Search a number
-
+
116512 = 2511331
BaseRepresentation
bin11100011100100000
312220211021
4130130200
512212022
62255224
7663454
oct343440
9186737
10116512
117a5a0
1257514
1341056
1430664
15247c7
hex1c720

116512 has 24 divisors (see below), whose sum is σ = 250992. Its totient is φ = 52800.

The previous prime is 116507. The next prime is 116531. The reversal of 116512 is 215611.

It is a happy number.

It is a super-2 number, since 2×1165122 = 27150092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (10458).

2116512 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 116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125496).

116512 is an abundant number, since it is smaller than the sum of its proper divisors (134480).

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

116512 is a wasteful number, since it uses less digits than its factorization.

116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 60, while the sum is 16.

The square root of 116512 is about 341.3385416269. The cubic root of 116512 is about 48.8416378483.

Subtracting 116512 from its reverse (215611), we obtain a palindrome (99099).

The spelling of 116512 in words is "one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3641 5296 7282 10592 14564 29128 58256 116512