Search a number
-
+
104006727 = 3311350191
BaseRepresentation
bin1100011001100…
…00010001000111
321020201002102000
412030300101013
5203111203402
614153120343
72402020416
oct614602107
9236632360
10104006727
1153788880
122a9b90b3
1318717456
14db5547d
1591e6c1c
hex6330447

104006727 has 16 divisors (see below), whose sum is σ = 168092160. Its totient is φ = 63034200.

The previous prime is 104006717. The next prime is 104006729. The reversal of 104006727 is 727600401.

It is not a de Polignac number, because 104006727 - 210 = 104005703 is a prime.

It is a super-2 number, since 2×1040067272 = 21634798522505058, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104006727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104006729) 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 15 ways as a sum of consecutive naturals, for example, 174799 + ... + 175392.

It is an arithmetic number, because the mean of its divisors is an integer number (10505760).

Almost surely, 2104006727 is an apocalyptic number.

104006727 is a deficient number, since it is larger than the sum of its proper divisors (64085433).

104006727 is a wasteful number, since it uses less digits than its factorization.

104006727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350211 (or 350205 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 104006727 is about 10198.3688401626. The cubic root of 104006727 is about 470.2770767028.

The spelling of 104006727 in words is "one hundred four million, six thousand, seven hundred twenty-seven".

Divisors: 1 3 9 11 27 33 99 297 350191 1050573 3151719 3852101 9455157 11556303 34668909 104006727