120,480
120,480 is a composite number, even.
120,480 (one hundred twenty thousand four hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 251. Its proper divisors sum to 260,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 84,021
- Square (n²)
- 14,515,430,400
- Cube (n³)
- 1,748,819,054,592,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 381,024
- φ(n) — Euler's totient
- 32,000
- Sum of prime factors
- 269
Primality
Prime factorization: 2 5 × 3 × 5 × 251
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,480 = [347; (9, 1, 3, 2, 6, 1, 6, 2, 1, 2, 1, 3, 2, 1, 1, 1, 3, 173, 3, 1, 1, 1, 2, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand four hundred eighty
- Ordinal
- 120480th
- Binary
- 11101011010100000
- Octal
- 353240
- Hexadecimal
- 0x1D6A0
- Base64
- Adag
- One's complement
- 4,294,846,815 (32-bit)
- Scientific notation
- 1.2048 × 10⁵
- As a duration
- 120,480 s = 1 day, 9 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκυπʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋤·𝋠
- Chinese
- 一十二萬零四百八十
- Chinese (financial)
- 壹拾貳萬零肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120480, here are decompositions:
- 7 + 120473 = 120480
- 53 + 120427 = 120480
- 67 + 120413 = 120480
- 79 + 120401 = 120480
- 83 + 120397 = 120480
- 89 + 120391 = 120480
- 97 + 120383 = 120480
- 109 + 120371 = 120480
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9A A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.160.
- Address
- 0.1.214.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.214.160
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 120,480 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°.