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58072105 = 5721318233
BaseRepresentation
bin1101110110000…
…1110000101001
311001021100221201
43131201300221
5104331301410
65432404201
71303414300
oct335416051
9131240851
1058072105
112a864483
1217546661
13c0535c0
1479d9437
15517183a
hex3761c29

58072105 has 24 divisors (see below), whose sum is σ = 87304392. Its totient is φ = 36755712.

The previous prime is 58072093. The next prime is 58072109. The reversal of 58072105 is 50127085.

58072105 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 2181529 + 55890576 = 1477^2 + 7476^2 .

It is not a de Polignac number, because 58072105 - 25 = 58072073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58072109) 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 23 ways as a sum of consecutive naturals, for example, 5932 + ... + 12301.

It is an arithmetic number, because the mean of its divisors is an integer number (3637683).

Almost surely, 258072105 is an apocalyptic number.

It is an amenable number.

58072105 is a deficient number, since it is larger than the sum of its proper divisors (29232287).

58072105 is a wasteful number, since it uses less digits than its factorization.

58072105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 58072105 is about 7620.5055606567. The cubic root of 58072105 is about 387.2480054294.

The spelling of 58072105 in words is "fifty-eight million, seventy-two thousand, one hundred five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185 18233 91165 127631 237029 638155 893417 1185145 1659203 4467085 8296015 11614421 58072105