135,840
135,840 is a composite number, even.
135,840 (one hundred thirty-five thousand eight hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 283. Its proper divisors sum to 293,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x212A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 48,531
- Square (n²)
- 18,452,505,600
- Cube (n³)
- 2,506,588,360,704,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 429,408
- φ(n) — Euler's totient
- 36,096
- Sum of prime factors
- 301
Primality
Prime factorization: 2 5 × 3 × 5 × 283
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,840 = [368; (1, 1, 3, 2, 1, 3, 1, 1, 1, 183, 1, 1, 1, 3, 1, 2, 3, 1, 1, 736)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand eight hundred forty
- Ordinal
- 135840th
- Binary
- 100001001010100000
- Octal
- 411240
- Hexadecimal
- 0x212A0
- Base64
- AhKg
- One's complement
- 4,294,831,455 (32-bit)
- Scientific notation
- 1.3584 × 10⁵
- As a duration
- 135,840 s = 1 day, 13 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλεωμʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋬·𝋠
- Chinese
- 一十三萬五千八百四十
- Chinese (financial)
- 壹拾參萬伍仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135840, here are decompositions:
- 11 + 135829 = 135840
- 41 + 135799 = 135840
- 53 + 135787 = 135840
- 59 + 135781 = 135840
- 83 + 135757 = 135840
- 97 + 135743 = 135840
- 109 + 135731 = 135840
- 113 + 135727 = 135840
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 8A A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.160.
- Address
- 0.2.18.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.18.160
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 135,840 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 135840 first appears in π at position 816,827 of the decimal expansion (the 816,827ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.