Search a number
-
+
536364 = 223247317
BaseRepresentation
bin10000010111100101100
31000020202100
42002330230
5114130424
615255100
74362513
oct2027454
91006670
10536364
11336a84
1221a490
1315a19a
14dd67a
15a8dc9
hex82f2c

536364 has 36 divisors (see below), whose sum is σ = 1389024. Its totient is φ = 174432.

The previous prime is 536357. The next prime is 536377. The reversal of 536364 is 463635.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536364.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (38584).

2536364 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 536364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694512).

536364 is an abundant number, since it is smaller than the sum of its proper divisors (852660).

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

536364 is a wasteful number, since it uses less digits than its factorization.

536364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 536364 is about 732.3687595740. The cubic root of 536364 is about 81.2493459513.

Adding to 536364 its reverse (463635), we get a palindrome (999999).

It can be divided in two parts, 536 and 364, that added together give a square (900 = 302).

The spelling of 536364 in words is "five hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 317 423 564 634 846 951 1268 1692 1902 2853 3804 5706 11412 14899 29798 44697 59596 89394 134091 178788 268182 536364