Search a number
-
+
215028 = 223311181
BaseRepresentation
bin110100011111110100
3101220222000
4310133310
523340103
64335300
71553622
oct643764
9356860
10215028
11137610
12a4530
1376b48
1458512
1543aa3
hex347f4

215028 has 48 divisors (see below), whose sum is σ = 611520. Its totient is φ = 64800.

The previous prime is 214993. The next prime is 215051. The reversal of 215028 is 820512.

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

It is a self number, because there is not a number n which added to its sum of digits gives 215028.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 215028.

It is an unprimeable number.

215028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2215028 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 215028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

215028 is an abundant number, since it is smaller than the sum of its proper divisors (396492).

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

215028 is a wasteful number, since it uses less digits than its factorization.

215028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

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

The square root of 215028 is about 463.7111169683. The cubic root of 215028 is about 59.9098646615.

The spelling of 215028 in words is "two hundred fifteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1629 1991 2172 3258 3982 4887 5973 6516 7964 9774 11946 17919 19548 23892 35838 53757 71676 107514 215028