Search a number
-
+
3080720 = 24597397
BaseRepresentation
bin1011110000001000010000
312210111221202
423300020100
51242040340
6150010332
735120456
oct13601020
95714852
103080720
111814655
1210469a8
1383b316
145a29d6
1540cc15
hex2f0210

3080720 has 40 divisors (see below), whose sum is σ = 7254744. Its totient is φ = 1216512.

The previous prime is 3080713. The next prime is 3080729. The reversal of 3080720 is 270803.

3080720 = 1282 + 1292 + ... + 2242.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 2650384 = 656^2 + 1628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3080692 and 3080701.

It is not an unprimeable number, because it can be changed into a prime (3080729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7562 + ... + 7958.

Almost surely, 23080720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627372).

3080720 is an abundant number, since it is smaller than the sum of its proper divisors (4174024).

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

3080720 is a wasteful number, since it uses less digits than its factorization.

3080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 3080720 is about 1755.1979945294. The cubic root of 3080720 is about 145.5070634219.

The spelling of 3080720 in words is "three million, eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 397 485 776 794 970 1552 1588 1940 1985 3176 3880 3970 6352 7760 7940 15880 31760 38509 77018 154036 192545 308072 385090 616144 770180 1540360 3080720