Search a number
-
+
104731560 = 2332517109157
BaseRepresentation
bin1100011111000…
…01001110101000
321022001220200200
412033201032220
5203302402220
614220432200
72411126553
oct617411650
9238056620
10104731560
115413340a
122b0a8660
131890c34b
14dca369a
1592db890
hex63e13a8

104731560 has 192 divisors, whose sum is σ = 366022800. Its totient is φ = 25878528.

The previous prime is 104731559. The next prime is 104731573. The reversal of 104731560 is 65137401.

It can be written as a sum of positive squares in 8 ways, for example, as 59814756 + 44916804 = 7734^2 + 6702^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667002 + ... + 667158.

Almost surely, 2104731560 is an apocalyptic number.

104731560 is a gapful number since it is divisible by the number (10) 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 104731560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183011400).

104731560 is an abundant number, since it is smaller than the sum of its proper divisors (261291240).

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

104731560 is a wasteful number, since it uses less digits than its factorization.

104731560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 104731560 is about 10233.8438526294. The cubic root of 104731560 is about 471.3670175438.

Adding to 104731560 its reverse (65137401), we get a palindrome (169868961).

The spelling of 104731560 in words is "one hundred four million, seven hundred thirty-one thousand, five hundred sixty".