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116028 = 223211293
BaseRepresentation
bin11100010100111100
312220011100
4130110330
512203103
62253100
7662163
oct342474
9186140
10116028
117a1a0
1257190
1340a73
14303da
15245a3
hex1c53c

116028 has 36 divisors (see below), whose sum is σ = 321048. Its totient is φ = 35040.

The previous prime is 116027. The next prime is 116041. The reversal of 116028 is 820611.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 116028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2116028 is an apocalyptic number.

116028 is a gapful number since it is divisible by the number (18) 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 116028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524).

116028 is an abundant number, since it is smaller than the sum of its proper divisors (205020).

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

116028 is a wasteful number, since it uses less digits than its factorization.

116028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116028 is about 340.6288302537. The cubic root of 116028 is about 48.7739133172.

116028 divided by its sum of digits (18) gives a palindrome (6446).

Adding to 116028 its reverse (820611), we get a palindrome (936639).

The spelling of 116028 in words is "one hundred sixteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1172 1758 2637 3223 3516 5274 6446 9669 10548 12892 19338 29007 38676 58014 116028