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118016 = 28461
BaseRepresentation
bin11100110100000000
312222212222
4130310000
512234031
62310212
71001033
oct346400
9188788
10118016
1180738
1258368
1341942
143101a
1524e7b
hex1cd00

118016 has 18 divisors (see below), whose sum is σ = 236082. Its totient is φ = 58880.

The previous prime is 117991. The next prime is 118033. The reversal of 118016 is 610811.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 25600 = 304^2 + 160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 117985 and 118003.

It is a congruent number.

It is an unprimeable number.

118016 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 as a sum of consecutive naturals, namely, 26 + ... + 486.

2118016 is an apocalyptic number.

118016 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 118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118041).

118016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

118016 is an frugal number, since it uses more digits than its factorization.

118016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 118016 is about 343.5345688573. The cubic root of 118016 is about 49.0508981046.

Adding to 118016 its reverse (610811), we get a palindrome (728827).

The spelling of 118016 in words is "one hundred eighteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 461 922 1844 3688 7376 14752 29504 59008 118016