135,408
135,408 is a composite number, even.
135,408 (one hundred thirty-five thousand four hundred eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 13 × 31. Its proper divisors sum to 309,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210F0.
Interestingness
Properties
Primality
Prime factorization: 2 4 × 3 × 7 × 13 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,408 = [367; (1, 44, 1, 734)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand four hundred eight
- Ordinal
- 135408th
- Binary
- 100001000011110000
- Octal
- 410360
- Hexadecimal
- 0x210F0
- Base64
- AhDw
- One's complement
- 4,294,831,887 (32-bit)
- Scientific notation
- 1.35408 × 10⁵
- As a duration
- 135,408 s = 1 day, 13 hours, 36 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλευηʹ
- Mayan (base 20)
- 𝋰·𝋲·𝋪·𝋨
- Chinese
- 一十三萬五千四百零八
- Chinese (financial)
- 壹拾參萬伍仟肆佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135408, here are decompositions:
- 5 + 135403 = 135408
- 17 + 135391 = 135408
- 19 + 135389 = 135408
- 41 + 135367 = 135408
- 59 + 135349 = 135408
- 61 + 135347 = 135408
- 79 + 135329 = 135408
- 89 + 135319 = 135408
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 83 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.240.
- Address
- 0.2.16.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.16.240
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 135,408 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 135408 first appears in π at position 553,047 of the decimal expansion (the 553,047ordinal-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°.