Search a number
-
+
27363128 = 2313237547
BaseRepresentation
bin110100001100…
…0011100111000
31220111012011012
41220120130320
524001110003
62414253052
7451403612
oct150303470
956435135
1027363128
111449a361
1291b7188
135890a00
1438c3db2
1526078d8
hex1a18738

27363128 has 48 divisors (see below), whose sum is σ = 57161880. Its totient is φ = 12265344.

The previous prime is 27363121. The next prime is 27363131. The reversal of 27363128 is 82136372.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27363094 and 27363103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27363121) by changing a digit.

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, 49751 + ... + 50297.

Almost surely, 227363128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27363128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580940).

27363128 is an abundant number, since it is smaller than the sum of its proper divisors (29798752).

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

27363128 is a wasteful number, since it uses less digits than its factorization.

27363128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 27363128 is about 5230.9777288763. The cubic root of 27363128 is about 301.3389338157.

The spelling of 27363128 in words is "twenty-seven million, three hundred sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 547 676 962 1094 1352 1924 2188 3848 4376 6253 7111 12506 14222 20239 25012 28444 40478 50024 56888 80956 92443 161912 184886 263107 369772 526214 739544 1052428 2104856 3420391 6840782 13681564 27363128