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5580090 = 2345832
BaseRepresentation
bin10101010010010100111010
3101111111110000
4111102110322
52412030330
6315333430
765300325
oct25222472
911444400
105580090
11317144a
121a51276
131204b39
14a537bc
15753560
hex55253a

5580090 has 60 divisors (see below), whose sum is σ = 15187194. Its totient is φ = 1470096.

The previous prime is 5580089. The next prime is 5580101. The reversal of 5580090 is 900855.

5580090 = T81 + T82 + ... + T323.

It can be written as a sum of positive squares in only one way, i.e., 5022081 + 558009 = 2241^2 + 747^2 .

It is a super-2 number, since 2×55800902 = 62274808816200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 67189 + ... + 67271.

Almost surely, 25580090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5580090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593597).

5580090 is an abundant number, since it is smaller than the sum of its proper divisors (9607104).

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

5580090 is an equidigital number, since it uses as much as digits as its factorization.

5580090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5580090 is about 2362.2214121458. The cubic root of 5580090 is about 177.3700960522.

The spelling of 5580090 in words is "five million, five hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 830 1245 1494 2241 2490 3735 4482 6723 6889 7470 11205 13446 13778 20667 22410 33615 34445 41334 62001 67230 68890 103335 124002 186003 206670 310005 372006 558009 620010 930015 1116018 1860030 2790045 5580090