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2705711940 = 2232515031733
BaseRepresentation
bin1010000101000101…
…1110001101000100
320222120021102000100
42201101132031010
521020130240230
61124252444100
7124023113001
oct24121361504
96876242010
102705711940
111169338478
12636179630
133417365a9
141b94bc8a8
1510c812660
hexa145e344

2705711940 has 36 divisors (see below), whose sum is σ = 8207326764. Its totient is φ = 721523136.

The previous prime is 2705711903. The next prime is 2705711941. The reversal of 2705711940 is 491175072.

It is a happy number.

2705711940 is a `hidden beast` number, since 2 + 70 + 571 + 19 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1872465984 + 833245956 = 43272^2 + 28866^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2705711895 and 2705711904.

It is not an unprimeable number, because it can be changed into a prime (2705711941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7515687 + ... + 7516046.

It is an arithmetic number, because the mean of its divisors is an integer number (227981299).

Almost surely, 22705711940 is an apocalyptic number.

2705711940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2705711940 is an abundant number, since it is smaller than the sum of its proper divisors (5501614824).

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

2705711940 is a wasteful number, since it uses less digits than its factorization.

2705711940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031748 (or 15031743 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2705711940 is about 52016.4583569470. The cubic root of 2705711940 is about 1393.4579020414.

The spelling of 2705711940 in words is "two billion, seven hundred five million, seven hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15031733 30063466 45095199 60126932 75158665 90190398 135285597 150317330 180380796 225475995 270571194 300634660 450951990 541142388 676427985 901903980 1352855970 2705711940