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27870804 = 2234132509
BaseRepresentation
bin110101001010…
…0011001010100
31221102222120000
41222110121110
524113331204
62433211300
7455616663
oct152243124
957388500
1027870804
1114806825
129400b30
135a0ab00
1439b6dda
1526a8039
hex1a94654

27870804 has 90 divisors (see below), whose sum is σ = 79050510. Its totient is φ = 8558784.

The previous prime is 27870781. The next prime is 27870809. The reversal of 27870804 is 40807872.

It can be written as a sum of positive squares in 3 ways, for example, as 810000 + 27060804 = 900^2 + 5202^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27870809) 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 29 ways as a sum of consecutive naturals, for example, 54502 + ... + 55010.

It is an arithmetic number, because the mean of its divisors is an integer number (878339).

Almost surely, 227870804 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 27870804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39525255).

27870804 is an abundant number, since it is smaller than the sum of its proper divisors (51179706).

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

27870804 is a wasteful number, since it uses less digits than its factorization.

27870804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 27870804 is about 5279.2806328135. The cubic root of 27870804 is about 303.1911351641.

The spelling of 27870804 in words is "twenty-seven million, eight hundred seventy thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 509 676 702 1014 1018 1053 1404 1521 1527 2028 2036 2106 3042 3054 4212 4563 4581 6084 6108 6617 9126 9162 13234 13689 13743 18252 18324 19851 26468 27378 27486 39702 41229 54756 54972 59553 79404 82458 86021 119106 164916 172042 178659 238212 258063 344084 357318 516126 535977 714636 774189 1032252 1071954 1548378 2143908 2322567 3096756 4645134 6967701 9290268 13935402 27870804