471,120
471,120 is a composite number, even.
471,120 (four hundred seventy-one thousand one hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 151. Its proper divisors sum to 1,112,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73050.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 21,174
- Square (n²)
- 221,954,054,400
- Cube (n³)
- 104,566,994,108,928,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,583,232
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 180
Primality
Prime factorization: 2 4 × 3 × 5 × 13 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,120 = [686; (2, 1, 1, 1, 1, 1, 2, 1372)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-one thousand one hundred twenty
- Ordinal
- 471120th
- Binary
- 1110011000001010000
- Octal
- 1630120
- Hexadecimal
- 0x73050
- Base64
- BzBQ
- One's complement
- 4,294,496,175 (32-bit)
- Scientific notation
- 4.7112 × 10⁵
- As a duration
- 471,120 s = 5 days, 10 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοαρκʹ
- Chinese
- 四十七萬一千一百二十
- Chinese (financial)
- 肆拾柒萬壹仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471120, here are decompositions:
- 19 + 471101 = 471120
- 29 + 471091 = 471120
- 31 + 471089 = 471120
- 47 + 471073 = 471120
- 59 + 471061 = 471120
- 79 + 471041 = 471120
- 113 + 471007 = 471120
- 127 + 470993 = 471120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.80.
- Address
- 0.7.48.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.48.80
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 471,120 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 471120 first appears in π at position 718,996 of the decimal expansion (the 718,996ordinal-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°.