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5580540 = 22325743103
BaseRepresentation
bin10101010010011011111100
3101111112001200
4111102123330
52412034130
6315335500
765301540
oct25223374
911445050
105580540
113171819
121a51590
1312050c4
14a53a20
15753760
hex5526fc

5580540 has 144 divisors (see below), whose sum is σ = 19987968. Its totient is φ = 1233792.

The previous prime is 5580521. The next prime is 5580541. The reversal of 5580540 is 450855.

5580540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55805402 = 62284853383200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54129 + ... + 54231.

Almost surely, 25580540 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 5580540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993984).

5580540 is an abundant number, since it is smaller than the sum of its proper divisors (14407428).

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

5580540 is a wasteful number, since it uses less digits than its factorization.

5580540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5580540 is about 2362.3166595527. The cubic root of 5580540 is about 177.3748638605.

The spelling of 5580540 in words is "five million, five hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 103 105 126 129 140 172 180 206 210 215 252 258 301 309 315 387 412 420 430 515 516 602 618 630 645 721 774 860 903 927 1030 1204 1236 1260 1290 1442 1505 1545 1548 1806 1854 1935 2060 2163 2580 2709 2884 3010 3090 3605 3612 3708 3870 4326 4429 4515 4635 5418 6020 6180 6489 7210 7740 8652 8858 9030 9270 10815 10836 12978 13287 13545 14420 17716 18060 18540 21630 22145 25956 26574 27090 31003 32445 39861 43260 44290 53148 54180 62006 64890 66435 79722 88580 93009 124012 129780 132870 155015 159444 186018 199305 265740 279027 310030 372036 398610 465045 558054 620060 797220 930090 1116108 1395135 1860180 2790270 5580540