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216036 = 223217353
BaseRepresentation
bin110100101111100100
3101222100100
4310233210
523403121
64344100
71556562
oct645744
9358310
10216036
11138347
12a5030
1377442
1458a32
1544026
hex34be4

216036 has 36 divisors (see below), whose sum is σ = 579852. Its totient is φ = 67584.

The previous prime is 216023. The next prime is 216037. The reversal of 216036 is 630612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 86436 = 360^2 + 294^2 .

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 an Ulam number.

It is a nialpdrome in base 13.

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 216036.

It is not an unprimeable number, because it can be changed into a prime (216037) by changing a digit.

216036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (16107).

216036 is a Friedman number, since it can be written as 6^2+(10*6)^3, using all its digits and the basic arithmetic operations.

2216036 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 216036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289926).

216036 is an abundant number, since it is smaller than the sum of its proper divisors (363816).

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

216036 is a wasteful number, since it uses less digits than its factorization.

216036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 216036 is about 464.7967297647. The cubic root of 216036 is about 60.0033331482.

Adding to 216036 its reverse (630612), we get a palindrome (846648).

It can be divided in two parts, 21603 and 6, that added together give a square (21609 = 1472).

The spelling of 216036 in words is "two hundred sixteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 353 612 706 1059 1412 2118 3177 4236 6001 6354 12002 12708 18003 24004 36006 54009 72012 108018 216036