Search a number
-
+
215832 = 23317232
BaseRepresentation
bin110100101100011000
3101222001210
4310230120
523401312
64343120
71556151
oct645430
9358053
10215832
11138181
12a4aa0
1377316
1458928
1543e3c
hex34b18

215832 has 48 divisors (see below), whose sum is σ = 597240. Its totient is φ = 64768.

The previous prime is 215827. The next prime is 215833. The reversal of 215832 is 238512.

215832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215799 and 215808.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 215832.

It is not an unprimeable number, because it can be changed into a prime (215833) by changing a digit.

215832 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 11 ways as a sum of consecutive naturals, for example, 9373 + ... + 9395.

215832 is a Friedman number, since it can be written as 51*23^2*8, using all its digits and the basic arithmetic operations.

2215832 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 215832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298620).

215832 is an abundant number, since it is smaller than the sum of its proper divisors (381408).

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

215832 is a wasteful number, since it uses less digits than its factorization.

215832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 215832 is about 464.5772271647. The cubic root of 215832 is about 59.9844404098.

The spelling of 215832 in words is "two hundred fifteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 529 552 782 1058 1173 1564 1587 2116 2346 3128 3174 4232 4692 6348 8993 9384 12696 17986 26979 35972 53958 71944 107916 215832