136,728
136,728 is a composite number, even.
136,728 (one hundred thirty-six thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3⁴ × 211. Its proper divisors sum to 248,052, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21618.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 2,016
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 827,631
- Square (n²)
- 18,694,545,984
- Cube (n³)
- 2,556,067,883,300,352
- Divisor count
- 40
- σ(n) — sum of divisors
- 384,780
- φ(n) — Euler's totient
- 45,360
- Sum of prime factors
- 229
Primality
Prime factorization: 2 3 × 3 4 × 211
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√136,728 = [369; (1, 3, 3, 3, 9, 1, 31, 3, 1, 81, 2, 2, 1, 1, 2, 1, 91, 1, 2, 1, 1, 2, 2, 81, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-six thousand seven hundred twenty-eight
- Ordinal
- 136728th
- Binary
- 100001011000011000
- Octal
- 413030
- Hexadecimal
- 0x21618
- Base64
- AhYY
- One's complement
- 4,294,830,567 (32-bit)
- Scientific notation
- 1.36728 × 10⁵
- As a duration
- 136,728 s = 1 day, 13 hours, 58 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλϛψκηʹ
- Mayan (base 20)
- 𝋱·𝋡·𝋰·𝋨
- Chinese
- 一十三萬六千七百二十八
- Chinese (financial)
- 壹拾參萬陸仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136728, here are decompositions:
- 17 + 136711 = 136728
- 19 + 136709 = 136728
- 37 + 136691 = 136728
- 71 + 136657 = 136728
- 79 + 136649 = 136728
- 107 + 136621 = 136728
- 127 + 136601 = 136728
- 181 + 136547 = 136728
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 98 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.24.
- Address
- 0.2.22.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.22.24
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 136,728 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 136728 first appears in π at position 456,244 of the decimal expansion (the 456,244ordinal-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°.