470,470
470,470 is a composite number, even.
470,470 (four hundred seventy thousand four hundred seventy) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 5 × 7 × 11 × 13 × 47. Its proper divisors sum to 690,746, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DC6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 74,074
- Square (n²)
- 221,342,020,900
- Cube (n³)
- 104,134,780,572,823,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,161,216
- φ(n) — Euler's totient
- 132,480
- Sum of prime factors
- 85
Primality
Prime factorization: 2 × 5 × 7 × 11 × 13 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√470,470 = [685; (1, 9, 1, 7, 1, 16, 20, 1, 2, 1, 1, 1, 5, 3, 3, 3, 2, 151, 1, 96, 1, 151, 2, 3, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy thousand four hundred seventy
- Ordinal
- 470470th
- Binary
- 1110010110111000110
- Octal
- 1626706
- Hexadecimal
- 0x72DC6
- Base64
- By3G
- One's complement
- 4,294,496,825 (32-bit)
- Scientific notation
- 4.7047 × 10⁵
- As a duration
- 470,470 s = 5 days, 10 hours, 41 minutes, 10 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υουοʹ
- Chinese
- 四十七萬零四百七十
- Chinese (financial)
- 肆拾柒萬零肆佰柒拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470470, here are decompositions:
- 17 + 470453 = 470470
- 23 + 470447 = 470470
- 41 + 470429 = 470470
- 53 + 470417 = 470470
- 59 + 470411 = 470470
- 71 + 470399 = 470470
- 137 + 470333 = 470470
- 167 + 470303 = 470470
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.198.
- Address
- 0.7.45.198
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.45.198
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 470,470 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 470470 first appears in π at position 199,020 of the decimal expansion (the 199,020ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.