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5605280 = 25553661
BaseRepresentation
bin10101011000011110100000
3101112202222222
4111120132200
52413332110
6320050212
765433632
oct25303640
911482888
105605280
11318936a
121a63968
131213445
14a5ca52
1575ac55
hex5587a0

5605280 has 48 divisors (see below), whose sum is σ = 13512744. Its totient is φ = 2196480.

The previous prime is 5605253. The next prime is 5605283. The reversal of 5605280 is 825065.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 204304 = 2324^2 + 452^2 .

It is not an unprimeable number, because it can be changed into a prime (5605283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8150 + ... + 8810.

Almost surely, 25605280 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 5605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756372).

5605280 is an abundant number, since it is smaller than the sum of its proper divisors (7907464).

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

5605280 is a wasteful number, since it uses less digits than its factorization.

5605280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5605280 is about 2367.5472540163. The cubic root of 5605280 is about 177.6365939257.

It can be divided in two parts, 5605 and 280, that added together give a palindrome (5885).

The spelling of 5605280 in words is "five million, six hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 661 848 1060 1322 1696 2120 2644 3305 4240 5288 6610 8480 10576 13220 21152 26440 35033 52880 70066 105760 140132 175165 280264 350330 560528 700660 1121056 1401320 2802640 5605280