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2142124 = 22677993
BaseRepresentation
bin1000001010111110101100
311000211102221
420022332230
51022021444
6113525124
724131155
oct10127654
94024387
102142124
111233456
128737a4
135a003a
143da92c
152c4a84
hex20afac

2142124 has 12 divisors (see below), whose sum is σ = 3805144. Its totient is φ = 1054944.

The previous prime is 2142121. The next prime is 2142149. The reversal of 2142124 is 4212412.

2142124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2142098 and 2142107.

It is not an unprimeable number, because it can be changed into a prime (2142121) 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 3 ways as a sum of consecutive naturals, for example, 3729 + ... + 4264.

22142124 is an apocalyptic number.

It is an amenable number.

2142124 is a deficient number, since it is larger than the sum of its proper divisors (1663020).

2142124 is a wasteful number, since it uses less digits than its factorization.

2142124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8062 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 2142124 is about 1463.5996720415. The cubic root of 2142124 is about 128.9084942872.

Adding to 2142124 its reverse (4212412), we get a palindrome (6354536).

The spelling of 2142124 in words is "two million, one hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 67 134 268 7993 15986 31972 535531 1071062 2142124