Search a number
-
+
19362090 = 23511232551
BaseRepresentation
bin100100111011…
…1000100101010
31100102200210110
41021313010222
514424041330
61530555150
7323401146
oct111670452
940380713
1019362090
11aa25030
126598ab6
13401bc77
142800226
151a76db0
hex127712a

19362090 has 64 divisors (see below), whose sum is σ = 52918272. Its totient is φ = 4488000.

The previous prime is 19362061. The next prime is 19362097. The reversal of 19362090 is 9026391.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (19362097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6315 + ... + 8865.

It is an arithmetic number, because the mean of its divisors is an integer number (826848).

Almost surely, 219362090 is an apocalyptic number.

19362090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19362090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26459136).

19362090 is an abundant number, since it is smaller than the sum of its proper divisors (33556182).

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

19362090 is a wasteful number, since it uses less digits than its factorization.

19362090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 19362090 is about 4400.2374935905. The cubic root of 19362090 is about 268.5245999051.

The spelling of 19362090 in words is "nineteen million, three hundred sixty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 2551 3795 5102 7590 7653 12755 15306 25510 28061 38265 56122 58673 76530 84183 117346 140305 168366 176019 280610 293365 352038 420915 586730 645403 841830 880095 1290806 1760190 1936209 3227015 3872418 6454030 9681045 19362090