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53460000 = 25355411
BaseRepresentation
bin1100101111101…
…1110000100000
310201121001100000
43023323300200
5102141210000
65145500000
71216255026
oct313736040
9121531300
1053460000
11281a4320
1215aa1600
13b0ca249
147158716
154a60000
hex32fbc20

53460000 has 360 divisors, whose sum is σ = 214918704. Its totient is φ = 12960000.

The previous prime is 53459993. The next prime is 53460047. The reversal of 53460000 is 6435.

It is a happy number.

53460000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 4859995 + ... + 4860005.

Almost surely, 253460000 is an apocalyptic number.

53460000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107459352).

53460000 is an abundant number, since it is smaller than the sum of its proper divisors (161458704).

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

53460000 is an equidigital number, since it uses as much as digits as its factorization.

53460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53460000 is about 7311.6345641724. The cubic root of 53460000 is about 376.7121706932.

Adding to 53460000 its reverse (6435), we get a palindrome (53466435).

The spelling of 53460000 in words is "fifty-three million, four hundred sixty thousand".