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536016 = 24313859
BaseRepresentation
bin10000010110111010000
31000020021110
42002313100
5114123031
615253320
74361505
oct2026720
91006243
10536016
11336798
1221a240
13159c90
14dd4ac
15a8c46
hex82dd0

536016 has 40 divisors (see below), whose sum is σ = 1492960. Its totient is φ = 164736.

The previous prime is 535999. The next prime is 536017. The reversal of 536016 is 610635.

It is a super-3 number, since 3×5360163 = 462013339858956288, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535983 and 536001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536017) by changing a digit.

536016 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 7 ways as a sum of consecutive naturals, for example, 195 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (37324).

2536016 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 536016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746480).

536016 is an abundant number, since it is smaller than the sum of its proper divisors (956944).

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

536016 is a wasteful number, since it uses less digits than its factorization.

536016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 536016 is about 732.1311357947. The cubic root of 536016 is about 81.2317702691.

The spelling of 536016 in words is "five hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 859 1718 2577 3436 5154 6872 10308 11167 13744 20616 22334 33501 41232 44668 67002 89336 134004 178672 268008 536016