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5395104 = 25321113131
BaseRepresentation
bin10100100101001010100000
3101011002200200
4110211022200
52340120404
6311345200
763600111
oct24451240
911132620
105395104
113055470
121982200
13116b890
14a06208
15718839
hex5252a0

5395104 has 144 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1497600.

The previous prime is 5395099. The next prime is 5395121. The reversal of 5395104 is 4015935.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (27) 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 23 ways as a sum of consecutive naturals, for example, 41119 + ... + 41249.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 25395104 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 5395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

5395104 is an abundant number, since it is smaller than the sum of its proper divisors (12767040).

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

5395104 is a wasteful number, since it uses less digits than its factorization.

5395104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5395104 is about 2322.7363173636. The cubic root of 5395104 is about 175.3880260719.

The spelling of 5395104 in words is "five million, three hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 131 132 143 144 156 176 198 208 234 262 264 286 288 312 352 393 396 416 429 468 524 528 572 624 786 792 858 936 1048 1056 1144 1179 1248 1287 1441 1572 1584 1703 1716 1872 2096 2288 2358 2574 2882 3144 3168 3406 3432 3744 4192 4323 4576 4716 5109 5148 5764 6288 6812 6864 8646 9432 10218 10296 11528 12576 12969 13624 13728 15327 17292 18733 18864 20436 20592 23056 25938 27248 30654 34584 37466 37728 40872 41184 46112 51876 54496 56199 61308 69168 74932 81744 103752 112398 122616 138336 149864 163488 168597 207504 224796 245232 299728 337194 415008 449592 490464 599456 674388 899184 1348776 1798368 2697552 5395104