137216
Number 137216: Properties, Factors, and Mathematical Facts
Short answer
The number 137216 is an even composite number with 24 positive divisors. Its prime factorization is 2¹¹ × 67. It is also an abundant number, which gives it several notable mathematical relationships.
Is 137216 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 137216?
Prime factorization
2 to the power of 11 times 67
What are the divisors of 137216?
Divisor count
24
Divisor sum
278,460
Proper divisor sum
141,244
- 1
- 2
- 4
- 8
- 16
- 32
- 64
- 67
- 128
- 134
- 256
- 268
- 512
- 536
- 1024
- 1072
- 2048
- 2144
- 4288
- 8576
- 17152
- 34304
- 68608
- 137216
How is 137216 classified?
How is 137216 represented in other numeral systems?
Decimal
137216
Binary
100001100000000000
Octal
414000
Hexadecimal
21800
Roman
No conventional Roman numeral
In words
one hundred thirty seven thousand two hundred sixteen
Roots and powers
Square root
370.426781 Approximate
Cube root
51.578446 Approximate
Nearest lower square
136900
Nearest higher square
137641
Nearest lower cube
132651
Nearest higher cube
140608
What are the digit properties of 137216?
Which numbers are related to 137216?
Why these results are true
- 137216 is composite because it has positive divisors other than 1 and itself.
- 137216 is abundant because the sum of its proper divisors (141244) is greater than 137216.
Compare this number
FAQ for 137216
- Is 137216 prime?
- No
- What is the prime factorization of 137216?
- 2¹¹ × 67
- Is 137216 a perfect square?
- No
- What is 137216 in binary?
- 100001100000000000