132,120
132,120 is a composite number, even.
132,120 (one hundred thirty-two thousand one hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 367. Its proper divisors sum to 298,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20418.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,231
- Recamán's sequence
- a(228,132) = 132,120
- Square (n²)
- 17,455,694,400
- Cube (n³)
- 2,306,246,344,128,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 430,560
- φ(n) — Euler's totient
- 35,136
- Sum of prime factors
- 384
Primality
Prime factorization: 2 3 × 3 2 × 5 × 367
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,120 = [363; (2, 14, 2, 1, 35, 1, 2, 14, 2, 726)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand one hundred twenty
- Ordinal
- 132120th
- Binary
- 100000010000011000
- Octal
- 402030
- Hexadecimal
- 0x20418
- Base64
- AgQY
- One's complement
- 4,294,835,175 (32-bit)
- Scientific notation
- 1.3212 × 10⁵
- As a duration
- 132,120 s = 1 day, 12 hours, 42 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλβρκʹ
- Mayan (base 20)
- 𝋰·𝋪·𝋦·𝋠
- Chinese
- 一十三萬二千一百二十
- Chinese (financial)
- 壹拾參萬貳仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132120, here are decompositions:
- 7 + 132113 = 132120
- 11 + 132109 = 132120
- 17 + 132103 = 132120
- 61 + 132059 = 132120
- 71 + 132049 = 132120
- 73 + 132047 = 132120
- 101 + 132019 = 132120
- 151 + 131969 = 132120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 90 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.24.
- Address
- 0.2.4.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.4.24
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 132,120 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 132120 first appears in π at position 686,738 of the decimal expansion (the 686,738ordinal-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°.