Search a number
-
+
27361540 = 2251368077
BaseRepresentation
bin110100001100…
…0000100000100
31220111002222101
41220120010010
524001032130
62414241444
7451366153
oct150300404
956432871
1027361540
1114499148
1291b6284
13589007b
1438c359a
1526071ca
hex1a18104

27361540 has 12 divisors (see below), whose sum is σ = 57459276. Its totient is φ = 10944608.

The previous prime is 27361519. The next prime is 27361541. The reversal of 27361540 is 4516372.

It can be written as a sum of positive squares in 2 ways, for example, as 16192576 + 11168964 = 4024^2 + 3342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27361499 and 27361508.

It is not an unprimeable number, because it can be changed into a prime (27361541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 684019 + ... + 684058.

It is an arithmetic number, because the mean of its divisors is an integer number (4788273).

Almost surely, 227361540 is an apocalyptic number.

27361540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27361540 is an abundant number, since it is smaller than the sum of its proper divisors (30097736).

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

27361540 is a wasteful number, since it uses less digits than its factorization.

27361540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368086 (or 1368084 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 27361540 is about 5230.8259386066. The cubic root of 27361540 is about 301.3331043715. Note that the first 3 decimals are identical.

The spelling of 27361540 in words is "twenty-seven million, three hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1368077 2736154 5472308 6840385 13680770 27361540