Search a number
-
+
5505760 = 255132647
BaseRepresentation
bin10101000000001011100000
3101100201111001
4111000023200
52402141020
6314001344
764540531
oct25001340
911321431
105505760
113120617
121a16254
1311aa060
14a34688
1573b50a
hex5402e0

5505760 has 48 divisors (see below), whose sum is σ = 14013216. Its totient is φ = 2032128.

The previous prime is 5505751. The next prime is 5505769. The reversal of 5505760 is 675055.

It is an interprime number because it is at equal distance from previous prime (5505751) and next prime (5505769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505769) 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, 757 + ... + 3403.

It is an arithmetic number, because the mean of its divisors is an integer number (291942).

Almost surely, 25505760 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 5505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006608).

5505760 is an abundant number, since it is smaller than the sum of its proper divisors (8507456).

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

5505760 is a wasteful number, since it uses less digits than its factorization.

5505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 5505760 is about 2346.4355946840. The cubic root of 5505760 is about 176.5790158931.

The spelling of 5505760 in words is "five million, five hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2647 5294 10588 13235 21176 26470 34411 42352 52940 68822 84704 105880 137644 172055 211760 275288 344110 423520 550576 688220 1101152 1376440 2752880 5505760