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5530880 = 28529149
BaseRepresentation
bin10101000110010100000000
3101101222221102
4111012110000
52403442010
6314313532
765004005
oct25062400
911358842
105530880
113138483
121a288a8
1311b8614
14a3d8ac
15743ba5
hex546500

5530880 has 72 divisors (see below), whose sum is σ = 13797000. Its totient is φ = 2121728.

The previous prime is 5530867. The next prime is 5530891. The reversal of 5530880 is 880355.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 5456896 = 272^2 + 2336^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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, 37046 + ... + 37194.

It is an arithmetic number, because the mean of its divisors is an integer number (191625).

Almost surely, 25530880 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 5530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898500).

5530880 is an abundant number, since it is smaller than the sum of its proper divisors (8266120).

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

5530880 is a wasteful number, since it uses less digits than its factorization.

5530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5530880 is about 2351.7823028503. The cubic root of 5530880 is about 176.8471554432.

The spelling of 5530880 in words is "five million, five hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 149 160 232 256 290 298 320 464 580 596 640 745 928 1160 1192 1280 1490 1856 2320 2384 2980 3712 4321 4640 4768 5960 7424 8642 9280 9536 11920 17284 18560 19072 21605 23840 34568 37120 38144 43210 47680 69136 86420 95360 138272 172840 190720 276544 345680 553088 691360 1106176 1382720 2765440 5530880