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60027 = 31117107
BaseRepresentation
bin1110101001111011
310001100020
432221323
53410102
61141523
7340002
oct165173
9101306
1060027
1141110
122a8a3
1321426
1417c39
1512bbc
hexea7b

60027 has 16 divisors (see below), whose sum is σ = 93312. Its totient is φ = 33920.

The previous prime is 60017. The next prime is 60029. The reversal of 60027 is 72006.

It is a cyclic number.

It is not a de Polignac number, because 60027 - 28 = 59771 is a prime.

60027 is a modest number, since divided by 27 gives 6 as remainder.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 59988 and 60015.

It is not an unprimeable number, because it can be changed into a prime (60029) 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 15 ways as a sum of consecutive naturals, for example, 508 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

260027 is an apocalyptic number.

60027 is a deficient number, since it is larger than the sum of its proper divisors (33285).

60027 is a wasteful number, since it uses less digits than its factorization.

60027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 60027 is about 245.0040815987. The cubic root of 60027 is about 39.1545478325.

The spelling of 60027 in words is "sixty thousand, twenty-seven".

Divisors: 1 3 11 17 33 51 107 187 321 561 1177 1819 3531 5457 20009 60027