Search a number
-
+
20684192 = 252931719
BaseRepresentation
bin100111011100…
…1110110100000
31102220212101012
41032321312200
520243343232
62015200052
7340545524
oct116716640
942825335
1020684192
1110748381
126b16028
134392989
142a65d84
151c389b2
hex13b9da0

20684192 has 48 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 9649920.

The previous prime is 20684171. The next prime is 20684197. The reversal of 20684192 is 29148602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20684197) by changing a digit.

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, 28409 + ... + 29127.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 220684192 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 20684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

20684192 is an abundant number, since it is smaller than the sum of its proper divisors (22861408).

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

20684192 is a wasteful number, since it uses less digits than its factorization.

20684192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 20684192 is about 4547.9876868787. The cubic root of 20684192 is about 274.5024258719.

The spelling of 20684192 in words is "twenty million, six hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 719 899 928 992 1438 1798 2876 3596 5752 7192 11504 14384 20851 22289 23008 28768 41702 44578 83404 89156 166808 178312 333616 356624 646381 667232 713248 1292762 2585524 5171048 10342096 20684192