138,096
138,096 is a composite number, even.
138,096 (one hundred thirty-eight thousand ninety-six) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 137. Its proper divisors sum to 306,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 690,831
- Recamán's sequence
- a(492,635) = 138,096
- Square (n²)
- 19,070,505,216
- Cube (n³)
- 2,633,560,488,308,736
- Divisor count
- 60
- σ(n) — sum of divisors
- 444,912
- φ(n) — Euler's totient
- 39,168
- Sum of prime factors
- 158
Primality
Prime factorization: 2 4 × 3 2 × 7 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,096 = [371; (1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 742)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand ninety-six
- Ordinal
- 138096th
- Binary
- 100001101101110000
- Octal
- 415560
- Hexadecimal
- 0x21B70
- Base64
- Ahtw
- One's complement
- 4,294,829,199 (32-bit)
- Scientific notation
- 1.38096 × 10⁵
- As a duration
- 138,096 s = 1 day, 14 hours, 21 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληϟϛʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋤·𝋰
- Chinese
- 一十三萬八千零九十六
- Chinese (financial)
- 壹拾參萬捌仟零玖拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138096, here are decompositions:
- 17 + 138079 = 138096
- 19 + 138077 = 138096
- 37 + 138059 = 138096
- 43 + 138053 = 138096
- 89 + 138007 = 138096
- 97 + 137999 = 138096
- 103 + 137993 = 138096
- 113 + 137983 = 138096
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AD B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.112.
- Address
- 0.2.27.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.112
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 138,096 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 138096 first appears in π at position 557,157 of the decimal expansion (the 557,157ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.