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53130441 = 37131910243
BaseRepresentation
bin1100101010101…
…1010011001001
310200222022021010
43022223103021
5102100133231
65134434133
71213413150
oct312532311
9120868233
1053130441
1127a99761
1215962949
13b013240
1470b0597
1549e7546
hex32ab4c9

53130441 has 32 divisors (see below), whose sum is σ = 91786240. Its totient is φ = 26547264.

The previous prime is 53130421. The next prime is 53130443. The reversal of 53130441 is 14403135.

53130441 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 53130441 - 26 = 53130377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53130443) 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 31 ways as a sum of consecutive naturals, for example, 66 + ... + 10308.

It is an arithmetic number, because the mean of its divisors is an integer number (2868320).

Almost surely, 253130441 is an apocalyptic number.

It is an amenable number.

53130441 is a deficient number, since it is larger than the sum of its proper divisors (38655799).

53130441 is a wasteful number, since it uses less digits than its factorization.

53130441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 53130441 is about 7289.0631085209. The cubic root of 53130441 is about 375.9364824991.

Adding to 53130441 its reverse (14403135), we get a palindrome (67533576).

The spelling of 53130441 in words is "fifty-three million, one hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 10243 30729 71701 133159 194617 215103 399477 583851 932113 1362319 2530021 2796339 4086957 7590063 17710147 53130441