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104140164 = 223174112451
BaseRepresentation
bin1100011010100…
…00110110000100
321020221212110010
412031100312010
5203124441124
614200030220
72403114432
oct615206604
9236855403
10104140164
115386a057
122aa62370
13187630cb
14db8bd52
159221529
hex6350d84

104140164 has 48 divisors (see below), whose sum is σ = 263583936. Its totient is φ = 31872000.

The previous prime is 104140117. The next prime is 104140171. The reversal of 104140164 is 461041401.

It is a self number, because there is not a number n which added to its sum of digits gives 104140164.

It is an unprimeable number.

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, 2139 + ... + 14589.

It is an arithmetic number, because the mean of its divisors is an integer number (5491332).

Almost surely, 2104140164 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 104140164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131791968).

104140164 is an abundant number, since it is smaller than the sum of its proper divisors (159443772).

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

104140164 is a wasteful number, since it uses less digits than its factorization.

104140164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12516 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 104140164 is about 10204.9088187989. The cubic root of 104140164 is about 470.4781071131.

Adding to 104140164 its reverse (461041401), we get a palindrome (565181565).

The spelling of 104140164 in words is "one hundred four million, one hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 8364 12451 24902 37353 49804 74706 149412 211667 423334 510491 635001 846668 1020982 1270002 1531473 2041964 2540004 3062946 6125892 8678347 17356694 26035041 34713388 52070082 104140164