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27540340 = 2251781001
BaseRepresentation
bin110100100001…
…1101101110100
31220211012020121
41221003231310
524022242330
62422141324
7453042352
oct151035564
956735217
1027540340
1114600513
129281844
135923579
14392c7d2
15264017a
hex1a43b74

27540340 has 24 divisors (see below), whose sum is σ = 61237512. Its totient is φ = 10368000.

The previous prime is 27540319. The next prime is 27540347. The reversal of 27540340 is 4304572.

It can be written as a sum of positive squares in 4 ways, for example, as 10942864 + 16597476 = 3308^2 + 4074^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27540347) 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 7 ways as a sum of consecutive naturals, for example, 40161 + ... + 40840.

It is an arithmetic number, because the mean of its divisors is an integer number (2551563).

Almost surely, 227540340 is an apocalyptic number.

27540340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27540340 is an abundant number, since it is smaller than the sum of its proper divisors (33697172).

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

27540340 is a wasteful number, since it uses less digits than its factorization.

27540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81027 (or 81025 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 27540340 is about 5247.8890994380. The cubic root of 27540340 is about 301.9880556070.

It can be divided in two parts, 27540 and 340, that multiplied together give a square (9363600 = 30602).

The spelling of 27540340 in words is "twenty-seven million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 81001 162002 324004 405005 810010 1377017 1620020 2754034 5508068 6885085 13770170 27540340