132,048
132,048 is a composite number, even.
132,048 (one hundred thirty-two thousand forty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 131. Its proper divisors sum to 293,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 840,231
- Recamán's sequence
- a(228,276) = 132,048
- Square (n²)
- 17,436,674,304
- Cube (n³)
- 2,302,477,968,494,592
- Divisor count
- 60
- σ(n) — sum of divisors
- 425,568
- φ(n) — Euler's totient
- 37,440
- Sum of prime factors
- 152
Primality
Prime factorization: 2 4 × 3 2 × 7 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,048 = [363; (2, 1, 1, 1, 1, 10, 1, 2, 1, 5, 1, 2, 1, 10, 1, 1, 1, 1, 2, 726)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand forty-eight
- Ordinal
- 132048th
- Binary
- 100000001111010000
- Octal
- 401720
- Hexadecimal
- 0x203D0
- Base64
- AgPQ
- One's complement
- 4,294,835,247 (32-bit)
- Scientific notation
- 1.32048 × 10⁵
- As a duration
- 132,048 s = 1 day, 12 hours, 40 minutes, 48 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβμηʹ
- Mayan (base 20)
- 𝋰·𝋪·𝋢·𝋨
- Chinese
- 一十三萬二千零四十八
- Chinese (financial)
- 壹拾參萬貳仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132048, here are decompositions:
- 29 + 132019 = 132048
- 47 + 132001 = 132048
- 79 + 131969 = 132048
- 89 + 131959 = 132048
- 101 + 131947 = 132048
- 107 + 131941 = 132048
- 109 + 131939 = 132048
- 139 + 131909 = 132048
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8F 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.208.
- Address
- 0.2.3.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.3.208
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 132,048 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 132048 first appears in π at position 257,625 of the decimal expansion (the 257,625ordinal-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°.