Live analysis

470,016

470,016 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.).

470,016 (four hundred seventy thousand sixteen) is an even 6-digit number. It is a composite number with 88 divisors, and factors as 2¹⁰ × 3³ × 17. Its proper divisors sum to 1,003,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C00.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

470,004 470,005 470,006 470,007 470,008 470,009 470,010 470,011 470,012 470,013 470,014 470,015 470,016 470,017 470,018 470,019 470,020 470,021 470,022 470,023 470,024 470,025 470,026 470,027 470,028

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 610,074
Square (n²): 220,915,040,256
Cube (n³): 103,833,603,560,964,096
Divisor count: 88
σ(n) — sum of divisors: 1,473,840
φ(n) — Euler's totient: 147,456
Sum of prime factors: 46

Primality

Prime factorization: 2 ¹⁰ × 3 ³ × 17

Nearest primes: 469,993 (−23) · 470,021 (+5)

Divisors & multiples

All divisors (88)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 27 · 32 · 34 · 36 · 48 · 51 · 54 · 64 · 68 · 72 · 96 · 102 · 108 · 128 · 136 · 144 · 153 · 192 · 204 · 216 · 256 · 272 · 288 · 306 · 384 · 408 · 432 · 459 · 512 · 544 · 576 · 612 · 768 · 816 · 864 · 918 · 1024 · 1088 · 1152 · 1224 · 1536 · 1632 · 1728 · 1836 · 2176 · 2304 · 2448 · 3072 · 3264 · 3456 · 3672 · 4352 · 4608 · 4896 · 6528 · 6912 · 7344 · 8704 · 9216 · 9792 · 13056 · 13824 · 14688 · 17408 · 19584 · 26112 · 27648 · 29376 · 39168 · 52224 · 58752 · 78336 · 117504 · 156672 · 235008 (half) · 470016

Aliquot sum (sum of proper divisors): 1,003,824

Factor pairs (a × b = 470,016)

1 × 470016

2 × 235008

3 × 156672

4 × 117504

6 × 78336

8 × 58752

9 × 52224

12 × 39168

16 × 29376

17 × 27648

18 × 26112

24 × 19584

27 × 17408

32 × 14688

34 × 13824

36 × 13056

48 × 9792

51 × 9216

54 × 8704

64 × 7344

68 × 6912

72 × 6528

96 × 4896

102 × 4608

108 × 4352

128 × 3672

136 × 3456

144 × 3264

153 × 3072

192 × 2448

204 × 2304

216 × 2176

256 × 1836

272 × 1728

288 × 1632

306 × 1536

384 × 1224

408 × 1152

432 × 1088

459 × 1024

512 × 918

544 × 864

576 × 816

612 × 768

First multiples

470,016 · 940,032 (double) · 1,410,048 · 1,880,064 · 2,350,080 · 2,820,096 · 3,290,112 · 3,760,128 · 4,230,144 · 4,700,160

Sums & aliquot sequence

As consecutive integers: 156,671 + 156,672 + 156,673 52,220 + 52,221 + … + 52,228 27,640 + 27,641 + … + 27,656 17,395 + 17,396 + … + 17,421

Aliquot sequence: 470,016 → 1,003,824 → 1,805,892 → 2,791,260 → 5,970,108 → 7,960,172 → 7,380,580 → 8,118,680 → 10,148,440 → 13,121,240 → 19,341,400 → 30,499,160 → 38,124,040 → 48,626,960 → 64,430,908 → 49,682,252 → 37,560,484 — unresolved within range

Continued fraction of √n

√470,016 = [685; (1, 1, 2, 1, 2, 1, 6, 2, 4, 3, 4, 1, 9, 2, 1, 8, 1, 5, 2, 2, 1, 2, 2, 1, …)]

Representations

In words: four hundred seventy thousand sixteen
Ordinal: 470016th
Binary: 1110010110000000000
Octal: 1626000
Hexadecimal: 0x72C00
Base64: BywA
One's complement: 4,294,497,279 (32-bit)
Scientific notation: 4.70016 × 10⁵
As a duration: 470,016 s = 5 days, 10 hours, 33 minutes, 36 seconds

In other bases

ternary (3) 212212202000

quaternary (4) 1302300000

quinary (5) 110020031

senary (6) 14024000

septenary (7) 3665211

nonary (9) 785660

undecimal (11) 2a1148

duodecimal (12) 1a8000

tridecimal (13) 135c21

tetradecimal (14) c3408

pentadecimal (15) 943e6

As an angle

470,016° = 1,305 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοιϛʹ
Chinese: 四十七萬零一十六
Chinese (financial): 肆拾柒萬零壹拾陸

In other modern scripts

Eastern Arabic ٤٧٠٠١٦ Devanagari ४७००१६ Bengali ৪৭০০১৬ Tamil ௪௭௦௦௧௬ Thai ๔๗๐๐๑๖ Tibetan ༤༧༠༠༡༦ Khmer ៤៧០០១៦ Lao ໔໗໐໐໑໖ Burmese ၄၇၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470016, here are decompositions:

23 + 469993 = 470016
37 + 469979 = 470016
47 + 469969 = 470016
59 + 469957 = 470016
97 + 469919 = 470016
109 + 469907 = 470016
137 + 469879 = 470016
139 + 469877 = 470016

Showing the first eight; more decompositions exist.

Hex color

#072C00

RGB(7, 44, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.0.

Address: 0.7.44.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.44.0

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 470,016 and was likely granted around 1891.

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

Look up US470,016 on Google Patents ↗ Look up on USPTO ↗