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200984 = 2373797
BaseRepresentation
bin110001000100011000
3101012200212
4301010120
522412414
64150252
71464650
oct610430
9335625
10200984
11128003
1298388
1370634
1453360
153e83e
hex31118

200984 has 32 divisors (see below), whose sum is σ = 446880. Its totient is φ = 82944.

The previous prime is 200983. The next prime is 200987. The reversal of 200984 is 489002.

200984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 200984.

It is not an unprimeable number, because it can be changed into a prime (200983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2024 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2200984 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 200984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223440).

200984 is an abundant number, since it is smaller than the sum of its proper divisors (245896).

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

200984 is a wasteful number, since it uses less digits than its factorization.

200984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 200984 is about 448.3123910846. The cubic root of 200984 is about 58.5761056858.

Adding to 200984 its reverse (489002), we get a palindrome (689986).

It can be divided in two parts, 20098 and 4, that added together give a palindrome (20102).

The spelling of 200984 in words is "two hundred thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 97 148 194 259 296 388 518 679 776 1036 1358 2072 2716 3589 5432 7178 14356 25123 28712 50246 100492 200984