135,984
135,984 is a composite number, even.
135,984 (one hundred thirty-five thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,833. Its proper divisors sum to 215,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21330.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 4,320
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 489,531
- Square (n²)
- 18,491,648,256
- Cube (n³)
- 2,514,568,296,443,904
- Divisor count
- 20
- σ(n) — sum of divisors
- 351,416
- φ(n) — Euler's totient
- 45,312
- Sum of prime factors
- 2,844
Primality
Prime factorization: 2 4 × 3 × 2833
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,984 = [368; (1, 3, 5, 1, 18, 14, 7, 1, 2, 4, 61, 4, 2, 1, 7, 14, 18, 1, 5, 3, 1, 736)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand nine hundred eighty-four
- Ordinal
- 135984th
- Binary
- 100001001100110000
- Octal
- 411460
- Hexadecimal
- 0x21330
- Base64
- AhMw
- One's complement
- 4,294,831,311 (32-bit)
- Scientific notation
- 1.35984 × 10⁵
- As a duration
- 135,984 s = 1 day, 13 hours, 46 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλεϡπδʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋳·𝋤
- Chinese
- 一十三萬五千九百八十四
- Chinese (financial)
- 壹拾參萬伍仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135984, here are decompositions:
- 5 + 135979 = 135984
- 7 + 135977 = 135984
- 47 + 135937 = 135984
- 71 + 135913 = 135984
- 73 + 135911 = 135984
- 97 + 135887 = 135984
- 197 + 135787 = 135984
- 227 + 135757 = 135984
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 8C B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.48.
- Address
- 0.2.19.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.19.48
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 135,984 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 135984 first appears in π at position 240,307 of the decimal expansion (the 240,307ordinal-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°.