138,180
138,180 is a composite number, even.
138,180 (one hundred thirty-eight thousand one hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 7² × 47. Its proper divisors sum to 321,468, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BC4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 81,831
- Recamán's sequence
- a(492,467) = 138,180
- Square (n²)
- 19,093,712,400
- Cube (n³)
- 2,638,369,179,432,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 459,648
- φ(n) — Euler's totient
- 30,912
- Sum of prime factors
- 73
Primality
Prime factorization: 2 2 × 3 × 5 × 7 2 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,180 = [371; (1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 742)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand one hundred eighty
- Ordinal
- 138180th
- Binary
- 100001101111000100
- Octal
- 415704
- Hexadecimal
- 0x21BC4
- Base64
- AhvE
- One's complement
- 4,294,829,115 (32-bit)
- Scientific notation
- 1.3818 × 10⁵
- As a duration
- 138,180 s = 1 day, 14 hours, 23 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρληρπʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋩·𝋠
- Chinese
- 一十三萬八千一百八十
- Chinese (financial)
- 壹拾參萬捌仟壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138180, here are decompositions:
- 17 + 138163 = 138180
- 23 + 138157 = 138180
- 37 + 138143 = 138180
- 41 + 138139 = 138180
- 67 + 138113 = 138180
- 73 + 138107 = 138180
- 79 + 138101 = 138180
- 101 + 138079 = 138180
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AF 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.196.
- Address
- 0.2.27.196
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.196
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 138,180 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 138180 first appears in π at position 61,129 of the decimal expansion (the 61,129ordinal-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°.