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27106408 = 237269149
BaseRepresentation
bin110011101100…
…1110001101000
31220000011000001
41213121301220
523414401113
62404552344
7446254300
oct147316150
956004001
1027106408
111433449a
1290b26b4
135800bc4
143858600
1525a67dd
hex19d9c68

27106408 has 24 divisors (see below), whose sum is σ = 59123250. Its totient is φ = 11616864.

The previous prime is 27106399. The next prime is 27106427. The reversal of 27106408 is 80460172.

It can be written as a sum of positive squares in only one way, i.e., 24423364 + 2683044 = 4942^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 5 ways as a sum of consecutive naturals, for example, 34183 + ... + 34966.

Almost surely, 227106408 is an apocalyptic number.

27106408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27106408 is an abundant number, since it is smaller than the sum of its proper divisors (32016842).

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

27106408 is a wasteful number, since it uses less digits than its factorization.

27106408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69169 (or 69158 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 27106408 is about 5206.3814689283. The cubic root of 27106408 is about 300.3935871085.

The spelling of 27106408 in words is "twenty-seven million, one hundred six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 69149 138298 276596 484043 553192 968086 1936172 3388301 3872344 6776602 13553204 27106408