138,120
138,120 is a composite number, even.
138,120 (one hundred thirty-eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,151. Its proper divisors sum to 276,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B88.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,831
- Recamán's sequence
- a(492,587) = 138,120
- Square (n²)
- 19,077,134,400
- Cube (n³)
- 2,634,933,803,328,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 414,720
- φ(n) — Euler's totient
- 36,800
- Sum of prime factors
- 1,165
Primality
Prime factorization: 2 3 × 3 × 5 × 1151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,120 = [371; (1, 1, 1, 4, 2, 5, 1, 2, 4, 5, 1, 1, 7, 3, 1, 1, 3, 3, 10, 6, 10, 3, 3, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand one hundred twenty
- Ordinal
- 138120th
- Binary
- 100001101110001000
- Octal
- 415610
- Hexadecimal
- 0x21B88
- Base64
- AhuI
- One's complement
- 4,294,829,175 (32-bit)
- Scientific notation
- 1.3812 × 10⁵
- As a duration
- 138,120 s = 1 day, 14 hours, 22 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρληρκʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋦·𝋠
- Chinese
- 一十三萬八千一百二十
- Chinese (financial)
- 壹拾參萬捌仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138120, here are decompositions:
- 7 + 138113 = 138120
- 13 + 138107 = 138120
- 19 + 138101 = 138120
- 41 + 138079 = 138120
- 43 + 138077 = 138120
- 61 + 138059 = 138120
- 67 + 138053 = 138120
- 79 + 138041 = 138120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AE 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.136.
- Address
- 0.2.27.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.136
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 138,120 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°.