470,840
470,840 is a composite number, even.
470,840 (four hundred seventy thousand eight hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 79 × 149. Its proper divisors sum to 609,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72F38.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 48,074
- Recamán's sequence
- a(135,776) = 470,840
- Square (n²)
- 221,690,305,600
- Cube (n³)
- 104,380,663,488,704,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,080,000
- φ(n) — Euler's totient
- 184,704
- Sum of prime factors
- 239
Primality
Prime factorization: 2 3 × 5 × 79 × 149
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√470,840 = [686; (5, 1, 1, 1, 1, 1, 11, 4, 1, 3, 1, 17, 3, 1, 3, 3, 1, 1, 6, 1, 1, 1, 1, 1, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy thousand eight hundred forty
- Ordinal
- 470840th
- Binary
- 1110010111100111000
- Octal
- 1627470
- Hexadecimal
- 0x72F38
- Base64
- By84
- One's complement
- 4,294,496,455 (32-bit)
- Scientific notation
- 4.7084 × 10⁵
- As a duration
- 470,840 s = 5 days, 10 hours, 47 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοωμʹ
- Chinese
- 四十七萬零八百四十
- Chinese (financial)
- 肆拾柒萬零捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470840, here are decompositions:
- 3 + 470837 = 470840
- 61 + 470779 = 470840
- 109 + 470731 = 470840
- 151 + 470689 = 470840
- 193 + 470647 = 470840
- 241 + 470599 = 470840
- 367 + 470473 = 470840
- 379 + 470461 = 470840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.47.56.
- Address
- 0.7.47.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.47.56
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 470,840 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 470840 first appears in π at position 85,641 of the decimal expansion (the 85,641ordinal-suffix:st 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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.