Search a number
-
+
216760986 = 232131635683
BaseRepresentation
bin11001110101110…
…00001010011010
3120002212121011200
430322320022122
5420442322421
633301535030
75241303141
oct1472701232
9502777150
10216760986
111013a0812
1260714476
1335ba5350
1420b06758
151406a726
hexceb829a

216760986 has 48 divisors (see below), whose sum is σ = 508968096. Its totient is φ = 66274848.

The previous prime is 216760981. The next prime is 216761003. The reversal of 216760986 is 689067612.

216760986 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216760981) 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, 35301 + ... + 40983.

It is an arithmetic number, because the mean of its divisors is an integer number (10603502).

Almost surely, 2216760986 is an apocalyptic number.

216760986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216760986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254484048).

216760986 is an abundant number, since it is smaller than the sum of its proper divisors (292207110).

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

216760986 is a wasteful number, since it uses less digits than its factorization.

216760986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 216760986 is about 14722.8049637289. The cubic root of 216760986 is about 600.7037908081.

The spelling of 216760986 in words is "two hundred sixteen million, seven hundred sixty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2934 4238 5683 6357 11366 12714 17049 19071 34098 38142 51147 73879 102294 147758 221637 443274 664911 926329 1329822 1852658 2778987 5557974 8336961 12042277 16673922 24084554 36126831 72253662 108380493 216760986