Search a number
-
+
216372 = 223131973
BaseRepresentation
bin110100110100110100
3101222210210
4310310310
523410442
64345420
71560552
oct646464
9358723
10216372
11138622
12a5270
1377640
1458bd2
154419c
hex34d34

216372 has 48 divisors (see below), whose sum is σ = 580160. Its totient is φ = 62208.

The previous prime is 216371. The next prime is 216373. The reversal of 216372 is 273612.

It is a happy number.

216372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216371) and next prime (216373).

216372 is an undulating number in base 8.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2928 + ... + 3000.

2216372 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 216372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290080).

216372 is an abundant number, since it is smaller than the sum of its proper divisors (363788).

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

216372 is a wasteful number, since it uses less digits than its factorization.

216372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 216372 is about 465.1580376603. The cubic root of 216372 is about 60.0344246897.

Adding to 216372 its reverse (273612), we get a palindrome (489984).

The spelling of 216372 in words is "two hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 73 76 78 114 146 156 219 228 247 292 438 494 741 876 949 988 1387 1482 1898 2774 2847 2964 3796 4161 5548 5694 8322 11388 16644 18031 36062 54093 72124 108186 216372