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27122039 = 73107739
BaseRepresentation
bin110011101110…
…1100101110111
31220000221102222
41213131211313
523420401124
62405152555
7446351000
oct147354567
956027388
1027122039
111434520a
1290bb75b
135808059
1438601a7
1525ab25e
hex19dd977

27122039 has 16 divisors (see below), whose sum is σ = 31968000. Its totient is φ = 22999032.

The previous prime is 27122009. The next prime is 27122057. The reversal of 27122039 is 93022172.

It is a de Polignac number, because none of the positive numbers 2k-27122039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27121999 and 27122017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36332 + ... + 37070.

It is an arithmetic number, because the mean of its divisors is an integer number (1998000).

Almost surely, 227122039 is an apocalyptic number.

27122039 is a deficient number, since it is larger than the sum of its proper divisors (4845961).

27122039 is an equidigital number, since it uses as much as digits as its factorization.

27122039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 27122039 is about 5207.8823911452. The cubic root of 27122039 is about 300.4513169990.

The spelling of 27122039 in words is "twenty-seven million, one hundred twenty-two thousand, thirty-nine".

Divisors: 1 7 49 107 343 739 749 5173 5243 36211 36701 79073 253477 553511 3874577 27122039