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53116560 = 2434571171
BaseRepresentation
bin1100101010011…
…1111010010000
310200221121020000
43022213322100
5102044212220
65134250000
71213324530
oct312477220
9120847200
1053116560
1127a8a292
1215956900
13b009b23
1470a94c0
1549e3390
hex32a7e90

53116560 has 200 divisors, whose sum is σ = 211016256. Its totient is φ = 12130560.

The previous prime is 53116549. The next prime is 53116573. The reversal of 53116560 is 6561135.

It is a happy number.

53116560 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 656 + 0 = 666.

53116560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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 39 ways as a sum of consecutive naturals, for example, 44775 + ... + 45945.

Almost surely, 253116560 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 53116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105508128).

53116560 is an abundant number, since it is smaller than the sum of its proper divisors (157899696).

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

53116560 is a wasteful number, since it uses less digits than its factorization.

53116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 53116560 is about 7288.1108663357. The cubic root of 53116560 is about 375.9037402598.

Adding to 53116560 its reverse (6561135), we get a palindrome (59677695).

The spelling of 53116560 in words is "fifty-three million, one hundred sixteen thousand, five hundred sixty".