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27128868 = 22313237561
BaseRepresentation
bin110011101111…
…1010000100100
31220001021210220
41213133100210
523421110433
62405244340
7446406624
oct147372044
956037726
1027128868
111434a358
1291036b0
13580b1b0
143862884
1525ad2b3
hex19df424

27128868 has 48 divisors (see below), whose sum is σ = 71143296. Its totient is φ = 7983360.

The previous prime is 27128867. The next prime is 27128879. The reversal of 27128868 is 86882172.

It is a super-2 number, since 2×271288682 = 1471950957922848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27128867) 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 15 ways as a sum of consecutive naturals, for example, 193 + ... + 7368.

It is an arithmetic number, because the mean of its divisors is an integer number (1482152).

Almost surely, 227128868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27128868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35571648).

27128868 is an abundant number, since it is smaller than the sum of its proper divisors (44014428).

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

27128868 is a wasteful number, since it uses less digits than its factorization.

27128868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7602 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 27128868 is about 5208.5379906457. The cubic root of 27128868 is about 300.4765315471.

The spelling of 27128868 in words is "twenty-seven million, one hundred twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 7561 15122 22683 30244 45366 90732 98293 173903 196586 294879 347806 393172 521709 589758 695612 1043418 1179516 2086836 2260739 4521478 6782217 9042956 13564434 27128868