471,920
471,920 is a composite number, even.
471,920 (four hundred seventy-one thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 347. Its proper divisors sum to 693,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73370.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 29,174
- Square (n²)
- 222,708,486,400
- Cube (n³)
- 105,100,588,901,888,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,165,104
- φ(n) — Euler's totient
- 177,152
- Sum of prime factors
- 377
Primality
Prime factorization: 2 4 × 5 × 17 × 347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,920 = [686; (1, 27, 24, 1, 17, 8, 2, 10, 1, 7, 1, 1, 1, 1, 1, 3, 5, 2, 8, 1, 1, 1, 3, 1, …)]
Representations
- In words
- four hundred seventy-one thousand nine hundred twenty
- Ordinal
- 471920th
- Binary
- 1110011001101110000
- Octal
- 1631560
- Hexadecimal
- 0x73370
- Base64
- BzNw
- One's complement
- 4,294,495,375 (32-bit)
- Scientific notation
- 4.7192 × 10⁵
- As a duration
- 471,920 s = 5 days, 11 hours, 5 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοαϡκʹ
- Chinese
- 四十七萬一千九百二十
- Chinese (financial)
- 肆拾柒萬壹仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471920, here are decompositions:
- 13 + 471907 = 471920
- 19 + 471901 = 471920
- 67 + 471853 = 471920
- 73 + 471847 = 471920
- 79 + 471841 = 471920
- 103 + 471817 = 471920
- 139 + 471781 = 471920
- 151 + 471769 = 471920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.112.
- Address
- 0.7.51.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.51.112
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 471,920 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 471920 first appears in π at position 158,086 of the decimal expansion (the 158,086ordinal-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°.