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5530760 = 235372101
BaseRepresentation
bin10101000110010010001000
3101101222202222
4111012102020
52403441020
6314313212
765003444
oct25062210
911358688
105530760
113138384
121a28808
1311b8551
14a3d824
15743b25
hex546488

5530760 has 48 divisors (see below), whose sum is σ = 12916260. Its totient is φ = 2131200.

The previous prime is 5530751. The next prime is 5530781. The reversal of 5530760 is 670355.

It can be written as a sum of positive squares in 6 ways, for example, as 5466244 + 64516 = 2338^2 + 254^2 .

It is a super-3 number, since 3×55307603 (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54710 + ... + 54810.

Almost surely, 25530760 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 5530760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458130).

5530760 is an abundant number, since it is smaller than the sum of its proper divisors (7385500).

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

5530760 is a wasteful number, since it uses less digits than its factorization.

5530760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 5530760 is about 2351.7567901465. The cubic root of 5530760 is about 176.8458764537.

The spelling of 5530760 in words is "five million, five hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 101 148 185 202 296 370 404 505 740 808 1010 1369 1480 2020 2738 3737 4040 5476 6845 7474 10952 13690 14948 18685 27380 29896 37370 54760 74740 138269 149480 276538 553076 691345 1106152 1382690 2765380 5530760