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5340096 = 263273127
BaseRepresentation
bin10100010111101111000000
3101001022020100
4110113233000
52331340341
6310242400
763250536
oct24275700
911038210
105340096
113018103
121956400
13114c828
149d0156
157073b6
hex517bc0

5340096 has 84 divisors (see below), whose sum is σ = 15638272. Its totient is φ = 1741824.

The previous prime is 5340077. The next prime is 5340103. The reversal of 5340096 is 6900435.

It is a happy number.

5340096 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41985 + ... + 42111.

Almost surely, 25340096 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 5340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819136).

5340096 is an abundant number, since it is smaller than the sum of its proper divisors (10298176).

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

5340096 is a wasteful number, since it uses less digits than its factorization.

5340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5340096 is about 2310.8647731964. The cubic root of 5340096 is about 174.7899084253.

The spelling of 5340096 in words is "five million, three hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 127 144 146 192 219 254 288 292 381 438 508 576 584 657 762 876 1016 1143 1168 1314 1524 1752 2032 2286 2336 2628 3048 3504 4064 4572 4672 5256 6096 7008 8128 9144 9271 10512 12192 14016 18288 18542 21024 24384 27813 36576 37084 42048 55626 73152 74168 83439 111252 148336 166878 222504 296672 333756 445008 593344 667512 890016 1335024 1780032 2670048 5340096