124,800
124,800 is a composite number, even.
124,800 (one hundred twenty-four thousand eight hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3 × 5² × 13. Its proper divisors sum to 317,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E780.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 8,421
- Recamán's sequence
- a(236,564) = 124,800
- Square (n²)
- 15,575,040,000
- Cube (n³)
- 1,943,764,992,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 442,680
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 40
Primality
Prime factorization: 2 7 × 3 × 5 2 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√124,800 = [353; (3, 1, 2, 3, 4, 6, 1, 4, 1, 43, 3, 27, 1, 13, 2, 4, 1, 175, 1, 4, 2, 13, 1, 27, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-four thousand eight hundred
- Ordinal
- 124800th
- Binary
- 11110011110000000
- Octal
- 363600
- Hexadecimal
- 0x1E780
- Base64
- AeeA
- One's complement
- 4,294,842,495 (32-bit)
- Scientific notation
- 1.248 × 10⁵
- As a duration
- 124,800 s = 1 day, 10 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρκδωʹ
- Mayan (base 20)
- 𝋯·𝋬·𝋠·𝋠
- Chinese
- 一十二萬四千八百
- Chinese (financial)
- 壹拾貳萬肆仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124800, here are decompositions:
- 7 + 124793 = 124800
- 17 + 124783 = 124800
- 19 + 124781 = 124800
- 23 + 124777 = 124800
- 29 + 124771 = 124800
- 31 + 124769 = 124800
- 41 + 124759 = 124800
- 47 + 124753 = 124800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.231.128.
- Address
- 0.1.231.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.231.128
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 124,800 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.