138,320
138,320 is a composite number, even.
138,320 (one hundred thirty-eight thousand three hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 13 × 19. Its proper divisors sum to 278,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 23,831
- Recamán's sequence
- a(492,187) = 138,320
- Square (n²)
- 19,132,422,400
- Cube (n³)
- 2,646,396,666,368,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 416,640
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 52
Primality
Prime factorization: 2 4 × 5 × 7 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,320 = [371; (1, 10, 1, 1, 1, 1, 1, 10, 1, 742)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand three hundred twenty
- Ordinal
- 138320th
- Binary
- 100001110001010000
- Octal
- 416120
- Hexadecimal
- 0x21C50
- Base64
- AhxQ
- One's complement
- 4,294,828,975 (32-bit)
- Scientific notation
- 1.3832 × 10⁵
- As a duration
- 138,320 s = 1 day, 14 hours, 25 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλητκʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋰·𝋠
- Chinese
- 一十三萬八千三百二十
- Chinese (financial)
- 壹拾參萬捌仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138320, here are decompositions:
- 31 + 138289 = 138320
- 37 + 138283 = 138320
- 73 + 138247 = 138320
- 79 + 138241 = 138320
- 139 + 138181 = 138320
- 157 + 138163 = 138320
- 163 + 138157 = 138320
- 181 + 138139 = 138320
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B1 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.80.
- Address
- 0.2.28.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.80
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 138,320 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 138320 first appears in π at position 315,134 of the decimal expansion (the 315,134ordinal-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.