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27400685 = 51317137181
BaseRepresentation
bin110100010000…
…1100111101101
31220120002200012
41220201213231
524003310220
62415143005
7451621244
oct150414755
956502605
1027400685
11145155a4
129214a65
1358a4b30
1438d395b
152613ac5
hex1a219ed

27400685 has 32 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 18800640.

The previous prime is 27400663. The next prime is 27400687. The reversal of 27400685 is 58600472.

It can be written as a sum of positive squares in 16 ways, for example, as 14303524 + 13097161 = 3782^2 + 3619^2 .

It is a de Polignac number, because none of the positive numbers 2k-27400685 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27400687) 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 31 ways as a sum of consecutive naturals, for example, 151295 + ... + 151475.

It is an arithmetic number, because the mean of its divisors is an integer number (1186731).

Almost surely, 227400685 is an apocalyptic number.

It is an amenable number.

27400685 is a deficient number, since it is larger than the sum of its proper divisors (10574707).

27400685 is a wasteful number, since it uses less digits than its factorization.

27400685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 27400685 is about 5234.5663621737. The cubic root of 27400685 is about 301.4767374132.

The spelling of 27400685 in words is "twenty-seven million, four hundred thousand, six hundred eighty-five".

Divisors: 1 5 13 17 65 85 137 181 221 685 905 1105 1781 2329 2353 3077 8905 11645 11765 15385 24797 30277 40001 123985 151385 200005 322361 421549 1611805 2107745 5480137 27400685