Search a number
-
+
196146 = 23217641
BaseRepresentation
bin101111111000110010
3100222001200
4233320302
522234041
64112030
71444566
oct577062
9328050
10196146
11124405
1295616
136b382
14516a6
153d1b6
hex2fe32

196146 has 24 divisors (see below), whose sum is σ = 450684. Its totient is φ = 61440.

The previous prime is 196139. The next prime is 196159. The reversal of 196146 is 641691.

It can be written as a sum of positive squares in 2 ways, for example, as 168921 + 27225 = 411^2 + 165^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 196146.

It is an unprimeable number.

196146 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 626.

2196146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225342).

196146 is an abundant number, since it is smaller than the sum of its proper divisors (254538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196146 is a wasteful number, since it uses less digits than its factorization.

196146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 196146 is about 442.8837319207. The cubic root of 196146 is about 58.1022769313.

The spelling of 196146 in words is "one hundred ninety-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 641 1282 1923 3846 5769 10897 11538 21794 32691 65382 98073 196146