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52135120 = 245651689
BaseRepresentation
bin1100011011100…
…0010011010000
310122002201221101
43012320103100
5101321310440
65101234144
71202066302
oct306702320
9118081841
1052135120
1127479984
1215562954
13aa551ab
146cd1972
15489c69a
hex31b84d0

52135120 has 20 divisors (see below), whose sum is σ = 121214340. Its totient is φ = 20854016.

The previous prime is 52135103. The next prime is 52135121. The reversal of 52135120 is 2153125.

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 43771456 = 2892^2 + 6616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52135121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325765 + ... + 325924.

It is an arithmetic number, because the mean of its divisors is an integer number (6060717).

Almost surely, 252135120 is an apocalyptic number.

It is an amenable number.

52135120 is an abundant number, since it is smaller than the sum of its proper divisors (69079220).

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

52135120 is a wasteful number, since it uses less digits than its factorization.

52135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651702 (or 651696 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 52135120 is about 7220.4653589641. The cubic root of 52135120 is about 373.5741289533.

Adding to 52135120 its reverse (2153125), we get a palindrome (54288245).

The spelling of 52135120 in words is "fifty-two million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 651689 1303378 2606756 3258445 5213512 6516890 10427024 13033780 26067560 52135120