137,728
137,728 is a composite number, even.
137,728 (one hundred thirty-seven thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁹ × 269. Its proper divisors sum to 138,482, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 2,352
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 827,731
- Recamán's sequence
- a(493,371) = 137,728
- Square (n²)
- 18,969,001,984
- Cube (n³)
- 2,612,562,705,252,352
- Divisor count
- 20
- σ(n) — sum of divisors
- 276,210
- φ(n) — Euler's totient
- 68,608
- Sum of prime factors
- 287
Primality
Prime factorization: 2 9 × 269
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,728 = [371; (8, 1, 1, 7, 1, 4, 3, 1, 2, 7, 3, 2, 4, 2, 15, 2, 1, 10, 1, 12, 9, 3, 6, 1, …)]
Representations
- In words
- one hundred thirty-seven thousand seven hundred twenty-eight
- Ordinal
- 137728th
- Binary
- 100001101000000000
- Octal
- 415000
- Hexadecimal
- 0x21A00
- Base64
- AhoA
- One's complement
- 4,294,829,567 (32-bit)
- Scientific notation
- 1.37728 × 10⁵
- As a duration
- 137,728 s = 1 day, 14 hours, 15 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζψκηʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋦·𝋨
- Chinese
- 一十三萬七千七百二十八
- Chinese (financial)
- 壹拾參萬柒仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137728, here are decompositions:
- 5 + 137723 = 137728
- 29 + 137699 = 137728
- 89 + 137639 = 137728
- 131 + 137597 = 137728
- 191 + 137537 = 137728
- 251 + 137477 = 137728
- 281 + 137447 = 137728
- 359 + 137369 = 137728
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A8 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.0.
- Address
- 0.2.26.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.0
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 137,728 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.