137,216
137,216 is a composite number, even.
137,216 (one hundred thirty-seven thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2¹¹ × 67. Its proper divisors sum to 141,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21800.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 252
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 612,731
- Square (n²)
- 18,828,230,656
- Cube (n³)
- 2,583,534,497,693,696
- Divisor count
- 24
- σ(n) — sum of divisors
- 278,460
- φ(n) — Euler's totient
- 67,584
- Sum of prime factors
- 89
Primality
Prime factorization: 2 11 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,216 = [370; (2, 2, 1, 10, 1, 2, 6, 3, 1, 2, 7, 2, 3, 2, 2, 3, 2, 1, 2, 2, 2, 11, 6, 7, …)]
Representations
- In words
- one hundred thirty-seven thousand two hundred sixteen
- Ordinal
- 137216th
- Binary
- 100001100000000000
- Octal
- 414000
- Hexadecimal
- 0x21800
- Base64
- AhgA
- One's complement
- 4,294,830,079 (32-bit)
- Scientific notation
- 1.37216 × 10⁵
- As a duration
- 137,216 s = 1 day, 14 hours, 6 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζσιϛʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋠·𝋰
- Chinese
- 一十三萬七千二百一十六
- Chinese (financial)
- 壹拾參萬柒仟貳佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137216, here are decompositions:
- 7 + 137209 = 137216
- 19 + 137197 = 137216
- 73 + 137143 = 137216
- 97 + 137119 = 137216
- 127 + 137089 = 137216
- 139 + 137077 = 137216
- 223 + 136993 = 137216
- 229 + 136987 = 137216
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A0 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.0.
- Address
- 0.2.24.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.0
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 137,216 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.