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27400 = 2352137
BaseRepresentation
bin110101100001000
31101120211
412230020
51334100
6330504
7142612
oct65410
941524
1027400
111964a
1213a34
13c619
149db2
1581ba
hex6b08

27400 has 24 divisors (see below), whose sum is σ = 64170. Its totient is φ = 10880.

The previous prime is 27397. The next prime is 27407. The reversal of 27400 is 472.

It can be written as a sum of positive squares in 3 ways, for example, as 21316 + 6084 = 146^2 + 78^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (27407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132 + ... + 268.

227400 is an apocalyptic number.

27400 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 27400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32085).

27400 is an abundant number, since it is smaller than the sum of its proper divisors (36770).

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

27400 is a wasteful number, since it uses less digits than its factorization.

27400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 27400 is about 165.5294535725. The cubic root of 27400 is about 30.1474225149.

Adding to 27400 its reverse (472), we get a palindrome (27872).

The spelling of 27400 in words is "twenty-seven thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6850 13700 27400