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5400375460 = 2253119345131
BaseRepresentation
bin1010000011110001…
…10011000010100100
3111221100202111102221
411001320303002210
542024444003320
62251512442124
7250553301604
oct50170630244
914840674387
105400375460
11232140a017
1210686a9344
13680aa204c
14393322c04
152191913aa
hex141e330a4

5400375460 has 48 divisors (see below), whose sum is σ = 11767537152. Its totient is φ = 2079590400.

The previous prime is 5400375437. The next prime is 5400375469. The reversal of 5400375460 is 645730045.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5400375469) 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 15 ways as a sum of consecutive naturals, for example, 97095 + ... + 142225.

It is an arithmetic number, because the mean of its divisors is an integer number (245157024).

Almost surely, 25400375460 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 5400375460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883768576).

5400375460 is an abundant number, since it is smaller than the sum of its proper divisors (6367161692).

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

5400375460 is a wasteful number, since it uses less digits than its factorization.

5400375460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45364 (or 45362 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 5400375460 is about 73487.2469208093. The cubic root of 5400375460 is about 1754.4513031594.

The spelling of 5400375460 in words is "five billion, four hundred million, three hundred seventy-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1930 3860 5983 11966 23932 29915 45131 59830 90262 119660 180524 225655 451310 902620 1399061 2798122 5596244 6995305 8710283 13990610 17420566 27981220 34841132 43551415 87102830 174205660 270018773 540037546 1080075092 1350093865 2700187730 5400375460