135,040
135,040 is a composite number, even.
135,040 (one hundred thirty-five thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 211. Its proper divisors sum to 189,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 40,531
- Recamán's sequence
- a(36,312) = 135,040
- Square (n²)
- 18,235,801,600
- Cube (n³)
- 2,462,562,648,064,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 324,360
- φ(n) — Euler's totient
- 53,760
- Sum of prime factors
- 230
Primality
Prime factorization: 2 7 × 5 × 211
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,040 = [367; (2, 10, 1, 4, 5, 4, 6, 2, 1, 1, 1, 1, 2, 2, 4, 3, 2, 3, 11, 1, 22, 1, 3, 1, …)]
Representations
- In words
- one hundred thirty-five thousand forty
- Ordinal
- 135040th
- Binary
- 100000111110000000
- Octal
- 407600
- Hexadecimal
- 0x20F80
- Base64
- Ag+A
- One's complement
- 4,294,832,255 (32-bit)
- Scientific notation
- 1.3504 × 10⁵
- As a duration
- 135,040 s = 1 day, 13 hours, 30 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλεμʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋬·𝋠
- Chinese
- 一十三萬五千零四十
- Chinese (financial)
- 壹拾參萬伍仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135040, here are decompositions:
- 11 + 135029 = 135040
- 23 + 135017 = 135040
- 41 + 134999 = 135040
- 89 + 134951 = 135040
- 131 + 134909 = 135040
- 167 + 134873 = 135040
- 173 + 134867 = 135040
- 233 + 134807 = 135040
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 BE 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.128.
- Address
- 0.2.15.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.15.128
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 135,040 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 135040 first appears in π at position 576,037 of the decimal expansion (the 576,037ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.