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116656 = 2423317
BaseRepresentation
bin11100011110110000
312221000121
4130132300
512213111
62300024
7664051
oct343660
9187017
10116656
117a711
1257614
1341137
1430728
1524871
hex1c7b0

116656 has 20 divisors (see below), whose sum is σ = 236592. Its totient is φ = 55616.

The previous prime is 116639. The next prime is 116657. The reversal of 116656 is 656611.

116656 = T89 + T90 + ... + T111.

It is a self number, because there is not a number n which added to its sum of digits gives 116656.

It is not an unprimeable number, because it can be changed into a prime (116657) by changing a digit.

116656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210 + ... + 526.

2116656 is an apocalyptic number.

116656 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 116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118296).

116656 is an abundant number, since it is smaller than the sum of its proper divisors (119936).

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

116656 is a wasteful number, since it uses less digits than its factorization.

116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 116656 is about 341.5494107739. The cubic root of 116656 is about 48.8617510851.

The spelling of 116656 in words is "one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 317 368 634 1268 2536 5072 7291 14582 29164 58328 116656