120,800
120,800 is a composite number, even.
120,800 (one hundred twenty thousand eight hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 151. Its proper divisors sum to 176,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 8,021
- Square (n²)
- 14,592,640,000
- Cube (n³)
- 1,762,790,912,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 296,856
- φ(n) — Euler's totient
- 48,000
- Sum of prime factors
- 171
Primality
Prime factorization: 2 5 × 5 2 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,800 = [347; (1, 1, 3, 2, 8, 2, 1, 3, 3, 1, 2, 2, 1, 27, 9, 1, 3, 13, 1, 13, 3, 1, 9, 27, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand eight hundred
- Ordinal
- 120800th
- Binary
- 11101011111100000
- Octal
- 353740
- Hexadecimal
- 0x1D7E0
- Base64
- Adfg
- One's complement
- 4,294,846,495 (32-bit)
- Scientific notation
- 1.208 × 10⁵
- As a duration
- 120,800 s = 1 day, 9 hours, 33 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρκωʹ
- Mayan (base 20)
- 𝋯·𝋢·𝋠·𝋠
- Chinese
- 一十二萬零八百
- Chinese (financial)
- 壹拾貳萬零捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120800, here are decompositions:
- 37 + 120763 = 120800
- 61 + 120739 = 120800
- 79 + 120721 = 120800
- 109 + 120691 = 120800
- 139 + 120661 = 120800
- 181 + 120619 = 120800
- 193 + 120607 = 120800
- 223 + 120577 = 120800
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9F A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.224.
- Address
- 0.1.215.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.215.224
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 120,800 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.