135,048
135,048 is a composite number, even.
135,048 (one hundred thirty-five thousand forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 17 × 331. Its proper divisors sum to 223,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F88.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 840,531
- Recamán's sequence
- a(36,328) = 135,048
- Square (n²)
- 18,237,962,304
- Cube (n³)
- 2,463,000,333,230,592
- Divisor count
- 32
- σ(n) — sum of divisors
- 358,560
- φ(n) — Euler's totient
- 42,240
- Sum of prime factors
- 357
Primality
Prime factorization: 2 3 × 3 × 17 × 331
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,048 = [367; (2, 21, 1, 3, 2, 1, 1, 5, 2, 14, 1, 1, 5, 1, 1, 1, 14, 1, 90, 1, 14, 1, 1, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand forty-eight
- Ordinal
- 135048th
- Binary
- 100000111110001000
- Octal
- 407610
- Hexadecimal
- 0x20F88
- Base64
- Ag+I
- One's complement
- 4,294,832,247 (32-bit)
- Scientific notation
- 1.35048 × 10⁵
- As a duration
- 135,048 s = 1 day, 13 hours, 30 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλεμηʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋬·𝋨
- Chinese
- 一十三萬五千零四十八
- Chinese (financial)
- 壹拾參萬伍仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135048, here are decompositions:
- 5 + 135043 = 135048
- 19 + 135029 = 135048
- 29 + 135019 = 135048
- 31 + 135017 = 135048
- 41 + 135007 = 135048
- 59 + 134989 = 135048
- 97 + 134951 = 135048
- 101 + 134947 = 135048
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 BE 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.136.
- Address
- 0.2.15.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.15.136
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 135,048 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°.