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27966660 = 22353831217
BaseRepresentation
bin110101010101…
…1110011000100
31221121212001020
41222223303010
524124413120
62435231140
7456466311
oct152536304
957555036
1027966660
1114871847
1294484b0
135a42627
1439ddd08
1526c6640
hex1aabcc4

27966660 has 48 divisors (see below), whose sum is σ = 78575616. Its totient is φ = 7432192.

The previous prime is 27966647. The next prime is 27966677. The reversal of 27966660 is 6666972.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22372 + ... + 23588.

It is an arithmetic number, because the mean of its divisors is an integer number (1636992).

Almost surely, 227966660 is an apocalyptic number.

27966660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27966660 is an abundant number, since it is smaller than the sum of its proper divisors (50608956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27966660 is a wasteful number, since it uses less digits than its factorization.

27966660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 27966660 is about 5288.3513499010. The cubic root of 27966660 is about 303.5383256572.

The spelling of 27966660 in words is "twenty-seven million, nine hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 383 766 1149 1217 1532 1915 2298 2434 3651 3830 4596 4868 5745 6085 7302 7660 11490 12170 14604 18255 22980 24340 36510 73020 466111 932222 1398333 1864444 2330555 2796666 4661110 5593332 6991665 9322220 13983330 27966660