Search a number
-
+
104260000000 = 285713401
BaseRepresentation
bin110000100011001100…
…0010101100100000000
3100222010001120202122111
41201012120111210000
53202011030000000
6115521341345104
710350442243402
oct1410630254400
9328101522574
10104260000000
1140242063162
1218258568194
139aa72653c0
145090b34b72
152aa321bcba
hex1846615900

104260000000 has 288 divisors, whose sum is σ = 280849671648. Its totient is φ = 38400000000.

The previous prime is 104259999997. The next prime is 104260000003. The reversal of 104260000000 is 62401.

104260000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104259999997) and next prime (104260000003).

It can be written as a sum of positive squares in 16 ways, for example, as 56659233024 + 47600766976 = 238032^2 + 218176^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (104260000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259999800 + ... + 260000200.

It is an arithmetic number, because the mean of its divisors is an integer number (975172471).

Almost surely, 2104260000000 is an apocalyptic number.

104260000000 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 104260000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140424835824).

104260000000 is an abundant number, since it is smaller than the sum of its proper divisors (176589671648).

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

104260000000 is an frugal number, since it uses more digits than its factorization.

104260000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 104260000000 its reverse (62401), we get a palindrome (104260062401).

The spelling of 104260000000 in words is "one hundred four billion, two hundred sixty million", and thus it is an aban number.