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27986860 = 22511235531
BaseRepresentation
bin110101011000…
…0101110101100
31221122212202101
41222300232230
524131034420
62435504444
7456612226
oct152605654
957585671
1027986860
1114885a40
129458124
135a4b895
143a07416
1526cc60a
hex1ab0bac

27986860 has 48 divisors (see below), whose sum is σ = 66915072. Its totient is φ = 9732800.

The previous prime is 27986857. The next prime is 27986869. The reversal of 27986860 is 6868972.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 27986860.

It is not an unprimeable number, because it can be changed into a prime (27986869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2295 + ... + 7825.

It is an arithmetic number, because the mean of its divisors is an integer number (1394064).

Almost surely, 227986860 is an apocalyptic number.

27986860 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 27986860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33457536).

27986860 is an abundant number, since it is smaller than the sum of its proper divisors (38928212).

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

27986860 is a wasteful number, since it uses less digits than its factorization.

27986860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 27986860 is about 5290.2608631333. The cubic root of 27986860 is about 303.6113888276.

The spelling of 27986860 in words is "twenty-seven million, nine hundred eighty-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 5531 11062 22124 27655 55310 60841 110620 121682 127213 243364 254426 304205 508852 608410 636065 1216820 1272130 1399343 2544260 2798686 5597372 6996715 13993430 27986860