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27823140 = 22325154573
BaseRepresentation
bin110101000100…
…0110000100100
31221100120011200
41222020300210
524110320030
62432202500
7455331012
oct152106044
957316150
1027823140
1114783a34
129399430
1359c21c7
1439a38b2
152698d60
hex1a88c24

27823140 has 36 divisors (see below), whose sum is σ = 84397404. Its totient is φ = 7419456.

The previous prime is 27823129. The next prime is 27823141. The reversal of 27823140 is 4132872.

It can be written as a sum of positive squares in 2 ways, for example, as 16208676 + 11614464 = 4026^2 + 3408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (27823141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77107 + ... + 77466.

Almost surely, 227823140 is an apocalyptic number.

27823140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27823140 is an abundant number, since it is smaller than the sum of its proper divisors (56574264).

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

27823140 is a wasteful number, since it uses less digits than its factorization.

27823140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154588 (or 154583 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27823140 is about 5274.7644497172. The cubic root of 27823140 is about 303.0181997368.

The spelling of 27823140 in words is "twenty-seven million, eight hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 154573 309146 463719 618292 772865 927438 1391157 1545730 1854876 2318595 2782314 3091460 4637190 5564628 6955785 9274380 13911570 27823140