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204156 = 223253107
BaseRepresentation
bin110001110101111100
3101101001100
4301311330
523013111
64213100
71510131
oct616574
9341040
10204156
1112a427
129a190
1371c04
1454588
1540756
hex31d7c

204156 has 36 divisors (see below), whose sum is σ = 530712. Its totient is φ = 66144.

The previous prime is 204151. The next prime is 204161. The reversal of 204156 is 651402.

204156 = T1 + T2 + ... + T106.

It is a happy number.

204156 is a nontrivial binomial coefficient, being equal to C(108, 3).

It is an interprime number because it is at equal distance from previous prime (204151) and next prime (204161).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204151) by changing a digit.

204156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 106-th tetrahedral number.

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, 1855 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2204156 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 204156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356).

204156 is an abundant number, since it is smaller than the sum of its proper divisors (326556).

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

204156 is a wasteful number, since it uses less digits than its factorization.

204156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

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

The square root of 204156 is about 451.8362535255. The cubic root of 204156 is about 58.8826548258.

Adding to 204156 its reverse (651402), we get a palindrome (855558).

The spelling of 204156 in words is "two hundred four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 107 159 212 214 318 321 428 477 636 642 954 963 1284 1908 1926 3852 5671 11342 17013 22684 34026 51039 68052 102078 204156