138,960
138,960 is a composite number, even.
138,960 (one hundred thirty-eight thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 193. Its proper divisors sum to 330,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21ED0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 69,831
- Recamán's sequence
- a(490,907) = 138,960
- Square (n²)
- 19,309,881,600
- Cube (n³)
- 2,683,301,147,136,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 469,092
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 212
Primality
Prime factorization: 2 4 × 3 2 × 5 × 193
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,960 = [372; (1, 3, 2, 2, 2, 1, 2, 2, 4, 1, 3, 11, 2, 1, 1, 2, 2, 82, 2, 2, 1, 1, 2, 11, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand nine hundred sixty
- Ordinal
- 138960th
- Binary
- 100001111011010000
- Octal
- 417320
- Hexadecimal
- 0x21ED0
- Base64
- Ah7Q
- One's complement
- 4,294,828,335 (32-bit)
- Scientific notation
- 1.3896 × 10⁵
- As a duration
- 138,960 s = 1 day, 14 hours, 36 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρληϡξʹ
- Mayan (base 20)
- 𝋱·𝋧·𝋨·𝋠
- Chinese
- 一十三萬八千九百六十
- Chinese (financial)
- 壹拾參萬捌仟玖佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138960, here are decompositions:
- 23 + 138937 = 138960
- 37 + 138923 = 138960
- 43 + 138917 = 138960
- 61 + 138899 = 138960
- 67 + 138893 = 138960
- 71 + 138889 = 138960
- 97 + 138863 = 138960
- 131 + 138829 = 138960
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 BB 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.208.
- Address
- 0.2.30.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.30.208
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 138,960 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°.