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2168127 = 34132971
BaseRepresentation
bin1000010001010100111111
311002011010000
420101110333
51023340002
6114245343
724300033
oct10212477
94064100
102168127
111250a45
12886853
135abb20
144061c3
152cc61c
hex21153f

2168127 has 40 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 1270080.

The previous prime is 2168107. The next prime is 2168143. The reversal of 2168127 is 7218612.

2168127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2168127 - 27 = 2167999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 2168127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30502 + ... + 30572.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

22168127 is an apocalyptic number.

2168127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2168127 is a deficient number, since it is larger than the sum of its proper divisors (1490913).

2168127 is a wasteful number, since it uses less digits than its factorization.

2168127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2168127 is about 1472.4561114003. The cubic root of 2168127 is about 129.4279997093.

The spelling of 2168127 in words is "two million, one hundred sixty-eight thousand, one hundred twenty-seven".

Divisors: 1 3 9 13 27 29 39 71 81 87 117 213 261 351 377 639 783 923 1053 1131 1917 2059 2349 2769 3393 5751 6177 8307 10179 18531 24921 26767 30537 55593 74763 80301 166779 240903 722709 2168127