123,480
123,480 is a composite number, even.
123,480 (one hundred twenty-three thousand four hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 7³. Its proper divisors sum to 344,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E258.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 84,321
- Square (n²)
- 15,247,310,400
- Cube (n³)
- 1,882,737,888,192,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 468,000
- φ(n) — Euler's totient
- 28,224
- Sum of prime factors
- 38
Primality
Prime factorization: 2 3 × 3 2 × 5 × 7 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√123,480 = [351; (2, 1, 1, 13, 1, 2, 1, 7, 1, 13, 2, 5, 3, 14, 35, 14, 3, 5, 2, 13, 1, 7, 1, 2, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-three thousand four hundred eighty
- Ordinal
- 123480th
- Binary
- 11110001001011000
- Octal
- 361130
- Hexadecimal
- 0x1E258
- Base64
- AeJY
- One's complement
- 4,294,843,815 (32-bit)
- Scientific notation
- 1.2348 × 10⁵
- As a duration
- 123,480 s = 1 day, 10 hours, 18 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκγυπʹ
- Mayan (base 20)
- 𝋯·𝋨·𝋮·𝋠
- Chinese
- 一十二萬三千四百八十
- Chinese (financial)
- 壹拾貳萬參仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123480, here are decompositions:
- 23 + 123457 = 123480
- 31 + 123449 = 123480
- 41 + 123439 = 123480
- 47 + 123433 = 123480
- 53 + 123427 = 123480
- 61 + 123419 = 123480
- 73 + 123407 = 123480
- 79 + 123401 = 123480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.226.88.
- Address
- 0.1.226.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.226.88
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 123,480 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°.