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3105680 = 24538821
BaseRepresentation
bin1011110110001110010000
312211210012012
423312032100
51243340210
6150322052
735253314
oct13661620
95753165
103105680
111831386
121059328
138497a6
145abb44
15415305
hex2f6390

3105680 has 20 divisors (see below), whose sum is σ = 7220892. Its totient is φ = 1242240.

The previous prime is 3105659. The next prime is 3105689. The reversal of 3105680 is 865013.

3105680 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1507984 + 1597696 = 1228^2 + 1264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (3105689) 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 3 ways as a sum of consecutive naturals, for example, 19331 + ... + 19490.

Almost surely, 23105680 is an apocalyptic number.

It is an amenable number.

3105680 is an abundant number, since it is smaller than the sum of its proper divisors (4115212).

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

3105680 is a wasteful number, since it uses less digits than its factorization.

3105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38834 (or 38828 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 3105680 is about 1762.2939595879. The cubic root of 3105680 is about 145.8989730814.

The spelling of 3105680 in words is "three million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 38821 77642 155284 194105 310568 388210 621136 776420 1552840 3105680