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53160107 = 71113232309
BaseRepresentation
bin1100101011001…
…0100010101011
310201000210221212
43022302202223
5102102110412
65135223335
71213565510
oct312624253
9121023855
1053160107
1128009a80
1215977b4b
13b0238b0
1470bb307
154a01222
hex32b28ab

53160107 has 32 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 36558720.

The previous prime is 53160101. The next prime is 53160109. The reversal of 53160107 is 70106135.

53160107 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 53160107 - 28 = 53159851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (53160101) 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, 21869 + ... + 24177.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 253160107 is an apocalyptic number.

53160107 is a deficient number, since it is larger than the sum of its proper divisors (21351253).

53160107 is a wasteful number, since it uses less digits than its factorization.

53160107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 53160107 is about 7291.0977911423. The cubic root of 53160107 is about 376.0064389836.

The spelling of 53160107 in words is "fifty-three million, one hundred sixty thousand, one hundred seven".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 2309 3289 16163 23023 25399 30017 53107 177793 210119 330187 371749 584177 690391 2311309 4089239 4832737 7594301 53160107