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27378 = 234132
BaseRepresentation
bin110101011110010
31101120000
412223302
51334003
6330430
7142551
oct65362
941500
1027378
111962a
1213a16
13c600
149d98
1581a3
hex6af2

27378 has 30 divisors (see below), whose sum is σ = 66429. Its totient is φ = 8424.

The previous prime is 27367. The next prime is 27397. The reversal of 27378 is 87372.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 3969 = 153^2 + 63^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=117.

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

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2100 + ... + 2112.

227378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27378

27378 is an abundant number, since it is smaller than the sum of its proper divisors (39051).

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

27378 is a wasteful number, since it uses less digits than its factorization.

27378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 18 counting only the distinct ones).

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

The square root of 27378 is about 165.4629867977. The cubic root of 27378 is about 30.1393517012.

It can be divided in two parts, 273 and 78, that added together give a triangular number (351 = T26).

The spelling of 27378 in words is "twenty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378