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536112 = 24331773
BaseRepresentation
bin10000010111000110000
31000020102000
42002320300
5114123422
615254000
74362003
oct2027060
91006360
10536112
11336875
1221a300
1315a035
14dd53a
15a8cac
hex82e30

536112 has 80 divisors (see below), whose sum is σ = 1651680. Its totient is φ = 165888.

The previous prime is 536111. The next prime is 536141. The reversal of 536112 is 211635.

536112 is a `hidden beast` number, since 53 + 611 + 2 = 666.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (536111) 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 15 ways as a sum of consecutive naturals, for example, 7308 + ... + 7380.

It is an arithmetic number, because the mean of its divisors is an integer number (20646).

2536112 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 536112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825840).

536112 is an abundant number, since it is smaller than the sum of its proper divisors (1115568).

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

536112 is a wasteful number, since it uses less digits than its factorization.

536112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 536112 is about 732.1966948846. The cubic root of 536112 is about 81.2366194928.

Adding to 536112 its sum of digits (18), we get a triangular number (536130 = T1035).

Adding to 536112 its reverse (211635), we get a palindrome (747747).

The spelling of 536112 in words is "five hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 73 102 108 136 144 146 153 204 216 219 272 292 306 408 432 438 459 584 612 657 816 876 918 1168 1224 1241 1314 1752 1836 1971 2448 2482 2628 3504 3672 3723 3942 4964 5256 7344 7446 7884 9928 10512 11169 14892 15768 19856 22338 29784 31536 33507 44676 59568 67014 89352 134028 178704 268056 536112