135,792
135,792 is a composite number, even.
135,792 (one hundred thirty-five thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 23 × 41. Its proper divisors sum to 270,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21270.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,890
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 297,531
- Square (n²)
- 18,439,467,264
- Cube (n³)
- 2,503,932,138,713,088
- Divisor count
- 60
- σ(n) — sum of divisors
- 406,224
- φ(n) — Euler's totient
- 42,240
- Sum of prime factors
- 78
Primality
Prime factorization: 2 4 × 3 2 × 23 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,792 = [368; (2, 736)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand seven hundred ninety-two
- Ordinal
- 135792nd
- Binary
- 100001001001110000
- Octal
- 411160
- Hexadecimal
- 0x21270
- Base64
- AhJw
- One's complement
- 4,294,831,503 (32-bit)
- Scientific notation
- 1.35792 × 10⁵
- As a duration
- 135,792 s = 1 day, 13 hours, 43 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλεψϟβʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋩·𝋬
- Chinese
- 一十三萬五千七百九十二
- Chinese (financial)
- 壹拾參萬伍仟柒佰玖拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135792, here are decompositions:
- 5 + 135787 = 135792
- 11 + 135781 = 135792
- 61 + 135731 = 135792
- 71 + 135721 = 135792
- 73 + 135719 = 135792
- 131 + 135661 = 135792
- 179 + 135613 = 135792
- 191 + 135601 = 135792
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 89 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.112.
- Address
- 0.2.18.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.18.112
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 135,792 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 135792 first appears in π at position 398,263 of the decimal expansion (the 398,263ordinal-suffix:rd 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°.