135,972
135,972 is a composite number, even.
135,972 (one hundred thirty-five thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 1,259. Its proper divisors sum to 216,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21324.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,890
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 279,531
- Square (n²)
- 18,488,384,784
- Cube (n³)
- 2,513,902,655,850,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 352,800
- φ(n) — Euler's totient
- 45,288
- Sum of prime factors
- 1,272
Primality
Prime factorization: 2 2 × 3 3 × 1259
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,972 = [368; (1, 2, 1, 9, 2, 1, 5, 11, 1, 10, 1, 1, 1, 1, 6, 1, 5, 2, 22, 1, 1, 2, 2, 2, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand nine hundred seventy-two
- Ordinal
- 135972nd
- Binary
- 100001001100100100
- Octal
- 411444
- Hexadecimal
- 0x21324
- Base64
- AhMk
- One's complement
- 4,294,831,323 (32-bit)
- Scientific notation
- 1.35972 × 10⁵
- As a duration
- 135,972 s = 1 day, 13 hours, 46 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλεϡοβʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋲·𝋬
- Chinese
- 一十三萬五千九百七十二
- Chinese (financial)
- 壹拾參萬伍仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135972, here are decompositions:
- 43 + 135929 = 135972
- 59 + 135913 = 135972
- 61 + 135911 = 135972
- 73 + 135899 = 135972
- 79 + 135893 = 135972
- 113 + 135859 = 135972
- 131 + 135841 = 135972
- 173 + 135799 = 135972
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 8C A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.36.
- Address
- 0.2.19.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.19.36
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 135,972 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 135972 first appears in π at position 723,759 of the decimal expansion (the 723,759ordinal-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°.