Search a number
-
+
2748668520 = 2335133674801
BaseRepresentation
bin1010001111010101…
…0101101001101000
321002120002211100210
42203311111221220
521112124343040
61132425301120
7125054203563
oct24365255150
97076084323
102748668520
111190608384
126486347a0
1334a5c6aa0
141c10a14da
1511149a480
hexa3d55a68

2748668520 has 128 divisors (see below), whose sum is σ = 8906365440. Its totient is φ = 674611200.

The previous prime is 2748668513. The next prime is 2748668539. The reversal of 2748668520 is 258668472.

2748668520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2748668520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570120 + ... + 574920.

It is an arithmetic number, because the mean of its divisors is an integer number (69580980).

Almost surely, 22748668520 is an apocalyptic number.

2748668520 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 2748668520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453182720).

2748668520 is an abundant number, since it is smaller than the sum of its proper divisors (6157696920).

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

2748668520 is a wasteful number, since it uses less digits than its factorization.

2748668520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 2748668520 is about 52427.7457077834. The cubic root of 2748668520 is about 1400.7935161387.

Subtracting from 2748668520 its sum of digits (48), we obtain a palindrome (2748668472).

The spelling of 2748668520 in words is "two billion, seven hundred forty-eight million, six hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 367 390 520 734 780 1101 1468 1560 1835 2202 2936 3670 4404 4771 4801 5505 7340 8808 9542 9602 11010 14313 14403 14680 19084 19204 22020 23855 24005 28626 28806 38168 38408 44040 47710 48010 57252 57612 62413 71565 72015 95420 96020 114504 115224 124826 143130 144030 187239 190840 192040 249652 286260 288060 312065 374478 499304 572520 576120 624130 748956 936195 1248260 1497912 1761967 1872390 2496520 3523934 3744780 5285901 7047868 7489560 8809835 10571802 14095736 17619670 21143604 22905571 26429505 35239340 42287208 45811142 52859010 68716713 70478680 91622284 105718020 114527855 137433426 183244568 211436040 229055710 274866852 343583565 458111420 549733704 687167130 916222840 1374334260 2748668520