138,688
138,688 is a composite number, even.
138,688 (one hundred thirty-eight thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 11 × 197. Its proper divisors sum to 163,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 34
- Digit product
- 9,216
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 886,831
- Recamán's sequence
- a(491,451) = 138,688
- Square (n²)
- 19,234,361,344
- Cube (n³)
- 2,667,575,106,076,672
- Divisor count
- 28
- σ(n) — sum of divisors
- 301,752
- φ(n) — Euler's totient
- 62,720
- Sum of prime factors
- 220
Primality
Prime factorization: 2 6 × 11 × 197
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,688 = [372; (2, 2, 4, 2, 1, 2, 26, 4, 2, 1, 2, 2, 2, 1, 4, 14, 1, 81, 1, 4, 1, 1, 1, 8, …)]
Representations
- In words
- one hundred thirty-eight thousand six hundred eighty-eight
- Ordinal
- 138688th
- Binary
- 100001110111000000
- Octal
- 416700
- Hexadecimal
- 0x21DC0
- Base64
- Ah3A
- One's complement
- 4,294,828,607 (32-bit)
- Scientific notation
- 1.38688 × 10⁵
- As a duration
- 138,688 s = 1 day, 14 hours, 31 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληχπηʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋮·𝋨
- Chinese
- 一十三萬八千六百八十八
- Chinese (financial)
- 壹拾參萬捌仟陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138688, here are decompositions:
- 5 + 138683 = 138688
- 41 + 138647 = 138688
- 47 + 138641 = 138688
- 59 + 138629 = 138688
- 71 + 138617 = 138688
- 89 + 138599 = 138688
- 101 + 138587 = 138688
- 107 + 138581 = 138688
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B7 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.192.
- Address
- 0.2.29.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.192
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 138,688 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.