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27024084 = 22331741359
BaseRepresentation
bin110011100010…
…1101011010100
31212211222002000
41213011223110
523404232314
62403115300
7445462263
oct147055324
955758060
1027024084
111428865a
129072b30
1357a25a9
1438365da
15258c209
hex19c5ad4

27024084 has 96 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 8248320.

The previous prime is 27024079. The next prime is 27024119. The reversal of 27024084 is 48042072.

It is a super-2 number, since 2×270240842 = 1460602232078112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 75097 + ... + 75455.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 227024084 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 27024084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

27024084 is an abundant number, since it is smaller than the sum of its proper divisors (49180716).

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

27024084 is a wasteful number, since it uses less digits than its factorization.

27024084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27024084 is about 5198.4693901186. The cubic root of 27024084 is about 300.0891734910.

It can be divided in two parts, 2702 and 4084, that added together give a triangular number (6786 = T116).

The spelling of 27024084 in words is "twenty-seven million, twenty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 359 369 459 492 612 697 718 738 918 1077 1107 1394 1436 1476 1836 2091 2154 2214 2788 3231 4182 4308 4428 6103 6273 6462 8364 9693 12206 12546 12924 14719 18309 18819 19386 24412 25092 29438 36618 37638 38772 44157 54927 58876 73236 75276 88314 109854 132471 164781 176628 219708 250223 264942 329562 397413 500446 529884 659124 750669 794826 1000892 1501338 1589652 2252007 3002676 4504014 6756021 9008028 13512042 27024084