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5560416 = 253243449
BaseRepresentation
bin10101001101100001100000
3101110111110100
4111031201200
52410413131
6315102400
765156061
oct25154140
911414410
105560416
113158694
121a41a00
1311c8bb4
14a4a568
1574c7e6
hex54d860

5560416 has 72 divisors (see below), whose sum is σ = 16216200. Its totient is φ = 1806336.

The previous prime is 5560409. The next prime is 5560421. The reversal of 5560416 is 6140655.

It is a happy number.

5560416 is a `hidden beast` number, since 55 + 604 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5560416.

It is a congruent number.

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, 12160 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 25560416 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 5560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108100).

5560416 is an abundant number, since it is smaller than the sum of its proper divisors (10655784).

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

5560416 is a wasteful number, since it uses less digits than its factorization.

5560416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5560416 is about 2358.0534345091. The cubic root of 5560416 is about 177.1613964046.

The spelling of 5560416 in words is "five million, five hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 449 516 688 774 898 1032 1347 1376 1548 1796 2064 2694 3096 3592 4041 4128 5388 6192 7184 8082 10776 12384 14368 16164 19307 21552 32328 38614 43104 57921 64656 77228 115842 129312 154456 173763 231684 308912 347526 463368 617824 695052 926736 1390104 1853472 2780208 5560416