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540150 = 235213277
BaseRepresentation
bin10000011110111110110
31000102221120
42003313312
5114241100
615324410
74406532
oct2036766
91012846
10540150
11339906
12220706
1315bb20
14100bc2
15aa0a0
hex83df6

540150 has 48 divisors (see below), whose sum is σ = 1447824. Its totient is φ = 132480.

The previous prime is 540149. The next prime is 540157. The reversal of 540150 is 51045.

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 not an unprimeable number, because it can be changed into a prime (540157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1812 + ... + 2088.

It is an arithmetic number, because the mean of its divisors is an integer number (30163).

2540150 is an apocalyptic number.

540150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723912).

540150 is an abundant number, since it is smaller than the sum of its proper divisors (907674).

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

540150 is a wasteful number, since it uses less digits than its factorization.

540150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 540150 is about 734.9489778209. The cubic root of 540150 is about 81.4400678487.

Adding to 540150 its reverse (51045), we get a palindrome (591195).

The spelling of 540150 in words is "five hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 277 325 390 554 650 831 975 1385 1662 1950 2770 3601 4155 6925 7202 8310 10803 13850 18005 20775 21606 36010 41550 54015 90025 108030 180050 270075 540150