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27028368 = 24321761181
BaseRepresentation
bin110011100011…
…0101110010000
31212212011221200
41213012232100
523404401433
62403151200
7445510623
oct147065620
955764850
1027028368
11142908a4
129075500
1357a4523
143837dba
15258d613
hex19c6b90

27028368 has 120 divisors (see below), whose sum is σ = 81854136. Its totient is φ = 8294400.

The previous prime is 27028367. The next prime is 27028387. The reversal of 27028368 is 86382072.

It is a happy number.

27028368 is a `hidden beast` number, since 270 + 28 + 368 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 26749584 = 528^2 + 5172^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27028361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149238 + ... + 149418.

Almost surely, 227028368 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 27028368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40927068).

27028368 is an abundant number, since it is smaller than the sum of its proper divisors (54825768).

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

27028368 is a wasteful number, since it uses less digits than its factorization.

27028368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27028368 is about 5198.8814181514. The cubic root of 27028368 is about 300.1050298914.

The spelling of 27028368 in words is "twenty-seven million, twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 61 68 72 102 122 136 144 153 181 183 204 244 272 306 362 366 408 488 543 549 612 724 732 816 976 1037 1086 1098 1224 1448 1464 1629 2074 2172 2196 2448 2896 2928 3077 3111 3258 4148 4344 4392 6154 6222 6516 8296 8688 8784 9231 9333 11041 12308 12444 13032 16592 18462 18666 22082 24616 24888 26064 27693 33123 36924 37332 44164 49232 49776 55386 66246 73848 74664 88328 99369 110772 132492 147696 149328 176656 187697 198738 221544 264984 375394 397476 443088 529968 563091 750788 794952 1126182 1501576 1589904 1689273 2252364 3003152 3378546 4504728 6757092 9009456 13514184 27028368