135,460
135,460 is a composite number, even.
135,460 (one hundred thirty-five thousand four hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 521. Its proper divisors sum to 171,476, more than the number itself, making it an abundant number. It is the 520th triangular number. Written other ways, in hexadecimal, 0x21124.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 64,531
- Square (n²)
- 18,349,411,600
- Cube (n³)
- 2,485,611,295,336,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 306,936
- φ(n) — Euler's totient
- 49,920
- Sum of prime factors
- 543
Primality
Prime factorization: 2 2 × 5 × 13 × 521
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,460 = [368; (20, 2, 4, 8, 1, 6, 2, 1, 1, 10, 1, 9, 1, 3, 14, 5, 1, 1, 1, 2, 1, 24, 1, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand four hundred sixty
- Ordinal
- 135460th
- Binary
- 100001000100100100
- Octal
- 410444
- Hexadecimal
- 0x21124
- Base64
- AhEk
- One's complement
- 4,294,831,835 (32-bit)
- Scientific notation
- 1.3546 × 10⁵
- As a duration
- 135,460 s = 1 day, 13 hours, 37 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλευξʹ
- Mayan (base 20)
- 𝋰·𝋲·𝋭·𝋠
- Chinese
- 一十三萬五千四百六十
- Chinese (financial)
- 壹拾參萬伍仟肆佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135460, here are decompositions:
- 11 + 135449 = 135460
- 29 + 135431 = 135460
- 71 + 135389 = 135460
- 107 + 135353 = 135460
- 113 + 135347 = 135460
- 131 + 135329 = 135460
- 179 + 135281 = 135460
- 239 + 135221 = 135460
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 84 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.36.
- Address
- 0.2.17.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.17.36
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 135,460 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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.