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116896 = 2513281
BaseRepresentation
bin11100100010100000
312221100111
4130202200
512220041
62301104
7664543
oct344240
9187314
10116896
117a90a
1257794
1341290
143085a
1524981
hex1c8a0

116896 has 24 divisors (see below), whose sum is σ = 248724. Its totient is φ = 53760.

The previous prime is 116881. The next prime is 116903. The reversal of 116896 is 698611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 1296 = 340^2 + 36^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276 + ... + 556.

2116896 is an apocalyptic number.

116896 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 116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124362).

116896 is an abundant number, since it is smaller than the sum of its proper divisors (131828).

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

116896 is a wasteful number, since it uses less digits than its factorization.

116896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 116896 is about 341.9005703417. The cubic root of 116896 is about 48.8952363965.

The spelling of 116896 in words is "one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 281 416 562 1124 2248 3653 4496 7306 8992 14612 29224 58448 116896