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27013896 = 233272131931
BaseRepresentation
bin110011100001…
…1001100001000
31212211110002200
41213003030020
523403421041
62403000200
7445420500
oct147031410
955743080
1027013896
1114280a38
129069060
13579aa70
143832a00
1525891b6
hex19c3308

27013896 has 288 divisors, whose sum is σ = 99590400. Its totient is φ = 6531840.

The previous prime is 27013879. The next prime is 27013897. The reversal of 27013896 is 69831072.

27013896 is a `hidden beast` number, since 270 + 1 + 389 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27013896.

It is not an unprimeable number, because it can be changed into a prime (27013897) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871401 + ... + 871431.

It is an arithmetic number, because the mean of its divisors is an integer number (345800).

Almost surely, 227013896 is an apocalyptic number.

27013896 is a gapful number since it is divisible by the number (26) 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 27013896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

27013896 is an abundant number, since it is smaller than the sum of its proper divisors (72576504).

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

27013896 is a wasteful number, since it uses less digits than its factorization.

27013896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 27013896 is about 5197.4893939286. The cubic root of 27013896 is about 300.0514578398.

The spelling of 27013896 in words is "twenty-seven million, thirteen thousand, eight hundred ninety-six".