Search a number
-
+
3066720 = 25356389
BaseRepresentation
bin1011101100101101100000
312202210202020
423230231200
51241113340
6145421440
735031606
oct13545540
95683666
103066720
111805088
12103a880
13834b37
1459b876
154089d0
hex2ecb60

3066720 has 48 divisors (see below), whose sum is σ = 9661680. Its totient is φ = 817664.

The previous prime is 3066709. The next prime is 3066731. The reversal of 3066720 is 276603.

3066720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3066709) and next prime (3066731).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2715 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (201285).

Almost surely, 23066720 is an apocalyptic number.

3066720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3066720 is an abundant number, since it is smaller than the sum of its proper divisors (6594960).

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

3066720 is a wasteful number, since it uses less digits than its factorization.

3066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3066720 is about 1751.2052992154. The cubic root of 3066720 is about 145.2863149719.

The spelling of 3066720 in words is "three million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6389 12778 19167 25556 31945 38334 51112 63890 76668 95835 102224 127780 153336 191670 204448 255560 306672 383340 511120 613344 766680 1022240 1533360 3066720