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116256 = 2537173
BaseRepresentation
bin11100011000100000
312220110210
4130120200
512210011
62254120
7662640
oct343040
9186423
10116256
117a388
1257340
1340bba
1430520
15246a6
hex1c620

116256 has 48 divisors (see below), whose sum is σ = 350784. Its totient is φ = 33024.

The previous prime is 116243. The next prime is 116257. The reversal of 116256 is 652611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (116257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2116256 is an apocalyptic number.

116256 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 116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175392).

116256 is an abundant number, since it is smaller than the sum of its proper divisors (234528).

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

116256 is a wasteful number, since it uses less digits than its factorization.

116256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 116256 is about 340.9633411380. The cubic root of 116256 is about 48.8058400249.

Adding to 116256 its reverse (652611), we get a palindrome (768867).

The spelling of 116256 in words is "one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 38752 58128 116256