138,300
138,300 is a composite number, even.
138,300 (one hundred thirty-eight thousand three hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 461. Its proper divisors sum to 262,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C3C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 3,831
- Recamán's sequence
- a(492,227) = 138,300
- Square (n²)
- 19,126,890,000
- Cube (n³)
- 2,645,248,887,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 401,016
- φ(n) — Euler's totient
- 36,800
- Sum of prime factors
- 478
Primality
Prime factorization: 2 2 × 3 × 5 2 × 461
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,300 = [371; (1, 7, 1, 5, 1, 14, 3, 11, 1, 6, 1, 1, 12, 1, 2, 1, 30, 4, 13, 29, 1, 2, 12, 3, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand three hundred
- Ordinal
- 138300th
- Binary
- 100001110000111100
- Octal
- 416074
- Hexadecimal
- 0x21C3C
- Base64
- Ahw8
- One's complement
- 4,294,828,995 (32-bit)
- Scientific notation
- 1.383 × 10⁵
- As a duration
- 138,300 s = 1 day, 14 hours, 25 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλητʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋯·𝋠
- Chinese
- 一十三萬八千三百
- Chinese (financial)
- 壹拾參萬捌仟參佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138300, here are decompositions:
- 11 + 138289 = 138300
- 17 + 138283 = 138300
- 53 + 138247 = 138300
- 59 + 138241 = 138300
- 61 + 138239 = 138300
- 103 + 138197 = 138300
- 109 + 138191 = 138300
- 137 + 138163 = 138300
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B0 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.60.
- Address
- 0.2.28.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.60
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 138,300 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.