Search a number
-
+
19200690 = 2325317673
BaseRepresentation
bin100100100111…
…1101010110010
31100010111101200
41021033222302
514403410230
61523312030
7322126455
oct111175262
940114350
1019200690
11a924843
12651b616
133c93672
14279b49c
151a44160
hex124fab2

19200690 has 48 divisors (see below), whose sum is σ = 50153688. Its totient is φ = 5096448.

The previous prime is 19200673. The next prime is 19200703. The reversal of 19200690 is 9600291.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8838729 + 10361961 = 2973^2 + 3219^2 .

It is a super-3 number, since 3×192006903 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28194 + ... + 28866.

Almost surely, 219200690 is an apocalyptic number.

19200690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19200690 is an abundant number, since it is smaller than the sum of its proper divisors (30952998).

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

19200690 is a wasteful number, since it uses less digits than its factorization.

19200690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19200690 is about 4381.8591944516. The cubic root of 19200690 is about 267.7763876940.

The spelling of 19200690 in words is "nineteen million, two hundred thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 317 634 673 951 1346 1585 1902 2019 2853 3170 3365 4038 4755 5706 6057 6730 9510 10095 12114 14265 20190 28530 30285 60570 213341 426682 640023 1066705 1280046 1920069 2133410 3200115 3840138 6400230 9600345 19200690