Search a number
-
+
2013535792 = 241952112713
BaseRepresentation
bin111100000000100…
…0001111000110000
312012022211012211201
41320001001320300
513110431121132
6531445020544
7100616525512
oct17001017060
95168735751
102013535792
11943652274
124823b4754
132612063c8
141515bdbb2
15bbb882e7
hex78041e30

2013535792 has 40 divisors (see below), whose sum is σ = 4114758960. Its totient is φ = 951874560.

The previous prime is 2013535781. The next prime is 2013535793. The reversal of 2013535792 is 2975353102.

It is not an unprimeable number, because it can be changed into a prime (2013535793) 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 7 ways as a sum of consecutive naturals, for example, 152028 + ... + 164740.

It is an arithmetic number, because the mean of its divisors is an integer number (102868974).

Almost surely, 22013535792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013535792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057379480).

2013535792 is an abundant number, since it is smaller than the sum of its proper divisors (2101223168).

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

2013535792 is a wasteful number, since it uses less digits than its factorization.

2013535792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 2013535792 is about 44872.4391135583. The cubic root of 2013535792 is about 1262.7569998910.

Adding to 2013535792 its reverse (2975353102), we get a palindrome (4988888894).

The spelling of 2013535792 in words is "two billion, thirteen million, five hundred thirty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 521 1042 2084 4168 8336 9899 12713 19798 25426 39596 50852 79192 101704 158384 203408 241547 483094 966188 1932376 3864752 6623473 13246946 26493892 52987784 105975568 125845987 251691974 503383948 1006767896 2013535792