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116788 = 2274397
BaseRepresentation
bin11100100000110100
312221012111
4130200310
512214123
62300404
7664330
oct344064
9187174
10116788
117a821
1257704
1341209
14307c0
152490d
hex1c834

116788 has 24 divisors (see below), whose sum is σ = 241472. Its totient is φ = 48384.

The previous prime is 116747. The next prime is 116789. The reversal of 116788 is 887611.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116789) by changing a digit.

116788 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1156 + ... + 1252.

2116788 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 116788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120736).

116788 is an abundant number, since it is smaller than the sum of its proper divisors (124684).

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

116788 is a wasteful number, since it uses less digits than its factorization.

116788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 116788 is about 341.7425931897. The cubic root of 116788 is about 48.8801736837.

The spelling of 116788 in words is "one hundred sixteen thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 28 43 86 97 172 194 301 388 602 679 1204 1358 2716 4171 8342 16684 29197 58394 116788