Search a number
-
+
116388162 = 232113715887
BaseRepresentation
bin1101110111111…
…11000101000010
322010000010112200
412323333011002
5214243410122
615314334030
72612166042
oct673770502
9263003480
10116388162
115a775170
1232b8a316
131b160c47
1411659722
15a3405ac
hex6eff142

116388162 has 48 divisors (see below), whose sum is σ = 282552192. Its totient is φ = 34313760.

The previous prime is 116388157. The next prime is 116388163. The reversal of 116388162 is 261883611.

116388162 is a `hidden beast` number, since 1 + 1 + 638 + 8 + 16 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (116388163) 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, 618 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (5886504).

Almost surely, 2116388162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116388162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141276096).

116388162 is an abundant number, since it is smaller than the sum of its proper divisors (166164030).

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

116388162 is a wasteful number, since it uses less digits than its factorization.

116388162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943 (or 15940 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116388162 is about 10788.3345331891. The cubic root of 116388162 is about 488.2432748564.

The spelling of 116388162 in words is "one hundred sixteen million, three hundred eighty-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 15887 31774 47661 95322 142983 174757 285966 349514 524271 587819 1048542 1175638 1572813 1763457 3145626 3526914 5290371 6466009 10580742 12932018 19398027 38796054 58194081 116388162