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5405616 = 24344397
BaseRepresentation
bin10100100111101110110000
3101011122010000
4110213232300
52340434431
6311510000
763642546
oct24475660
911148100
105405616
113062357
121988300
1311735b8
14a09d96
1571b9e6
hex527bb0

5405616 has 100 divisors (see below), whose sum is σ = 16174312. Its totient is φ = 1741824.

The previous prime is 5405599. The next prime is 5405641. The reversal of 5405616 is 6165045.

It is a happy number.

5405616 is a `hidden beast` number, since 5 + 40 + 5 + 616 = 666.

5405616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5405616.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55680 + ... + 55776.

Almost surely, 25405616 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 5405616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087156).

5405616 is an abundant number, since it is smaller than the sum of its proper divisors (10768696).

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

5405616 is a wasteful number, since it uses less digits than its factorization.

5405616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

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

The square root of 5405616 is about 2324.9980645153. The cubic root of 5405616 is about 175.5018627898.

The spelling of 5405616 in words is "five million, four hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 97 108 129 144 162 172 194 216 258 291 324 344 387 388 432 516 582 648 688 774 776 873 1032 1161 1164 1296 1548 1552 1746 2064 2322 2328 2619 3096 3483 3492 4171 4644 4656 5238 6192 6966 6984 7857 8342 9288 10476 12513 13932 13968 15714 16684 18576 20952 25026 27864 31428 33368 37539 41904 50052 55728 62856 66736 75078 100104 112617 125712 150156 200208 225234 300312 337851 450468 600624 675702 900936 1351404 1801872 2702808 5405616