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2160116 = 2272103107
BaseRepresentation
bin1000001111010111110100
311001202010022
420033113310
51023110431
6114144312
724234500
oct10172764
94052108
102160116
111245a22
12882098
135a829a
14403300
152ca07b
hex20f5f4

2160116 has 36 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 908208.

The previous prime is 2160113. The next prime is 2160127. The reversal of 2160116 is 6110612.

It is a happy number.

It is a super-2 number, since 2×21601162 = 9332202266912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2160094 and 2160103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160113) 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, 20135 + ... + 20241.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

22160116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

2160116 is an abundant number, since it is smaller than the sum of its proper divisors (2321452).

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

2160116 is a wasteful number, since it uses less digits than its factorization.

2160116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2160116 is about 1469.7333091415. The cubic root of 2160116 is about 129.2683953829.

Adding to 2160116 its reverse (6110612), we get a palindrome (8270728).

The spelling of 2160116 in words is "two million, one hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 103 107 196 206 214 412 428 721 749 1442 1498 2884 2996 5047 5243 10094 10486 11021 20188 20972 22042 44084 77147 154294 308588 540029 1080058 2160116