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5589520 = 245109641
BaseRepresentation
bin10101010100101000010000
3101111222101021
4111110220100
52412331040
6315445224
765336656
oct25245020
911458337
105589520
113178542
121a56814
131209211
14a56dd6
1575624a
hex554a10

5589520 has 40 divisors (see below), whose sum is σ = 13135320. Its totient is φ = 2211840.

The previous prime is 5589511. The next prime is 5589557. The reversal of 5589520 is 259855.

5589520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2085136 + 3504384 = 1444^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8400 + ... + 9040.

It is an arithmetic number, because the mean of its divisors is an integer number (328383).

Almost surely, 25589520 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 5589520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567660).

5589520 is an abundant number, since it is smaller than the sum of its proper divisors (7545800).

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

5589520 is a wasteful number, since it uses less digits than its factorization.

5589520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 5589520 is about 2364.2165721439. The cubic root of 5589520 is about 177.4699545786.

The spelling of 5589520 in words is "five million, five hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 641 872 1090 1282 1744 2180 2564 3205 4360 5128 6410 8720 10256 12820 25640 51280 69869 139738 279476 349345 558952 698690 1117904 1397380 2794760 5589520