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27093280 = 255313541
BaseRepresentation
bin110011101011…
…0100100100000
31212222110222211
41213112210200
523413441110
62404411504
7446201104
oct147264440
955873884
1027093280
1114325645
1290a6b94
1357c7c36
143853904
1525a298a
hex19d6920

27093280 has 48 divisors (see below), whose sum is σ = 64331064. Its totient is φ = 10782720.

The previous prime is 27093263. The next prime is 27093281. The reversal of 27093280 is 8239072.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 15776784 = 3364^2 + 3972^2 .

It is not an unprimeable number, because it can be changed into a prime (27093281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49810 + ... + 50350.

Almost surely, 227093280 is an apocalyptic number.

27093280 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 27093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32165532).

27093280 is an abundant number, since it is smaller than the sum of its proper divisors (37237784).

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

27093280 is a wasteful number, since it uses less digits than its factorization.

27093280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 27093280 is about 5205.1205557605. The cubic root of 27093280 is about 300.3450843852.

The spelling of 27093280 in words is "twenty-seven million, ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 541 626 1082 1252 1565 2164 2504 2705 3130 4328 5008 5410 6260 8656 10016 10820 12520 17312 21640 25040 43280 50080 86560 169333 338666 677332 846665 1354664 1693330 2709328 3386660 5418656 6773320 13546640 27093280