468,120
468,120 is a composite number, even.
468,120 (four hundred sixty-eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 47 × 83. Its proper divisors sum to 983,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72498.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 21,864
- Square (n²)
- 219,136,334,400
- Cube (n³)
- 102,582,100,859,328,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,451,520
- φ(n) — Euler's totient
- 120,704
- Sum of prime factors
- 144
Primality
Prime factorization: 2 3 × 3 × 5 × 47 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√468,120 = [684; (5, 5, 2, 10, 1, 5, 1, 3, 1, 7, 3, 3, 3, 7, 1, 3, 1, 5, 1, 10, 2, 5, 5, 1368)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-eight thousand one hundred twenty
- Ordinal
- 468120th
- Binary
- 1110010010010011000
- Octal
- 1622230
- Hexadecimal
- 0x72498
- Base64
- BySY
- One's complement
- 4,294,499,175 (32-bit)
- Scientific notation
- 4.6812 × 10⁵
- As a duration
- 468,120 s = 5 days, 10 hours, 2 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξηρκʹ
- Chinese
- 四十六萬八千一百二十
- Chinese (financial)
- 肆拾陸萬捌仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 468120, here are decompositions:
- 7 + 468113 = 468120
- 11 + 468109 = 468120
- 13 + 468107 = 468120
- 41 + 468079 = 468120
- 53 + 468067 = 468120
- 61 + 468059 = 468120
- 71 + 468049 = 468120
- 101 + 468019 = 468120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.36.152.
- Address
- 0.7.36.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.36.152
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 468,120 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 468120 first appears in π at position 600,606 of the decimal expansion (the 600,606ordinal-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°.