Search a number
-
+
27016740 = 2236517109
BaseRepresentation
bin110011100001…
…1111000100100
31212211121000000
41213003320210
523404013430
62403021300
7445432002
oct147037044
955747000
1027016740
1114283093
12906a830
13579c14a
143833a72
152589e60
hex19c3e24

27016740 has 168 divisors, whose sum is σ = 90893880. Its totient is φ = 6718464.

The previous prime is 27016739. The next prime is 27016741. The reversal of 27016740 is 4761072.

It is an interprime number because it is at equal distance from previous prime (27016739) and next prime (27016741).

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 19131876 = 2808^2 + 4374^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27016741) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 247806 + ... + 247914.

It is an arithmetic number, because the mean of its divisors is an integer number (541035).

Almost surely, 227016740 is an apocalyptic number.

27016740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27016740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45446940).

27016740 is an abundant number, since it is smaller than the sum of its proper divisors (63877140).

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

27016740 is a wasteful number, since it uses less digits than its factorization.

27016740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 27016740 is about 5197.7629803599. The cubic root of 27016740 is about 300.0619871911.

The spelling of 27016740 in words is "twenty-seven million, sixteen thousand, seven hundred forty".