Search a number
-
+
190242 = 23313271
BaseRepresentation
bin101110011100100010
3100122222000
4232130202
522041432
64024430
71421433
oct563442
9318860
10190242
1111aa28
1292116
1368790
144d48a
153b57c
hex2e722

190242 has 32 divisors (see below), whose sum is σ = 456960. Its totient is φ = 58320.

The previous prime is 190207. The next prime is 190243. The reversal of 190242 is 242091.

190242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (190243) by changing a digit.

190242 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2190242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

190242 is an abundant number, since it is smaller than the sum of its proper divisors (266718).

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

190242 is a wasteful number, since it uses less digits than its factorization.

190242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 190242 is about 436.1673990568. The cubic root of 190242 is about 57.5133680324.

The spelling of 190242 in words is "one hundred ninety thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 542 702 813 1626 2439 3523 4878 7046 7317 10569 14634 21138 31707 63414 95121 190242