138,380
138,380 is a composite number, even.
138,380 (one hundred thirty-eight thousand three hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 17 × 37. Its proper divisors sum to 206,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C8C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 83,831
- Recamán's sequence
- a(492,067) = 138,380
- Square (n²)
- 19,149,024,400
- Cube (n³)
- 2,649,841,996,472,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 344,736
- φ(n) — Euler's totient
- 46,080
- Sum of prime factors
- 74
Primality
Prime factorization: 2 2 × 5 × 11 × 17 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,380 = [371; (1, 184, 1, 742)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand three hundred eighty
- Ordinal
- 138380th
- Binary
- 100001110010001100
- Octal
- 416214
- Hexadecimal
- 0x21C8C
- Base64
- AhyM
- One's complement
- 4,294,828,915 (32-bit)
- Scientific notation
- 1.3838 × 10⁵
- As a duration
- 138,380 s = 1 day, 14 hours, 26 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλητπʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋳·𝋠
- Chinese
- 一十三萬八千三百八十
- Chinese (financial)
- 壹拾參萬捌仟參佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138380, here are decompositions:
- 7 + 138373 = 138380
- 31 + 138349 = 138380
- 43 + 138337 = 138380
- 61 + 138319 = 138380
- 97 + 138283 = 138380
- 139 + 138241 = 138380
- 199 + 138181 = 138380
- 223 + 138157 = 138380
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.140.
- Address
- 0.2.28.140
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.140
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 138,380 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 138380 first appears in π at position 800,014 of the decimal expansion (the 800,014ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.