135,200
135,200 is a composite number, even.
135,200 (one hundred thirty-five thousand two hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2⁵ × 5² × 13². Its proper divisors sum to 222,199, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21020.
Interestingness
Properties
Primality
Prime factorization: 2 5 × 5 2 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,200 = [367; (1, 2, 3, 1, 1, 14, 2, 3, 1, 6, 1, 1, 2, 1, 2, 1, 45, 4, 3, 29, 9, 3, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand two hundred
- Ordinal
- 135200th
- Binary
- 100001000000100000
- Octal
- 410040
- Hexadecimal
- 0x21020
- Base64
- AhAg
- One's complement
- 4,294,832,095 (32-bit)
- Scientific notation
- 1.352 × 10⁵
- As a duration
- 135,200 s = 1 day, 13 hours, 33 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ρλεσʹ
- Mayan (base 20)
- 𝋰·𝋲·𝋠·𝋠
- Chinese
- 一十三萬五千二百
- Chinese (financial)
- 壹拾參萬伍仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135200, here are decompositions:
- 3 + 135197 = 135200
- 7 + 135193 = 135200
- 19 + 135181 = 135200
- 151 + 135049 = 135200
- 157 + 135043 = 135200
- 181 + 135019 = 135200
- 193 + 135007 = 135200
- 211 + 134989 = 135200
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 80 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.32.
- Address
- 0.2.16.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.16.32
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 135,200 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 135200 first appears in π at position 706,276 of the decimal expansion (the 706,276ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.