 × 17515

31 × 15820

35 × 14012

62 × 7910

70 × 7006

113 × 4340

124 × 3955

140 × 3503

155 × 3164

217 × 2260

226 × 2170

310 × 1582

434 × 1130

452 × 1085

565 × 868

620 × 791

First multiples

490,420 · 980,840 (double) · 1,471,260 · 1,961,680 · 2,452,100 · 2,942,520 · 3,432,940 · 3,923,360 · 4,413,780 · 4,904,200

Sums & aliquot sequence

As consecutive integers: 98,082 + 98,083 + 98,084 + 98,085 + 98,086 70,057 + 70,058 + … + 70,063 61,299 + 61,300 + … + 61,306 15,805 + 15,806 + … + 15,835

Aliquot sequence: 490,420 → 735,308 → 735,364 → 735,420 → 1,780,548 → 3,638,460 → 8,005,956 → 13,498,044 → 24,703,812 → 50,372,028 → 95,147,892 → 189,278,348 → 189,982,324 → 190,497,356 → 202,789,300 → 302,456,140 → 427,303,604 — unresolved within range

Continued fraction of √n

√490,420 = [700; (3, 2, 1, 154, 1, 11, 1, 5, 1, 16, 2, 3, 2, 1, 1, 6, 3, 1, 1, 1, 1, 1, 9, 2, …)]

Representations

In words: four hundred ninety thousand four hundred twenty
Ordinal: 490420th
Binary: 1110111101110110100
Octal: 1675664
Hexadecimal: 0x77BB4
Base64: B3u0
One's complement: 4,294,476,875 (32-bit)
Scientific notation: 4.9042 × 10⁵
As a duration: 490,420 s = 5 days, 16 hours, 13 minutes, 40 seconds

In other bases

ternary (3) 220220201201

quaternary (4) 1313232310

quinary (5) 111143140

senary (6) 14302244

septenary (7) 4111540

nonary (9) 826651

undecimal (11) 305507

duodecimal (12) 1b7984

tridecimal (13) 1422b8

tetradecimal (14) caa20

pentadecimal (15) 9a49a

As an angle

490,420° = 1,362 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υϟυκʹ
Chinese: 四十九萬零四百二十
Chinese (financial): 肆拾玖萬零肆佰貳拾

In other modern scripts

Eastern Arabic ٤٩٠٤٢٠ Devanagari ४९०४२० Bengali ৪৯০৪২০ Tamil ௪௯௦௪௨௦ Thai ๔๙๐๔๒๐ Tibetan ༤༩༠༤༢༠ Khmer ៤៩០៤២០ Lao ໔໙໐໔໒໐ Burmese ၄၉၀၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490420, here are decompositions:

3 + 490417 = 490420
53 + 490367 = 490420
107 + 490313 = 490420
137 + 490283 = 490420
149 + 490271 = 490420
173 + 490247 = 490420
179 + 490241 = 490420
197 + 490223 = 490420

Showing the first eight; more decompositions exist.

Hex color

#077BB4

RGB(7, 123, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.123.180.

Address: 0.7.123.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.123.180

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 490,420 and was likely granted around 1892.

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

Look up US490,420 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 490420 first appears in π at position 272,023 of the decimal expansion (the 272,023ordinal-suffix:rd 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 490420 on Pi Search ↗