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5365404 = 22321117797
BaseRepresentation
bin10100011101111010011100
3101002120221200
4110131322130
52333143104
6310555500
763414402
oct24357234
911076850
105365404
113035120
121968b90
13115b1c5
149d9472
1570eb39
hex51de9c

5365404 has 72 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1528320.

The previous prime is 5365403. The next prime is 5365433. The reversal of 5365404 is 4045635.

5365404 is a `hidden beast` number, since 5 + 3 + 654 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5365403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334 + ... + 7130.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 25365404 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 5365404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5365404 is an abundant number, since it is smaller than the sum of its proper divisors (10320084).

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

5365404 is a wasteful number, since it uses less digits than its factorization.

5365404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5365404 is about 2316.3341727825. The cubic root of 5365404 is about 175.0655971771.

The spelling of 5365404 in words is "five million, three hundred sixty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 797 1122 1594 1683 2244 2391 3188 3366 4782 6732 7173 8767 9564 13549 14346 17534 26301 27098 28692 35068 40647 52602 54196 78903 81294 105204 121941 149039 157806 162588 243882 298078 315612 447117 487764 596156 894234 1341351 1788468 2682702 5365404