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203058 = 23229389
BaseRepresentation
bin110001100100110010
3101022112200
4301210302
522444213
64204030
71504002
oct614462
9338480
10203058
11129619
1299616
137156b
1454002
1540273
hex31932

203058 has 24 divisors (see below), whose sum is σ = 456300. Its totient is φ = 65184.

The previous prime is 203057. The next prime is 203117. The reversal of 203058 is 850302.

203058 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 3249 = 447^2 + 57^2 .

It is a super-3 number, since 3×2030583 = 25117798244613336, which contains 333 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 203058.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203058.

It is not an unprimeable number, because it can be changed into a prime (203051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 716.

2203058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228150).

203058 is an abundant number, since it is smaller than the sum of its proper divisors (253242).

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

203058 is a wasteful number, since it uses less digits than its factorization.

203058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

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

The square root of 203058 is about 450.6195734763. The cubic root of 203058 is about 58.7769033264.

The spelling of 203058 in words is "two hundred three thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 389 522 778 1167 2334 3501 7002 11281 22562 33843 67686 101529 203058