[go: up one dir, main page]

Search a number
-
+
190200 = 23352317
BaseRepresentation
bin101110011011111000
3100122220110
4232123320
522041300
64024320
71421343
oct563370
9318813
10190200
1111a99a
12920a0
136875a
144d45a
153b550
hex2e6f8

190200 has 48 divisors (see below), whose sum is σ = 591480. Its totient is φ = 50560.

The previous prime is 190181. The next prime is 190207. The reversal of 190200 is 2091.

It is a happy number.

190200 is nontrivially palindromic in base 9.

190200 is digitally balanced in base 3, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190207) by changing a digit.

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, 442 + ... + 758.

2190200 is an apocalyptic number.

190200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295740).

190200 is an abundant number, since it is smaller than the sum of its proper divisors (401280).

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

190200 is a wasteful number, since it uses less digits than its factorization.

190200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 190200 is about 436.1192497471. The cubic root of 190200 is about 57.5091352845.

Adding to 190200 its reverse (2091), we get a palindrome (192291).

The spelling of 190200 in words is "one hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 317 600 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 7925 9510 12680 15850 19020 23775 31700 38040 47550 63400 95100 190200