138,080
138,080 is a composite number, even.
138,080 (one hundred thirty-eight thousand eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 863. Its proper divisors sum to 188,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 80,831
- Recamán's sequence
- a(492,667) = 138,080
- Square (n²)
- 19,066,086,400
- Cube (n³)
- 2,632,645,210,112,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 326,592
- φ(n) — Euler's totient
- 55,168
- Sum of prime factors
- 878
Primality
Prime factorization: 2 5 × 5 × 863
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,080 = [371; (1, 1, 2, 4, 7, 1, 1, 2, 8, 1, 8, 1, 1, 17, 1, 1, 2, 185, 2, 1, 1, 17, 1, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand eighty
- Ordinal
- 138080th
- Binary
- 100001101101100000
- Octal
- 415540
- Hexadecimal
- 0x21B60
- Base64
- Ahtg
- One's complement
- 4,294,829,215 (32-bit)
- Scientific notation
- 1.3808 × 10⁵
- As a duration
- 138,080 s = 1 day, 14 hours, 21 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρληπʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋤·𝋠
- Chinese
- 一十三萬八千零八十
- Chinese (financial)
- 壹拾參萬捌仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138080, here are decompositions:
- 3 + 138077 = 138080
- 73 + 138007 = 138080
- 97 + 137983 = 138080
- 139 + 137941 = 138080
- 211 + 137869 = 138080
- 277 + 137803 = 138080
- 337 + 137743 = 138080
- 367 + 137713 = 138080
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AD A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.96.
- Address
- 0.2.27.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.96
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 138,080 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 138080 first appears in π at position 11,977 of the decimal expansion (the 11,977ordinal-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.