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27660645 = 325372449
BaseRepresentation
bin110100110000…
…1000101100101
31221001022021100
41221201011211
524040120040
62424510313
7454053165
oct151410545
957038240
1027660645
1114682941
12931b399
13596625c
1439605a5
152665b30
hex1a61165

27660645 has 36 divisors (see below), whose sum is σ = 49385700. Its totient is φ = 14321664.

The previous prime is 27660629. The next prime is 27660667. The reversal of 27660645 is 54606672.

27660645 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 0 + 645 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5022081 + 22638564 = 2241^2 + 4758^2 .

It is not a de Polignac number, because 27660645 - 24 = 27660629 is a prime.

It is a super-2 number, since 2×276606452 = 1530222563632050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 61381 + ... + 61829.

It is an arithmetic number, because the mean of its divisors is an integer number (1371825).

Almost surely, 227660645 is an apocalyptic number.

It is an amenable number.

27660645 is a deficient number, since it is larger than the sum of its proper divisors (21725055).

27660645 is a wasteful number, since it uses less digits than its factorization.

27660645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 27660645 is about 5259.3388367741. The cubic root of 27660645 is about 302.4271436225.

The spelling of 27660645 in words is "twenty-seven million, six hundred sixty thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 449 555 1347 1369 1665 2245 4041 4107 6735 6845 12321 16613 20205 20535 49839 61605 83065 149517 249195 614681 747585 1844043 3073405 5532129 9220215 27660645