470,820
470,820 is a composite number, even.
470,820 (four hundred seventy thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 19 × 59. Its proper divisors sum to 1,141,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72F24.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 28,074
- Recamán's sequence
- a(135,736) = 470,820
- Square (n²)
- 221,671,472,400
- Cube (n³)
- 104,367,362,635,368,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,612,800
- φ(n) — Euler's totient
- 100,224
- Sum of prime factors
- 97
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 19 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√470,820 = [686; (6, 7, 1, 20, 1, 1, 3, 2, 1, 10, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 22, 1, 1, 1, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy thousand eight hundred twenty
- Ordinal
- 470820th
- Binary
- 1110010111100100100
- Octal
- 1627444
- Hexadecimal
- 0x72F24
- Base64
- By8k
- One's complement
- 4,294,496,475 (32-bit)
- Scientific notation
- 4.7082 × 10⁵
- As a duration
- 470,820 s = 5 days, 10 hours, 47 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοωκʹ
- Chinese
- 四十七萬零八百二十
- Chinese (financial)
- 肆拾柒萬零捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470820, here are decompositions:
- 29 + 470791 = 470820
- 37 + 470783 = 470820
- 41 + 470779 = 470820
- 71 + 470749 = 470820
- 89 + 470731 = 470820
- 101 + 470719 = 470820
- 109 + 470711 = 470820
- 131 + 470689 = 470820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.47.36.
- Address
- 0.7.47.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.47.36
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 470,820 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.