Search a number
-
+
104618304 = 26357312
BaseRepresentation
bin1100011110001…
…01100101000000
321021212011100000
412033011211000
5203240241204
614214200000
72410145430
oct617054500
9237764300
10104618304
115406630a
122b053000
131889c92b
14dc742c0
1592b8039
hex63c5940

104618304 has 252 divisors, whose sum is σ = 367235232. Its totient is φ = 28926720.

The previous prime is 104618299. The next prime is 104618317. The reversal of 104618304 is 403816401.

104618304 is a `hidden beast` number, since 10 + 4 + 618 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 3374769 + ... + 3374799.

Almost surely, 2104618304 is an apocalyptic number.

104618304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104618304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183617616).

104618304 is an abundant number, since it is smaller than the sum of its proper divisors (262616928).

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

104618304 is an frugal number, since it uses more digits than its factorization.

104618304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104618304 is about 10228.3089511414. The cubic root of 104618304 is about 471.1970452262.

The spelling of 104618304 in words is "one hundred four million, six hundred eighteen thousand, three hundred four".