104,400
104,400 is a composite number, even.
104,400 (one hundred four thousand four hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 5² × 29. Its proper divisors sum to 270,390, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,401
- Recamán's sequence
- a(92,391) = 104,400
- Square (n²)
- 10,899,360,000
- Cube (n³)
- 1,137,893,184,000,000
- Divisor count
- 90
- σ(n) — sum of divisors
- 374,790
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 53
Primality
Prime factorization: 2 4 × 3 2 × 5 2 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√104,400 = [323; (9, 9, 1, 70, 1, 9, 9, 646)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred four thousand four hundred
- Ordinal
- 104400th
- Binary
- 11001011111010000
- Octal
- 313720
- Hexadecimal
- 0x197D0
- Base64
- AZfQ
- One's complement
- 4,294,862,895 (32-bit)
- Scientific notation
- 1.044 × 10⁵
- As a duration
- 104,400 s = 1 day, 5 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρδυʹ
- Mayan (base 20)
- 𝋭·𝋡·𝋠·𝋠
- Chinese
- 一十萬四千四百
- Chinese (financial)
- 壹拾萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104400, here are decompositions:
- 7 + 104393 = 104400
- 17 + 104383 = 104400
- 19 + 104381 = 104400
- 31 + 104369 = 104400
- 53 + 104347 = 104400
- 73 + 104327 = 104400
- 89 + 104311 = 104400
- 103 + 104297 = 104400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.208.
- Address
- 0.1.151.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.151.208
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 104,400 and was likely granted around 1870.
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°.