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2118168 = 2332133173
BaseRepresentation
bin1000000101001000011000
310222121120200
420011020120
51020240133
6113222200
724001263
oct10051030
93877520
102118168
111217458
12861960
13592170
143d1cda
152bc913
hex205218

2118168 has 96 divisors (see below), whose sum is σ = 6464640. Its totient is φ = 622080.

The previous prime is 2118163. The next prime is 2118169. The reversal of 2118168 is 8618112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28980 + ... + 29052.

It is an arithmetic number, because the mean of its divisors is an integer number (67340).

22118168 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 2118168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232320).

2118168 is an abundant number, since it is smaller than the sum of its proper divisors (4346472).

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

2118168 is a wasteful number, since it uses less digits than its factorization.

2118168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 2118168 is about 1455.3927305027. The cubic root of 2118168 is about 128.4261512519.

The spelling of 2118168 in words is "two million, one hundred eighteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 73 78 93 104 117 124 146 156 186 219 234 248 279 292 312 372 403 438 468 558 584 657 744 806 876 936 949 1116 1209 1314 1612 1752 1898 2232 2263 2418 2628 2847 3224 3627 3796 4526 4836 5256 5694 6789 7254 7592 8541 9052 9672 11388 13578 14508 17082 18104 20367 22776 27156 29016 29419 34164 40734 54312 58838 68328 81468 88257 117676 162936 176514 235352 264771 353028 529542 706056 1059084 2118168