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199206 = 23371731
BaseRepresentation
bin110000101000100110
3101010021000
4300220212
522333311
64134130
71456530
oct605046
9333230
10199206
11126737
1297346
136c897
1452850
153e056
hex30a26

199206 has 64 divisors (see below), whose sum is σ = 552960. Its totient is φ = 51840.

The previous prime is 199193. The next prime is 199207. The reversal of 199206 is 602991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 199206.

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 199206.

It is not an unprimeable number, because it can be changed into a prime (199207) 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 31 ways as a sum of consecutive naturals, for example, 6411 + ... + 6441.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2199206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480).

199206 is an abundant number, since it is smaller than the sum of its proper divisors (353754).

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

199206 is a wasteful number, since it uses less digits than its factorization.

199206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 199206 is about 446.3249936985. The cubic root of 199206 is about 58.4028631235.

The spelling of 199206 in words is "one hundred ninety-nine thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 31 34 42 51 54 62 63 93 102 119 126 153 186 189 217 238 279 306 357 378 434 459 527 558 651 714 837 918 1054 1071 1302 1581 1674 1953 2142 3162 3213 3689 3906 4743 5859 6426 7378 9486 11067 11718 14229 22134 28458 33201 66402 99603 199206