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162150 = 23522347
BaseRepresentation
bin100111100101100110
322020102120
4213211212
520142100
63250410
71243512
oct474546
9266376
10162150
1110090a
1279a06
1358a61
1443142
15330a0
hex27966

162150 has 48 divisors (see below), whose sum is σ = 428544. Its totient is φ = 40480.

The previous prime is 162143. The next prime is 162209. The reversal of 162150 is 51261.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3427 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2162150 is an apocalyptic number.

162150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 162150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272).

162150 is an abundant number, since it is smaller than the sum of its proper divisors (266394).

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

162150 is a wasteful number, since it uses less digits than its factorization.

162150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 162150 is about 402.6785318340. The cubic root of 162150 is about 54.5304377853.

Adding to 162150 its sum of digits (15), we get a triangular number (162165 = T569).

Subtracting from 162150 its reverse (51261), we obtain a square (110889 = 3332).

The spelling of 162150 in words is "one hundred sixty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 47 50 69 75 94 115 138 141 150 230 235 282 345 470 575 690 705 1081 1150 1175 1410 1725 2162 2350 3243 3450 3525 5405 6486 7050 10810 16215 27025 32430 54050 81075 162150