Search a number
-
+
116733852 = 22331915659
BaseRepresentation
bin1101111010100…
…11011110011100
322010122200202000
412331103132130
5214340440402
615330002300
72615135634
oct675233634
9263580660
10116733852
115a990964
1233116390
131b2523b1
14117096c4
15a3acc1c
hex6f5379c

116733852 has 48 divisors (see below), whose sum is σ = 304281600. Its totient is φ = 38700720.

The previous prime is 116733839. The next prime is 116733871. The reversal of 116733852 is 258337611.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17799 + ... + 23457.

It is an arithmetic number, because the mean of its divisors is an integer number (6339200).

Almost surely, 2116733852 is an apocalyptic number.

116733852 is a gapful number since it is divisible by the number (12) 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 116733852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152140800).

116733852 is an abundant number, since it is smaller than the sum of its proper divisors (187547748).

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

116733852 is a wasteful number, since it uses less digits than its factorization.

116733852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5855 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 116733852 is about 10804.3441263225. The cubic root of 116733852 is about 488.7261819054.

The spelling of 116733852 in words is "one hundred sixteen million, seven hundred thirty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 5659 6876 10314 11318 16977 20628 22636 33954 50931 67908 101862 152793 203724 305586 611172 1080869 2161738 3242607 4323476 6485214 9727821 12970428 19455642 29183463 38911284 58366926 116733852