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2139966 = 233231723
BaseRepresentation
bin1000001010011100111110
311000201111000
420022130332
51021434331
6113511130
724121653
oct10123476
94021430
102139966
111231874
128724a6
1359c06a
143d9c2a
152c40e6
hex20a73e

2139966 has 32 divisors (see below), whose sum is σ = 4965120. Its totient is φ = 681912.

The previous prime is 2139959. The next prime is 2139967. The reversal of 2139966 is 6699312.

2139966 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 self number, because there is not a number n which added to its sum of digits gives 2139966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139967) 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, 381 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (155160).

22139966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482560).

2139966 is an abundant number, since it is smaller than the sum of its proper divisors (2825154).

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

2139966 is a wasteful number, since it uses less digits than its factorization.

2139966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2139966 is about 1462.8622628259. The cubic root of 2139966 is about 128.8651917833.

The spelling of 2139966 in words is "two million, one hundred thirty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1723 3446 5169 10338 15507 31014 39629 46521 79258 93042 118887 237774 356661 713322 1069983 2139966