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5340453120 = 28345192711
BaseRepresentation
bin1001111100101000…
…01101100100000000
3111210012000010110000
410332110031210000
541414123444440
62241532240000
7246225050112
oct47624154400
914705003400
105340453120
1122a0601522
121050610000
13671551542
143893a53b2
15213ca6730
hex13e50d900

5340453120 has 360 divisors, whose sum is σ = 20122280640. Its totient is φ = 1348669440.

The previous prime is 5340453113. The next prime is 5340453121. The reversal of 5340453120 is 213540435.

5340453120 is a `hidden beast` number, since 5 + 340 + 4 + 5 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5340453121) 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 39 ways as a sum of consecutive naturals, for example, 1968565 + ... + 1971275.

It is an arithmetic number, because the mean of its divisors is an integer number (55895224).

Almost surely, 25340453120 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 5340453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061140320).

5340453120 is an abundant number, since it is smaller than the sum of its proper divisors (14781827520).

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

5340453120 is a wasteful number, since it uses less digits than its factorization.

5340453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2740 counting only the distinct ones).

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

The square root of 5340453120 is about 73078.4039234574. The cubic root of 5340453120 is about 1747.9380470863.

Adding to 5340453120 its reverse (213540435), we get a palindrome (5553993555).

The spelling of 5340453120 in words is "five billion, three hundred forty million, four hundred fifty-three thousand, one hundred twenty".