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27380364 = 223112109173
BaseRepresentation
bin110100001110…
…0101010001100
31220112001210120
41220130222030
524002132424
62414504540
7451505064
oct150345214
956461716
1027380364
1114501300
129205150
1358987cb
1438ca3a4
15260ca79
hex1a1ca8c

27380364 has 72 divisors (see below), whose sum is σ = 71277360. Its totient is φ = 8173440.

The previous prime is 27380363. The next prime is 27380411. The reversal of 27380364 is 46308372.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27380363) 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 23 ways as a sum of consecutive naturals, for example, 158182 + ... + 158354.

Almost surely, 227380364 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 27380364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35638680).

27380364 is an abundant number, since it is smaller than the sum of its proper divisors (43896996).

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

27380364 is a wasteful number, since it uses less digits than its factorization.

27380364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 27380364 is about 5232.6249626741. The cubic root of 27380364 is about 301.4021915411.

The spelling of 27380364 in words is "twenty-seven million, three hundred eighty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 121 132 173 218 242 327 346 363 436 484 519 654 692 726 1038 1199 1308 1452 1903 2076 2398 3597 3806 4796 5709 7194 7612 11418 13189 14388 18857 20933 22836 26378 37714 39567 41866 52756 56571 62799 75428 79134 83732 113142 125598 158268 207427 226284 251196 414854 622281 829708 1244562 2281697 2489124 4563394 6845091 9126788 13690182 27380364