120,080
120,080 is a composite number, even.
120,080 (one hundred twenty thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 19 × 79. Its proper divisors sum to 177,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D510.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 80,021
- Recamán's sequence
- a(239,936) = 120,080
- Square (n²)
- 14,419,206,400
- Cube (n³)
- 1,731,458,304,512,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 297,600
- φ(n) — Euler's totient
- 44,928
- Sum of prime factors
- 111
Primality
Prime factorization: 2 4 × 5 × 19 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,080 = [346; (1, 1, 9, 3, 1, 4, 1, 33, 1, 4, 1, 3, 9, 1, 1, 692)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand eighty
- Ordinal
- 120080th
- Binary
- 11101010100010000
- Octal
- 352420
- Hexadecimal
- 0x1D510
- Base64
- AdUQ
- One's complement
- 4,294,847,215 (32-bit)
- Scientific notation
- 1.2008 × 10⁵
- As a duration
- 120,080 s = 1 day, 9 hours, 21 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκπʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋤·𝋠
- Chinese
- 一十二萬零八十
- Chinese (financial)
- 壹拾貳萬零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120080, here are decompositions:
- 3 + 120077 = 120080
- 13 + 120067 = 120080
- 31 + 120049 = 120080
- 97 + 119983 = 120080
- 109 + 119971 = 120080
- 127 + 119953 = 120080
- 151 + 119929 = 120080
- 157 + 119923 = 120080
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 94 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.16.
- Address
- 0.1.213.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.16
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 120,080 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120080 first appears in π at position 783,391 of the decimal expansion (the 783,391ordinal-suffix:st 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.