135,600
135,600 is a composite number, even.
135,600 (one hundred thirty-five thousand six hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 113. Its proper divisors sum to 302,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x211B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 6,531
- Square (n²)
- 18,387,360,000
- Cube (n³)
- 2,493,326,016,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 438,216
- φ(n) — Euler's totient
- 35,840
- Sum of prime factors
- 134
Primality
Prime factorization: 2 4 × 3 × 5 2 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,600 = [368; (4, 5, 2, 5, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 5, 2, 5, 4, 736)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand six hundred
- Ordinal
- 135600th
- Binary
- 100001000110110000
- Octal
- 410660
- Hexadecimal
- 0x211B0
- Base64
- AhGw
- One's complement
- 4,294,831,695 (32-bit)
- Scientific notation
- 1.356 × 10⁵
- As a duration
- 135,600 s = 1 day, 13 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλεχʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋠·𝋠
- Chinese
- 一十三萬五千六百
- Chinese (financial)
- 壹拾參萬伍仟陸佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135600, here are decompositions:
- 7 + 135593 = 135600
- 11 + 135589 = 135600
- 19 + 135581 = 135600
- 29 + 135571 = 135600
- 41 + 135559 = 135600
- 67 + 135533 = 135600
- 89 + 135511 = 135600
- 103 + 135497 = 135600
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 86 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.176.
- Address
- 0.2.17.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.17.176
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 135,600 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 135600 first appears in π at position 684,036 of the decimal expansion (the 684,036ordinal-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°.