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20131792 = 2419471409
BaseRepresentation
bin100110011001…
…0111111010000
31101212210121221
41030302333100
520123204132
61555254424
7333055162
oct114627720
941783557
1020131792
111040034a
1268aa414
13422b405
142960932
151b79e97
hex1332fd0

20131792 has 40 divisors (see below), whose sum is σ = 41961600. Its totient is φ = 9326592.

The previous prime is 20131763. The next prime is 20131801. The reversal of 20131792 is 29713102.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 13584 + ... + 14992.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 220131792 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 20131792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980800).

20131792 is an abundant number, since it is smaller than the sum of its proper divisors (21829808).

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

20131792 is a wasteful number, since it uses less digits than its factorization.

20131792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 20131792 is about 4486.8465540956. The cubic root of 20131792 is about 272.0366876695.

Adding to 20131792 its reverse (29713102), we get a palindrome (49844894).

The spelling of 20131792 in words is "twenty million, one hundred thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1409 1786 2818 3572 5636 7144 11272 14288 22544 26771 53542 66223 107084 132446 214168 264892 428336 529784 1059568 1258237 2516474 5032948 10065896 20131792