132,288
132,288 is a composite number, even.
132,288 (one hundred thirty-two thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 13 × 53. Its proper divisors sum to 251,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 768
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 882,231
- Recamán's sequence
- a(227,796) = 132,288
- Square (n²)
- 17,500,114,944
- Cube (n³)
- 2,315,055,205,711,872
- Divisor count
- 56
- σ(n) — sum of divisors
- 384,048
- φ(n) — Euler's totient
- 39,936
- Sum of prime factors
- 81
Primality
Prime factorization: 2 6 × 3 × 13 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,288 = [363; (1, 2, 2, 181, 2, 2, 1, 726)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand two hundred eighty-eight
- Ordinal
- 132288th
- Binary
- 100000010011000000
- Octal
- 402300
- Hexadecimal
- 0x204C0
- Base64
- AgTA
- One's complement
- 4,294,835,007 (32-bit)
- Scientific notation
- 1.32288 × 10⁵
- As a duration
- 132,288 s = 1 day, 12 hours, 44 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβσπηʹ
- Mayan (base 20)
- 𝋰·𝋪·𝋮·𝋨
- Chinese
- 一十三萬二千二百八十八
- Chinese (financial)
- 壹拾參萬貳仟貳佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132288, here are decompositions:
- 5 + 132283 = 132288
- 31 + 132257 = 132288
- 41 + 132247 = 132288
- 47 + 132241 = 132288
- 59 + 132229 = 132288
- 89 + 132199 = 132288
- 131 + 132157 = 132288
- 137 + 132151 = 132288
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 93 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.192.
- Address
- 0.2.4.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.4.192
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 132,288 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 132288 first appears in π at position 666,212 of the decimal expansion (the 666,212ordinal-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°.