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53130759 = 3112370001
BaseRepresentation
bin1100101010101…
…1011000000111
310200222022200220
43022223120013
5102100141014
65134435423
71213414113
oct312533007
9120868626
1053130759
1127a99a20
1215962b73
13b013426
1470b0743
1549e76a9
hex32ab607

53130759 has 16 divisors (see below), whose sum is σ = 80642304. Its totient is φ = 30800000.

The previous prime is 53130733. The next prime is 53130761. The reversal of 53130759 is 95703135.

53130759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53130759 - 29 = 53130247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53130769) 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 15 ways as a sum of consecutive naturals, for example, 34242 + ... + 35759.

It is an arithmetic number, because the mean of its divisors is an integer number (5040144).

Almost surely, 253130759 is an apocalyptic number.

53130759 is a deficient number, since it is larger than the sum of its proper divisors (27511545).

53130759 is a wasteful number, since it uses less digits than its factorization.

53130759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70038.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 53130759 is about 7289.0849219912. The cubic root of 53130759 is about 375.9372325246.

The spelling of 53130759 in words is "fifty-three million, one hundred thirty thousand, seven hundred fifty-nine".

Divisors: 1 3 11 23 33 69 253 759 70001 210003 770011 1610023 2310033 4830069 17710253 53130759