Search a number
-
+
190938 = 23112263
BaseRepresentation
bin101110100111011010
3100200220210
4232213122
522102223
64031550
71423446
oct564732
9320823
10190938
11120500
12925b6
1368ba7
144d826
153b893
hex2e9da

190938 has 24 divisors (see below), whose sum is σ = 421344. Its totient is φ = 57640.

The previous prime is 190921. The next prime is 190979. The reversal of 190938 is 839091.

It is a happy number.

It is an unprimeable number.

190938 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, 595 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2190938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672).

190938 is an abundant number, since it is smaller than the sum of its proper divisors (230406).

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

190938 is a wasteful number, since it uses less digits than its factorization.

190938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 190938 is about 436.9645294529. The cubic root of 190938 is about 57.5834201895.

It can be divided in two parts, 190 and 938, that added together give a triangular number (1128 = T47).

The spelling of 190938 in words is "one hundred ninety thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 263 363 526 726 789 1578 2893 5786 8679 17358 31823 63646 95469 190938