Search a number
-
+
104259015 = 3357215761
BaseRepresentation
bin1100011011011…
…01110111000111
321021011220111000
412031231313013
5203142242030
614202344343
72404121100
oct615556707
9237156430
10104259015
1153940383
122aabb0b3
13187a5233
14dbbd3a7
159246860
hex636ddc7

104259015 has 48 divisors (see below), whose sum is σ = 215624160. Its totient is φ = 47658240.

The previous prime is 104258963. The next prime is 104259037. The reversal of 104259015 is 510952401.

It is not a de Polignac number, because 104259015 - 26 = 104258951 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104259015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266 + ... + 14495.

It is an arithmetic number, because the mean of its divisors is an integer number (4492170).

Almost surely, 2104259015 is an apocalyptic number.

104259015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104259015 is an abundant number, since it is smaller than the sum of its proper divisors (111365145).

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

104259015 is a wasteful number, since it uses less digits than its factorization.

104259015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 104259015 is about 10210.7303852369. The cubic root of 104259015 is about 470.6570183451.

The spelling of 104259015 in words is "one hundred four million, two hundred fifty-nine thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 15761 47283 78805 110327 141849 236415 330981 425547 551635 709245 772289 992943 1654905 2127735 2316867 2978829 3861445 4964715 6950601 11584335 14894145 20851803 34753005 104259015