Search a number
-
+
2748320 = 25589193
BaseRepresentation
bin1010011110111110100000
312011121222122
422132332200
51200421240
6134523412
732234411
oct12367640
95147878
102748320
111607943
12b06568
13752c33
14517808
153944b5
hex29efa0

2748320 has 48 divisors (see below), whose sum is σ = 6599880. Its totient is φ = 1081344.

The previous prime is 2748313. The next prime is 2748371. The reversal of 2748320 is 238472.

It can be written as a sum of positive squares in 4 ways, for example, as 1430416 + 1317904 = 1196^2 + 1148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2748320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14144 + ... + 14336.

22748320 is an apocalyptic number.

2748320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299940).

2748320 is an abundant number, since it is smaller than the sum of its proper divisors (3851560).

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

2748320 is a wasteful number, since it uses less digits than its factorization.

2748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2748320 is about 1657.8057787328. The cubic root of 2748320 is about 140.0734308661.

The spelling of 2748320 in words is "two million, seven hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 193 356 386 445 712 772 890 965 1424 1544 1780 1930 2848 3088 3560 3860 6176 7120 7720 14240 15440 17177 30880 34354 68708 85885 137416 171770 274832 343540 549664 687080 1374160 2748320