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201828 = 223112139
BaseRepresentation
bin110001010001100100
3101020212010
4301101210
522424303
64154220
71500264
oct612144
9336763
10201828
11128700
1298970
1370b33
14537a4
153ec03
hex31464

201828 has 36 divisors (see below), whose sum is σ = 521360. Its totient is φ = 60720.

The previous prime is 201827. The next prime is 201829. The reversal of 201828 is 828102.

It is an interprime number because it is at equal distance from previous prime (201827) and next prime (201829).

It is not an unprimeable number, because it can be changed into a prime (201821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1383 + ... + 1521.

2201828 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 201828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260680).

201828 is an abundant number, since it is smaller than the sum of its proper divisors (319532).

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

201828 is a wasteful number, since it uses less digits than its factorization.

201828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 201828 is about 449.2527128466. The cubic root of 201828 is about 58.6579848264.

The spelling of 201828 in words is "two hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 139 242 278 363 417 484 556 726 834 1452 1529 1668 3058 4587 6116 9174 16819 18348 33638 50457 67276 100914 201828