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53138660 = 2253771809
BaseRepresentation
bin1100101010110…
…1010011100100
310200222201112112
43022231103210
5102100414120
65134540152
71213446131
oct312552344
9120881475
1053138660
1127aa4953
1215967658
13b016bc3
1470b3588
1549e9bc5
hex32ad4e4

53138660 has 24 divisors (see below), whose sum is σ = 114608760. Its totient is φ = 20680704.

The previous prime is 53138629. The next prime is 53138663. The reversal of 53138660 is 6683135.

53138660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 47416996 = 2392^2 + 6886^2 .

It is not an unprimeable number, because it can be changed into a prime (53138663) 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 7 ways as a sum of consecutive naturals, for example, 35165 + ... + 36644.

It is an arithmetic number, because the mean of its divisors is an integer number (4775365).

Almost surely, 253138660 is an apocalyptic number.

It is an amenable number.

53138660 is an abundant number, since it is smaller than the sum of its proper divisors (61470100).

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

53138660 is a wasteful number, since it uses less digits than its factorization.

53138660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71855 (or 71853 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 53138660 is about 7289.6268765966. The cubic root of 53138660 is about 375.9558666323.

The spelling of 53138660 in words is "fifty-three million, one hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 71809 143618 287236 359045 718090 1436180 2656933 5313866 10627732 13284665 26569330 53138660