Search a number
-
+
535716 = 223223647
BaseRepresentation
bin10000010110010100100
31000012212100
42002302210
5114120331
615252100
74360566
oct2026244
91005770
10535716
11336545
1221a030
13159abc
14dd336
15a8ae6
hex82ca4

535716 has 36 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 170544.

The previous prime is 535709. The next prime is 535727. The reversal of 535716 is 617535.

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 a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 535716.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 505 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2535716 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 535716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

535716 is an abundant number, since it is smaller than the sum of its proper divisors (879516).

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

535716 is a wasteful number, since it uses less digits than its factorization.

535716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 535716 is about 731.9262257906. The cubic root of 535716 is about 81.2166127123.

It can be divided in two parts, 5 and 35716, that added together give a square (35721 = 1892).

The spelling of 535716 in words is "five hundred thirty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 647 828 1294 1941 2588 3882 5823 7764 11646 14881 23292 29762 44643 59524 89286 133929 178572 267858 535716