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2707029 = 3213171361
BaseRepresentation
bin1010010100111001010101
312002112100100
422110321111
51143111104
6134004313
732003133
oct12247125
95075310
102707029
111589916
12aa6699
1373a1c0
14506753
15387139
hex294e55

2707029 has 24 divisors (see below), whose sum is σ = 4461912. Its totient is φ = 1566720.

The previous prime is 2707007. The next prime is 2707037. The reversal of 2707029 is 9207072.

2707029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72900 + 2634129 = 270^2 + 1623^2 .

It is not a de Polignac number, because 2707029 - 211 = 2704981 is a prime.

2707029 is a lucky number.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2706993 and 2707011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2707039) 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, 1309 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (185913).

22707029 is an apocalyptic number.

It is an amenable number.

2707029 is a deficient number, since it is larger than the sum of its proper divisors (1754883).

2707029 is a wasteful number, since it uses less digits than its factorization.

2707029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2707029 is about 1645.3051388724. The cubic root of 2707029 is about 139.3683963303.

The spelling of 2707029 in words is "two million, seven hundred seven thousand, twenty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1361 1989 4083 12249 17693 23137 53079 69411 159237 208233 300781 902343 2707029