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2114168 = 237191987
BaseRepresentation
bin1000000100001001111000
310222102002112
420010021320
51020123133
6113151452
723653520
oct10041170
93872075
102114168
111214451
1285b588
135903b4
143d0680
152bb648
hex204278

2114168 has 32 divisors (see below), whose sum is σ = 4771200. Its totient is φ = 857952.

The previous prime is 2114159. The next prime is 2114191. The reversal of 2114168 is 8614112.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (149100).

22114168 is an apocalyptic number.

2114168 is a gapful number since it is divisible by the number (28) 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 2114168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385600).

2114168 is an abundant number, since it is smaller than the sum of its proper divisors (2657032).

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

2114168 is a wasteful number, since it uses less digits than its factorization.

2114168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2015 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 2114168 is about 1454.0178815957. The cubic root of 2114168 is about 128.3452592879.

The spelling of 2114168 in words is "two million, one hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1987 3974 7948 13909 15896 27818 37753 55636 75506 111272 151012 264271 302024 528542 1057084 2114168