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2142462 = 237291759
BaseRepresentation
bin1000001011000011111110
311000211220110
420023003332
51022024322
6113530450
724132150
oct10130376
94024813
102142462
111233733
12873a26
135a023a
143daad0
152c4c0c
hex20b0fe

2142462 has 32 divisors (see below), whose sum is σ = 5068800. Its totient is φ = 590688.

The previous prime is 2142457. The next prime is 2142463. The reversal of 2142462 is 2642412.

2142462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142463) 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 15 ways as a sum of consecutive naturals, for example, 339 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (158400).

22142462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534400).

2142462 is an abundant number, since it is smaller than the sum of its proper divisors (2926338).

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

2142462 is a wasteful number, since it uses less digits than its factorization.

2142462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800.

The product of its digits is 768, while the sum is 21.

The square root of 2142462 is about 1463.7151362202. The cubic root of 2142462 is about 128.9152739725.

Adding to 2142462 its reverse (2642412), we get a palindrome (4784874).

The spelling of 2142462 in words is "two million, one hundred forty-two thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 1759 3518 5277 10554 12313 24626 36939 51011 73878 102022 153033 306066 357077 714154 1071231 2142462