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27132025 = 525320477
BaseRepresentation
bin110011110000…
…0000001111001
31220001110010211
41213200001321
523421211100
62405311121
7446422054
oct147400171
956043124
1027132025
1114351768
1291054a1
13580c76b
143863a9b
1525ae1ba
hex19e0079

27132025 has 12 divisors (see below), whose sum is σ = 34280172. Its totient is φ = 21295040.

The previous prime is 27131999. The next prime is 27132047. The reversal of 27132025 is 52023172.

27132025 = 7122 + 7132 + ... + 7612.

It can be written as a sum of positive squares in 6 ways, for example, as 423801 + 26708224 = 651^2 + 5168^2 .

It is a de Polignac number, because none of the positive numbers 2k-27132025 is a prime.

It is a super-2 number, since 2×271320252 = 1472293561201250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27131987 and 27132005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8914 + ... + 11563.

It is an arithmetic number, because the mean of its divisors is an integer number (2856681).

Almost surely, 227132025 is an apocalyptic number.

27132025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27132025 is a deficient number, since it is larger than the sum of its proper divisors (7148147).

27132025 is a wasteful number, since it uses less digits than its factorization.

27132025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 27132025 is about 5208.8410419209. The cubic root of 27132025 is about 300.4881866299.

Adding to 27132025 its reverse (52023172), we get a palindrome (79155197).

The spelling of 27132025 in words is "twenty-seven million, one hundred thirty-two thousand, twenty-five".

Divisors: 1 5 25 53 265 1325 20477 102385 511925 1085281 5426405 27132025