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5528960 = 27553163
BaseRepresentation
bin10101000101110110000000
3101101220022022
4111011312000
52403411320
6314301012
764665263
oct25056600
911356268
105528960
113136a98
121a27768
1311b7798
14a3ccda
15743325
hex545d80

5528960 has 64 divisors (see below), whose sum is σ = 13549680. Its totient is φ = 2156544.

The previous prime is 5528933. The next prime is 5528969. The reversal of 5528960 is 698255.

5528960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5528960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5528969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33839 + ... + 34001.

Almost surely, 25528960 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 5528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774840).

5528960 is an abundant number, since it is smaller than the sum of its proper divisors (8020720).

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

5528960 is a wasteful number, since it uses less digits than its factorization.

5528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 5528960 is about 2351.3740663706. The cubic root of 5528960 is about 176.8266893910.

The spelling of 5528960 in words is "five million, five hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 163 212 265 320 326 424 530 640 652 815 848 1060 1304 1630 1696 2120 2608 3260 3392 4240 5216 6520 6784 8480 8639 10432 13040 16960 17278 20864 26080 33920 34556 43195 52160 69112 86390 104320 138224 172780 276448 345560 552896 691120 1105792 1382240 2764480 5528960