138,240
138,240 is a composite number, even.
138,240 (one hundred thirty-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 88 divisors, and factors as 2¹⁰ × 3³ × 5. Its proper divisors sum to 353,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 42,831
- Recamán's sequence
- a(492,347) = 138,240
- Square (n²)
- 19,110,297,600
- Cube (n³)
- 2,641,807,540,224,000
- Divisor count
- 88
- σ(n) — sum of divisors
- 491,280
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 34
Primality
Prime factorization: 2 10 × 3 3 × 5
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,240 = [371; (1, 4, 6, 20, 2, 45, 1, 81, 1, 1, 1, 4, 2, 185, 2, 4, 1, 1, 1, 81, 1, 45, 2, 20, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand two hundred forty
- Ordinal
- 138240th
- Binary
- 100001110000000000
- Octal
- 416000
- Hexadecimal
- 0x21C00
- Base64
- AhwA
- One's complement
- 4,294,829,055 (32-bit)
- Scientific notation
- 1.3824 × 10⁵
- As a duration
- 138,240 s = 1 day, 14 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλησμʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋬·𝋠
- Chinese
- 一十三萬八千二百四十
- Chinese (financial)
- 壹拾參萬捌仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138240, here are decompositions:
- 31 + 138209 = 138240
- 43 + 138197 = 138240
- 59 + 138181 = 138240
- 61 + 138179 = 138240
- 83 + 138157 = 138240
- 97 + 138143 = 138240
- 101 + 138139 = 138240
- 127 + 138113 = 138240
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B0 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.0.
- Address
- 0.2.28.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.0
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 138,240 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 138240 first appears in π at position 685,592 of the decimal expansion (the 685,592ordinal-suffix:nd 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°.