474,120
474,120 is a composite number, even.
474,120 (four hundred seventy-four thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 439. Its proper divisors sum to 1,109,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73C08.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 21,474
- Square (n²)
- 224,789,774,400
- Cube (n³)
- 106,577,327,838,528,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,584,000
- φ(n) — Euler's totient
- 126,144
- Sum of prime factors
- 459
Primality
Prime factorization: 2 3 × 3 3 × 5 × 439
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,120 = [688; (1, 1, 3, 2, 2, 1, 3, 7, 1, 7, 3, 1, 2, 2, 3, 1, 1, 1376)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-four thousand one hundred twenty
- Ordinal
- 474120th
- Binary
- 1110011110000001000
- Octal
- 1636010
- Hexadecimal
- 0x73C08
- Base64
- BzwI
- One's complement
- 4,294,493,175 (32-bit)
- Scientific notation
- 4.7412 × 10⁵
- As a duration
- 474,120 s = 5 days, 11 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοδρκʹ
- Chinese
- 四十七萬四千一百二十
- Chinese (financial)
- 肆拾柒萬肆仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474120, here are decompositions:
- 19 + 474101 = 474120
- 43 + 474077 = 474120
- 47 + 474073 = 474120
- 61 + 474059 = 474120
- 71 + 474049 = 474120
- 83 + 474037 = 474120
- 103 + 474017 = 474120
- 139 + 473981 = 474120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.60.8.
- Address
- 0.7.60.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.60.8
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 474,120 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 474120 first appears in π at position 808,918 of the decimal expansion (the 808,918ordinal-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°.