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2142966 = 237237197
BaseRepresentation
bin1000001011001011110110
311000212121010
420023023312
51022033331
6113533050
724133500
oct10131366
94025533
102142966
111234051
12874186
135a0537
143dad70
152c4e46
hex20b2f6

2142966 has 48 divisors (see below), whose sum is σ = 5146416. Its totient is φ = 592704.

The previous prime is 2142941. The next prime is 2142967. The reversal of 2142966 is 6692412.

2142966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142967) 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 23 ways as a sum of consecutive naturals, for example, 10780 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (107217).

22142966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573208).

2142966 is an abundant number, since it is smaller than the sum of its proper divisors (3003450).

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

2142966 is a wasteful number, since it uses less digits than its factorization.

2142966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2142966 is about 1463.8872907434. The cubic root of 2142966 is about 128.9253820015.

The spelling of 2142966 in words is "two million, one hundred forty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 197 222 259 294 394 518 591 777 1182 1379 1554 1813 2758 3626 4137 5439 7289 8274 9653 10878 14578 19306 21867 28959 43734 51023 57918 102046 153069 306138 357161 714322 1071483 2142966