Live analysis

470,320

470,320 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.).

470,320 (four hundred seventy thousand three hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 5,879. Its proper divisors sum to 623,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D30.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

470,308 470,309 470,310 470,311 470,312 470,313 470,314 470,315 470,316 470,317 470,318 470,319 470,320 470,321 470,322 470,323 470,324 470,325 470,326 470,327 470,328 470,329 470,330 470,331 470,332

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 23,074
Square (n²): 221,200,902,400
Cube (n³): 104,035,208,416,768,000
Divisor count: 20
σ(n) — sum of divisors: 1,093,680
φ(n) — Euler's totient: 188,096
Sum of prime factors: 5,892

Primality

Prime factorization: 2 ⁴ × 5 × 5879

Nearest primes: 470,317 (−3) · 470,333 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 5879 · 11758 · 23516 · 29395 · 47032 · 58790 · 94064 · 117580 · 235160 (half) · 470320

Aliquot sum (sum of proper divisors): 623,360

Factor pairs (a × b = 470,320)

1 × 470320

2 × 235160

4 × 117580

5 × 94064

8 × 58790

10 × 47032

16 × 29395

20 × 23516

40 × 11758

80 × 5879

First multiples

470,320 · 940,640 (double) · 1,410,960 · 1,881,280 · 2,351,600 · 2,821,920 · 3,292,240 · 3,762,560 · 4,232,880 · 4,703,200

Sums & aliquot sequence

As consecutive integers: 94,062 + 94,063 + 94,064 + 94,065 + 94,066 14,682 + 14,683 + … + 14,713 2,860 + 2,861 + … + 3,019

Aliquot sequence: 470,320 → 623,360 → 872,848 → 918,332 → 688,756 → 522,384 → 827,232 → 1,656,480 → 4,875,360 → 12,688,032 → 26,019,168 → 54,620,832 → 109,243,680 → 331,728,096 → 663,458,208 → 1,345,735,776 → 3,317,997,984 — unresolved within range

Continued fraction of √n

√470,320 = [685; (1, 3, 1, 32, 1, 1, 1, 7, 1, 5, 1, 15, 2, 9, 24, 1, 4, 1, 43, 2, 2, 2, 1, 2, …)]

Representations

In words: four hundred seventy thousand three hundred twenty
Ordinal: 470320th
Binary: 1110010110100110000
Octal: 1626460
Hexadecimal: 0x72D30
Base64: By0w
One's complement: 4,294,496,975 (32-bit)
Scientific notation: 4.7032 × 10⁵
As a duration: 470,320 s = 5 days, 10 hours, 38 minutes, 40 seconds

In other bases

ternary (3) 212220011021

quaternary (4) 1302310300

quinary (5) 110022240

senary (6) 14025224

septenary (7) 3666124

nonary (9) 786137

undecimal (11) 2a13a4

duodecimal (12) 1a8214

tridecimal (13) 1360c6

tetradecimal (14) c3584

pentadecimal (15) 9454a

As an angle

470,320° = 1,306 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοτκʹ
Chinese: 四十七萬零三百二十
Chinese (financial): 肆拾柒萬零參佰貳拾

In other modern scripts

Eastern Arabic ٤٧٠٣٢٠ Devanagari ४७०३२० Bengali ৪৭০৩২০ Tamil ௪௭௦௩௨௦ Thai ๔๗๐๓๒๐ Tibetan ༤༧༠༣༢༠ Khmer ៤៧០៣២០ Lao ໔໗໐໓໒໐ Burmese ၄၇၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470320, here are decompositions:

3 + 470317 = 470320
17 + 470303 = 470320
23 + 470297 = 470320
41 + 470279 = 470320
101 + 470219 = 470320
107 + 470213 = 470320
113 + 470207 = 470320
167 + 470153 = 470320

Showing the first eight; more decompositions exist.

Hex color

#072D30

RGB(7, 45, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.48.

Address: 0.7.45.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.45.48

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 470,320 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 US470,320 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470320 first appears in π at position 277,050 of the decimal expansion (the 277,050ordinal-suffix:th 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 470320 on Pi Search ↗