137,180
137,180 is a composite number, even.
137,180 (one hundred thirty-seven thousand one hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 19³. Its proper divisors sum to 166,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217DC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 81,731
- Square (n²)
- 18,818,352,400
- Cube (n³)
- 2,581,501,582,232,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 304,080
- φ(n) — Euler's totient
- 51,984
- Sum of prime factors
- 66
Primality
Prime factorization: 2 2 × 5 × 19 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,180 = [370; (2, 1, 1, 1, 4, 3, 1, 1, 3, 2, 5, 1, 1, 6, 1, 1, 2, 1, 1, 1, 1, 11, 1, 1, …)]
Representations
- In words
- one hundred thirty-seven thousand one hundred eighty
- Ordinal
- 137180th
- Binary
- 100001011111011100
- Octal
- 413734
- Hexadecimal
- 0x217DC
- Base64
- Ahfc
- One's complement
- 4,294,830,115 (32-bit)
- Scientific notation
- 1.3718 × 10⁵
- As a duration
- 137,180 s = 1 day, 14 hours, 6 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζρπʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋳·𝋠
- Chinese
- 一十三萬七千一百八十
- Chinese (financial)
- 壹拾參萬柒仟壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137180, here are decompositions:
- 3 + 137177 = 137180
- 37 + 137143 = 137180
- 61 + 137119 = 137180
- 103 + 137077 = 137180
- 151 + 137029 = 137180
- 181 + 136999 = 137180
- 193 + 136987 = 137180
- 229 + 136951 = 137180
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9F 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.220.
- Address
- 0.2.23.220
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.220
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 137,180 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 137180 first appears in π at position 498,427 of the decimal expansion (the 498,427ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.