137,840
137,840 is a composite number, even.
137,840 (one hundred thirty-seven thousand eight hundred forty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,723. Its proper divisors sum to 182,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 48,731
- Recamán's sequence
- a(493,147) = 137,840
- Square (n²)
- 18,999,865,600
- Cube (n³)
- 2,618,941,474,304,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 320,664
- φ(n) — Euler's totient
- 55,104
- Sum of prime factors
- 1,736
Primality
Prime factorization: 2 4 × 5 × 1723
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,840 = [371; (3, 1, 2, 1, 2, 2, 1, 2, 10, 11, 3, 17, 1, 3, 1, 2, 3, 1, 1, 7, 1, 3, 1, 1, …)]
Representations
- In words
- one hundred thirty-seven thousand eight hundred forty
- Ordinal
- 137840th
- Binary
- 100001101001110000
- Octal
- 415160
- Hexadecimal
- 0x21A70
- Base64
- Ahpw
- One's complement
- 4,294,829,455 (32-bit)
- Scientific notation
- 1.3784 × 10⁵
- As a duration
- 137,840 s = 1 day, 14 hours, 17 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζωμʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋬·𝋠
- Chinese
- 一十三萬七千八百四十
- Chinese (financial)
- 壹拾參萬柒仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137840, here are decompositions:
- 13 + 137827 = 137840
- 37 + 137803 = 137840
- 97 + 137743 = 137840
- 103 + 137737 = 137840
- 127 + 137713 = 137840
- 181 + 137659 = 137840
- 349 + 137491 = 137840
- 397 + 137443 = 137840
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A9 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.112.
- Address
- 0.2.26.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.112
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 137,840 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.