138,840
138,840 is a composite number, even.
138,840 (one hundred thirty-eight thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 13 × 89. Its proper divisors sum to 314,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 48,831
- Recamán's sequence
- a(491,147) = 138,840
- Square (n²)
- 19,276,545,600
- Cube (n³)
- 2,676,355,591,104,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 453,600
- φ(n) — Euler's totient
- 33,792
- Sum of prime factors
- 116
Primality
Prime factorization: 2 3 × 3 × 5 × 13 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,840 = [372; (1, 1, 1, 1, 2, 1, 1, 1, 2, 14, 1, 4, 1, 5, 3, 18, 3, 5, 1, 4, 1, 14, 2, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand eight hundred forty
- Ordinal
- 138840th
- Binary
- 100001111001011000
- Octal
- 417130
- Hexadecimal
- 0x21E58
- Base64
- Ah5Y
- One's complement
- 4,294,828,455 (32-bit)
- Scientific notation
- 1.3884 × 10⁵
- As a duration
- 138,840 s = 1 day, 14 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρληωμʹ
- Mayan (base 20)
- 𝋱·𝋧·𝋢·𝋠
- Chinese
- 一十三萬八千八百四十
- Chinese (financial)
- 壹拾參萬捌仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138840, here are decompositions:
- 11 + 138829 = 138840
- 19 + 138821 = 138840
- 41 + 138799 = 138840
- 43 + 138797 = 138840
- 47 + 138793 = 138840
- 101 + 138739 = 138840
- 109 + 138731 = 138840
- 113 + 138727 = 138840
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B9 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.88.
- Address
- 0.2.30.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.30.88
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 138,840 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°.