Search a number
-
+
116386704 = 243271959103
BaseRepresentation
bin1101110111111…
…10101110010000
322010000001112200
412323332232100
5214243333304
615314323200
72612161560
oct673765620
9263001480
10116386704
115a774065
1232b89500
131b160395
1411658da0
15a33ee39
hex6efeb90

116386704 has 240 divisors, whose sum is σ = 402355200. Its totient is φ = 30668544.

The previous prime is 116386703. The next prime is 116386729. The reversal of 116386704 is 407683611.

116386704 is a `hidden beast` number, since 11 + 638 + 6 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116386703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129917 + ... + 1130019.

It is an arithmetic number, because the mean of its divisors is an integer number (1676480).

Almost surely, 2116386704 is an apocalyptic number.

116386704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116386704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201177600).

116386704 is an abundant number, since it is smaller than the sum of its proper divisors (285968496).

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

116386704 is a wasteful number, since it uses less digits than its factorization.

116386704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116386704 is about 10788.2669599894. The cubic root of 116386704 is about 488.2412360990.

The spelling of 116386704 in words is "one hundred sixteen million, three hundred eighty-six thousand, seven hundred four".