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27130496 = 27792683
BaseRepresentation
bin110011101111…
…1101010000000
31220001101001012
41213133222000
523421133441
62405300052
7446414441
oct147375200
956041035
1027130496
11143505a8
129104628
13580bb63
1438632c8
1525ad9eb
hex19dfa80

27130496 has 32 divisors (see below), whose sum is σ = 54753600. Its totient is φ = 13388544.

The previous prime is 27130471. The next prime is 27130517. The reversal of 27130496 is 69403172.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8771 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (1711050).

Almost surely, 227130496 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 27130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27376800).

27130496 is an abundant number, since it is smaller than the sum of its proper divisors (27623104).

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

27130496 is an equidigital number, since it uses as much as digits as its factorization.

27130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 27130496 is about 5208.6942701602. The cubic root of 27130496 is about 300.4825419466.

The spelling of 27130496 in words is "twenty-seven million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 2683 5056 5366 10112 10732 21464 42928 85856 171712 211957 343424 423914 847828 1695656 3391312 6782624 13565248 27130496