Search a number
-
+
165088 = 2571167
BaseRepresentation
bin101000010011100000
322101110101
4220103200
520240323
63312144
71255210
oct502340
9271411
10165088
11103040
127b654
135a1b1
1444240
1533dad
hex284e0

165088 has 48 divisors (see below), whose sum is σ = 411264. Its totient is φ = 63360.

The previous prime is 165083. The next prime is 165089. The reversal of 165088 is 880561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2431 + ... + 2497.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2165088 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 165088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632).

165088 is an abundant number, since it is smaller than the sum of its proper divisors (246176).

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

165088 is a wasteful number, since it uses less digits than its factorization.

165088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 165088 is about 406.3102263050. The cubic root of 165088 is about 54.8578145586.

The spelling of 165088 in words is "one hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 67 77 88 112 134 154 176 224 268 308 352 469 536 616 737 938 1072 1232 1474 1876 2144 2464 2948 3752 5159 5896 7504 10318 11792 15008 20636 23584 41272 82544 165088