• 195^{6} = 54980371265625 is the smallest sixth power that begins with 10 distinct digits.

• 195 can be written using four 4's:

195 has 8 divisors (see below), whose sum is σ = 336. Its totient is φ = 96.

The previous prime is 193. The next prime is 197. The reversal of 195 is 591.

195 is nontrivially palindromic in base 2, base 4, base 8 and base 14.

195 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14^{2}-1.

It is an interprime number because it is at equal distance from previous prime (193) and next prime (197).

It is a sphenic number, since it is the product of 3 distinct primes.

Together with 140 it forms a betrothed pair.

It is not a de Polignac number, because 195 - 2^{1} = 193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 13 = 195 / (1 + 9 + 5).

It is a D-number.

195 is an undulating number in base 8.

195 is a lucky number.

195 is a nontrivial repdigit in base 14.

It is a plaindrome in base 7, base 9, base 11 and base 14.

It is a nialpdrome in base 14, base 15 and base 16.

It is a zygodrome in base 2 and base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 195.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 21.

It is an arithmetic number, because the mean of its divisors is an integer number (42).

195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

195 is a deficient number, since it is larger than the sum of its proper divisors (141).

195 is a wasteful number, since it uses less digits than its factorization.

195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21.

The product of its digits is 45, while the sum is 15.

The square root of 195 is about 13.9642400438. The cubic root of 195 is about 5.7988899976.

Adding to 195 its sum of digits (15), we get a triangular number (210 = T_{20}).

The spelling of 195 in words is "one hundred ninety-five", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •