Search a number
-
+
165000450 = 23527115493
BaseRepresentation
bin10011101010110…
…11010100000010
3102111110220001210
421311123110002
5314220003300
624212310550
74042323606
oct1165332402
9374426053
10165000450
118515830a
1247312456
1328251804
1417cb1506
15e744050
hex9d5b502

165000450 has 48 divisors (see below), whose sum is σ = 414991296. Its totient is φ = 43377600.

The previous prime is 165000439. The next prime is 165000457. The reversal of 165000450 is 54000561.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165000457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904 + ... + 18396.

It is an arithmetic number, because the mean of its divisors is an integer number (8645652).

Almost surely, 2165000450 is an apocalyptic number.

165000450 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 165000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207495648).

165000450 is an abundant number, since it is smaller than the sum of its proper divisors (249990846).

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

165000450 is a wasteful number, since it uses less digits than its factorization.

165000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15579 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 165000450 is about 12845.2500948794. The cubic root of 165000450 is about 548.4811538616.

The spelling of 165000450 in words is "one hundred sixty-five million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 426 710 1065 1775 2130 3550 5325 10650 15493 30986 46479 77465 92958 154930 232395 387325 464790 774650 1100003 1161975 2200006 2323950 3300009 5500015 6600018 11000030 16500045 27500075 33000090 55000150 82500225 165000450