120,840
120,840 is a composite number, even.
120,840 (one hundred twenty thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 53. Its proper divisors sum to 267,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D808.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 48,021
- Square (n²)
- 14,602,305,600
- Cube (n³)
- 1,764,542,608,704,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 388,800
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 86
Primality
Prime factorization: 2 3 × 3 × 5 × 19 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,840 = [347; (1, 1, 1, 1, 1, 2, 1, 5, 46, 5, 1, 2, 1, 1, 1, 1, 1, 694)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand eight hundred forty
- Ordinal
- 120840th
- Binary
- 11101100000001000
- Octal
- 354010
- Hexadecimal
- 0x1D808
- Base64
- AdgI
- One's complement
- 4,294,846,455 (32-bit)
- Scientific notation
- 1.2084 × 10⁵
- As a duration
- 120,840 s = 1 day, 9 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκωμʹ
- Mayan (base 20)
- 𝋯·𝋢·𝋢·𝋠
- Chinese
- 一十二萬零八百四十
- Chinese (financial)
- 壹拾貳萬零捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120840, here are decompositions:
- 7 + 120833 = 120840
- 11 + 120829 = 120840
- 17 + 120823 = 120840
- 23 + 120817 = 120840
- 29 + 120811 = 120840
- 61 + 120779 = 120840
- 73 + 120767 = 120840
- 101 + 120739 = 120840
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D A0 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.8.
- Address
- 0.1.216.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.216.8
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 120,840 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.