120,680
120,680 is a composite number, even.
120,680 (one hundred twenty thousand six hundred eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 431. Its proper divisors sum to 190,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D768.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 86,021
- Square (n²)
- 14,563,662,400
- Cube (n³)
- 1,757,542,778,432,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 311,040
- φ(n) — Euler's totient
- 41,280
- Sum of prime factors
- 449
Primality
Prime factorization: 2 3 × 5 × 7 × 431
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,680 = [347; (2, 1, 1, 3, 1, 1, 21, 1, 5, 1, 2, 1, 1, 1, 2, 1, 5, 1, 21, 1, 1, 3, 1, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand six hundred eighty
- Ordinal
- 120680th
- Binary
- 11101011101101000
- Octal
- 353550
- Hexadecimal
- 0x1D768
- Base64
- Addo
- One's complement
- 4,294,846,615 (32-bit)
- Scientific notation
- 1.2068 × 10⁵
- As a duration
- 120,680 s = 1 day, 9 hours, 31 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκχπʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋮·𝋠
- Chinese
- 一十二萬零六百八十
- Chinese (financial)
- 壹拾貳萬零陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120680, here are decompositions:
- 3 + 120677 = 120680
- 19 + 120661 = 120680
- 61 + 120619 = 120680
- 73 + 120607 = 120680
- 103 + 120577 = 120680
- 283 + 120397 = 120680
- 331 + 120349 = 120680
- 349 + 120331 = 120680
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9D A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.104.
- Address
- 0.1.215.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.215.104
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 120,680 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 120680 first appears in π at position 392,452 of the decimal expansion (the 392,452ordinal-suffix:nd 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.