Search a number
-
+
360162 = 2321117107
BaseRepresentation
bin1010111111011100010
3200022001100
41113323202
543011122
611415230
73030015
oct1277342
9608040
10360162
11226660
12154516
13c7c1a
149537c
1571aac
hex57ee2

360162 has 48 divisors (see below), whose sum is σ = 909792. Its totient is φ = 101760.

The previous prime is 360091. The next prime is 360163. The reversal of 360162 is 261063.

It is a happy number.

360162 is a `hidden beast` number, since 3 + 601 + 62 = 666.

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

360162 is a modest number, since divided by 162 gives 36 as remainder.

It is not an unprimeable number, because it can be changed into a prime (360163) by changing a digit.

360162 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 23 ways as a sum of consecutive naturals, for example, 3313 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (18954).

2360162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454896).

360162 is an abundant number, since it is smaller than the sum of its proper divisors (549630).

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

360162 is a wasteful number, since it uses less digits than its factorization.

360162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 360162 is about 600.1349848159. The cubic root of 360162 is about 71.1485351695.

Subtracting from 360162 its reverse (261063), we obtain a palindrome (99099).

It can be divided in two parts, 3601 and 62, that added together give a palindrome (3663).

The spelling of 360162 in words is "three hundred sixty thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 107 153 187 198 214 306 321 374 561 642 963 1122 1177 1683 1819 1926 2354 3366 3531 3638 5457 7062 10593 10914 16371 20009 21186 32742 40018 60027 120054 180081 360162