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20358 = 2331329
BaseRepresentation
bin100111110000110
31000221000
410332012
51122413
6234130
7113232
oct47606
930830
1020358
1114328
12b946
139360
1475c2
156073
hex4f86

20358 has 32 divisors (see below), whose sum is σ = 50400. Its totient is φ = 6048.

The previous prime is 20357. The next prime is 20359. The reversal of 20358 is 85302.

20358 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20357) and next prime (20359).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

220358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

20358 is an abundant number, since it is smaller than the sum of its proper divisors (30042).

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

20358 is a wasteful number, since it uses less digits than its factorization.

20358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20358 is about 142.6814634071. The cubic root of 20358 is about 27.3051795510.

It can be divided in two parts, 20 and 358, that added together give a triangular number (378 = T27).

The spelling of 20358 in words is "twenty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 3393 6786 10179 20358