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20350 = 2521137
BaseRepresentation
bin100111101111110
31000220201
410331332
51122400
6234114
7113221
oct47576
930821
1020350
1114320
12b93a
139355
1475b8
15606a
hex4f7e

20350 has 24 divisors (see below), whose sum is σ = 42408. Its totient is φ = 7200.

The previous prime is 20347. The next prime is 20353. The reversal of 20350 is 5302.

It is an interprime number because it is at equal distance from previous prime (20347) and next prime (20353).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 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, 532 + ... + 568.

It is an arithmetic number, because the mean of its divisors is an integer number (1767).

220350 is an apocalyptic number.

20350 is an abundant number, since it is smaller than the sum of its proper divisors (22058).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204).

20350 is a wasteful number, since it uses less digits than its factorization.

20350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 20350 is about 142.6534261769. The cubic root of 20350 is about 27.3016024141.

Adding to 20350 its reverse (5302), we get a palindrome (25652).

It can be divided in two parts, 203 and 50, that added together give a triangular number (253 = T22).

The spelling of 20350 in words is "twenty thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 37 50 55 74 110 185 275 370 407 550 814 925 1850 2035 4070 10175 20350