138,648
138,648 is a composite number, even.
138,648 (one hundred thirty-eight thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 53 × 109. Its proper divisors sum to 217,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D98.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 4,608
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 846,831
- Recamán's sequence
- a(491,531) = 138,648
- Square (n²)
- 19,223,267,904
- Cube (n³)
- 2,665,267,648,353,792
- Divisor count
- 32
- σ(n) — sum of divisors
- 356,400
- φ(n) — Euler's totient
- 44,928
- Sum of prime factors
- 171
Primality
Prime factorization: 2 3 × 3 × 53 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,648 = [372; (2, 1, 4, 1, 1, 5, 1, 1, 1, 1, 5, 1, 4, 2, 1, 3, 1, 1, 1, 3, 1, 3, 3, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand six hundred forty-eight
- Ordinal
- 138648th
- Binary
- 100001110110011000
- Octal
- 416630
- Hexadecimal
- 0x21D98
- Base64
- Ah2Y
- One's complement
- 4,294,828,647 (32-bit)
- Scientific notation
- 1.38648 × 10⁵
- As a duration
- 138,648 s = 1 day, 14 hours, 30 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληχμηʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋬·𝋨
- Chinese
- 一十三萬八千六百四十八
- Chinese (financial)
- 壹拾參萬捌仟陸佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138648, here are decompositions:
- 7 + 138641 = 138648
- 11 + 138637 = 138648
- 19 + 138629 = 138648
- 31 + 138617 = 138648
- 61 + 138587 = 138648
- 67 + 138581 = 138648
- 71 + 138577 = 138648
- 79 + 138569 = 138648
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B6 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.152.
- Address
- 0.2.29.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.152
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 138,648 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°.