Search a number
-
+
104417417 = 1317472477
BaseRepresentation
bin1100011100101…
…00100010001001
321021110221202202
412032110202021
5203212324132
614210005545
72405350646
oct616244211
9237427682
10104417417
1153a39395
122ab768b5
131882c370
14dc20dcd
159278762
hex6394889

104417417 has 8 divisors (see below), whose sum is σ = 119064456. Its totient is φ = 90715392.

The previous prime is 104417387. The next prime is 104417419. The reversal of 104417417 is 714714401.

It can be written as a sum of positive squares in 4 ways, for example, as 7513081 + 96904336 = 2741^2 + 9844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104417417 - 26 = 104417353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104417417.

It is not an unprimeable number, because it can be changed into a prime (104417419) 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 7 ways as a sum of consecutive naturals, for example, 236018 + ... + 236459.

It is an arithmetic number, because the mean of its divisors is an integer number (14883057).

Almost surely, 2104417417 is an apocalyptic number.

104417417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

104417417 is a deficient number, since it is larger than the sum of its proper divisors (14647039).

104417417 is a wasteful number, since it uses less digits than its factorization.

104417417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472507.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 104417417 is about 10218.4840852252. The cubic root of 104417417 is about 470.8952560598.

The spelling of 104417417 in words is "one hundred four million, four hundred seventeen thousand, four hundred seventeen".

Divisors: 1 13 17 221 472477 6142201 8032109 104417417