117856 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 56448.

The previous prime is 117851. The next prime is 117877. The reversal of 117856 is 658711.

It is a happy number.

It is a pancake number, because a pancake can be divided into 117856 parts by 485 straight cuts.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117851) by changing a digit.

117856 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 3 ways as a sum of consecutive naturals, for example, 865 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2^{117856} is an apocalyptic number.

117856 is a gapful number since it is divisible by the number (16) 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 117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

117856 is an abundant number, since it is smaller than the sum of its proper divisors (124064).

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

117856 is a wasteful number, since it uses less digits than its factorization.

117856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 117856 is about 343.3016166580. The cubic root of 117856 is about 49.0287211877.

The spelling of 117856 in words is "one hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 127 232 254 464 508 928 1016 2032 3683 4064 7366 14732 29464 58928 117856

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