137,824
137,824 is a composite number, even.
137,824 (one hundred thirty-seven thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 59 × 73. Its proper divisors sum to 141,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 1,344
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 428,731
- Recamán's sequence
- a(493,179) = 137,824
- Square (n²)
- 18,995,454,976
- Cube (n³)
- 2,618,029,586,612,224
- Divisor count
- 24
- σ(n) — sum of divisors
- 279,720
- φ(n) — Euler's totient
- 66,816
- Sum of prime factors
- 142
Primality
Prime factorization: 2 5 × 59 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,824 = [371; (4, 17, 1, 6, 7, 1, 12, 1, 1, 1, 1, 1, 6, 15, 3, 6, 1, 2, 1, 12, 3, 1, 1, 29, …)]
Representations
- In words
- one hundred thirty-seven thousand eight hundred twenty-four
- Ordinal
- 137824th
- Binary
- 100001101001100000
- Octal
- 415140
- Hexadecimal
- 0x21A60
- Base64
- Ahpg
- One's complement
- 4,294,829,471 (32-bit)
- Scientific notation
- 1.37824 × 10⁵
- As a duration
- 137,824 s = 1 day, 14 hours, 17 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζωκδʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋫·𝋤
- Chinese
- 一十三萬七千八百二十四
- Chinese (financial)
- 壹拾參萬柒仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137824, here are decompositions:
- 47 + 137777 = 137824
- 53 + 137771 = 137824
- 101 + 137723 = 137824
- 191 + 137633 = 137824
- 227 + 137597 = 137824
- 251 + 137573 = 137824
- 257 + 137567 = 137824
- 317 + 137507 = 137824
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A9 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.96.
- Address
- 0.2.26.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.96
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 137,824 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.