Search a number
-
+
108450 = 23252241
BaseRepresentation
bin11010011110100010
312111202200
4122132202
511432300
62154030
7631116
oct323642
9174680
10108450
1174531
1252916
133a494
142b746
1522200
hex1a7a2

108450 has 36 divisors (see below), whose sum is σ = 292578. Its totient is φ = 28800.

The previous prime is 108439. The next prime is 108457. The reversal of 108450 is 54801.

It can be written as a sum of positive squares in 3 ways, for example, as 91809 + 16641 = 303^2 + 129^2 .

It is a super-2 number, since 2×1084502 = 23522805000, which contains 22 as substring.

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

It is a Curzon number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (108457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 330 + ... + 570.

2108450 is an apocalyptic number.

108450 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 108450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146289).

108450 is an abundant number, since it is smaller than the sum of its proper divisors (184128).

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

108450 is a wasteful number, since it uses less digits than its factorization.

108450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 108450 is about 329.3174760015. The cubic root of 108450 is about 47.6880816181.

The spelling of 108450 in words is "one hundred eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 241 450 482 723 1205 1446 2169 2410 3615 4338 6025 7230 10845 12050 18075 21690 36150 54225 108450