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168036 = 223111967
BaseRepresentation
bin101001000001100100
322112111120
4221001210
520334121
63333540
71266621
oct510144
9275446
10168036
11105280
12812b0
135b63b
1445348
1534bc6
hex29064

168036 has 48 divisors (see below), whose sum is σ = 456960. Its totient is φ = 47520.

The previous prime is 168029. The next prime is 168037. The reversal of 168036 is 630861.

168036 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 167997 and 168015.

It is not an unprimeable number, because it can be changed into a prime (168037) by changing a digit.

168036 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 15 ways as a sum of consecutive naturals, for example, 2475 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2168036 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 168036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

168036 is an abundant number, since it is smaller than the sum of its proper divisors (288924).

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

168036 is a wasteful number, since it uses less digits than its factorization.

168036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 168036 is about 409.9219437893. The cubic root of 168036 is about 55.1824245664.

Adding to 168036 its reverse (630861), we get a palindrome (798897).

The spelling of 168036 in words is "one hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 67 76 114 132 134 201 209 228 268 402 418 627 737 804 836 1254 1273 1474 2211 2508 2546 2948 3819 4422 5092 7638 8844 14003 15276 28006 42009 56012 84018 168036