Search a number
-
+
19985436 = 22322324137
BaseRepresentation
bin100110000111…
…1010000011100
31101121100212100
41030033100130
520104013221
61552205100
7331605402
oct114172034
941540770
1019985436
1110310399
126839790
1341a9903
142923472
151b4b926
hex130f41c

19985436 has 36 divisors (see below), whose sum is σ = 52717392. Its totient is φ = 6371904.

The previous prime is 19985431. The next prime is 19985443. The reversal of 19985436 is 63458991.

It is a happy number.

19985436 is a `hidden beast` number, since 19 + 98 + 543 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×199854362 = 798835304220192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19985391 and 19985400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19985431) 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, 11241 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (1464372).

Almost surely, 219985436 is an apocalyptic number.

It is an amenable number.

19985436 is an abundant number, since it is smaller than the sum of its proper divisors (32731956).

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

19985436 is a wasteful number, since it uses less digits than its factorization.

19985436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170 (or 24165 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 19985436 is about 4470.5073537575. The cubic root of 19985436 is about 271.3758576962.

The spelling of 19985436 in words is "nineteen million, nine hundred eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 24137 48274 72411 96548 144822 217233 289644 434466 555151 868932 1110302 1665453 2220604 3330906 4996359 6661812 9992718 19985436