138,400
138,400 is a composite number, even.
138,400 (one hundred thirty-eight thousand four hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 173. Its proper divisors sum to 201,422, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,831
- Recamán's sequence
- a(492,027) = 138,400
- Square (n²)
- 19,154,560,000
- Cube (n³)
- 2,650,991,104,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 339,822
- φ(n) — Euler's totient
- 55,040
- Sum of prime factors
- 193
Primality
Prime factorization: 2 5 × 5 2 × 173
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,400 = [372; (46, 1, 1, 185, 1, 1, 46, 744)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand four hundred
- Ordinal
- 138400th
- Binary
- 100001110010100000
- Octal
- 416240
- Hexadecimal
- 0x21CA0
- Base64
- Ahyg
- One's complement
- 4,294,828,895 (32-bit)
- Scientific notation
- 1.384 × 10⁵
- As a duration
- 138,400 s = 1 day, 14 hours, 26 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρληυʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋠·𝋠
- Chinese
- 一十三萬八千四百
- Chinese (financial)
- 壹拾參萬捌仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138400, here are decompositions:
- 11 + 138389 = 138400
- 29 + 138371 = 138400
- 89 + 138311 = 138400
- 149 + 138251 = 138400
- 191 + 138209 = 138400
- 257 + 138143 = 138400
- 293 + 138107 = 138400
- 347 + 138053 = 138400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.160.
- Address
- 0.2.28.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.160
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 138,400 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.