Search a number
-
+
104303104 = 291012017
BaseRepresentation
bin1100011011110…
…00101000000000
321021021010221221
412031320220000
5203200144404
614203324424
72404363453
oct615705000
9237233857
10104303104
1153970514
122ab20714
13187bc319
14dbd149a
159254954
hex6378a00

104303104 has 40 divisors (see below), whose sum is σ = 210570228. Its totient is φ = 51609600.

The previous prime is 104303093. The next prime is 104303131. The reversal of 104303104 is 401303401.

It can be written as a sum of positive squares in 2 ways, for example, as 81721600 + 22581504 = 9040^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50704 + ... + 52720.

Almost surely, 2104303104 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 104303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105285114).

104303104 is an abundant number, since it is smaller than the sum of its proper divisors (106267124).

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

104303104 is an equidigital number, since it uses as much as digits as its factorization.

104303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104303104 is about 10212.8891113142. The cubic root of 104303104 is about 470.7233527302.

Adding to 104303104 its reverse (401303401), we get a palindrome (505606505).

The spelling of 104303104 in words is "one hundred four million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1616 2017 3232 4034 6464 8068 12928 16136 25856 32272 51712 64544 129088 203717 258176 407434 516352 814868 1032704 1629736 3259472 6518944 13037888 26075776 52151552 104303104