Search a number
-
+
104045000 = 235420809
BaseRepresentation
bin1100011001110…
…01100111001000
321020210000220112
412030321213020
5203113420000
614154013452
72402240123
oct614714710
9236700815
10104045000
1153804604
122aa17288
131872b9b7
14db653ba
159203235
hex63399c8

104045000 has 40 divisors (see below), whose sum is σ = 243789150. Its totient is φ = 41616000.

The previous prime is 104044991. The next prime is 104045009. The reversal of 104045000 is 540401.

It is an interprime number because it is at equal distance from previous prime (104044991) and next prime (104045009).

It can be written as a sum of positive squares in 5 ways, for example, as 45796 + 103999204 = 214^2 + 10198^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (104045009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 5405 + ... + 15404.

Almost surely, 2104045000 is an apocalyptic number.

104045000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104045000 is an abundant number, since it is smaller than the sum of its proper divisors (139744150).

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

104045000 is an equidigital number, since it uses as much as digits as its factorization.

104045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20835 (or 20816 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 104045000 is about 10200.2450950945. The cubic root of 104045000 is about 470.3347547259.

Adding to 104045000 its reverse (540401), we get a palindrome (104585401).

The spelling of 104045000 in words is "one hundred four million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 20809 41618 83236 104045 166472 208090 416180 520225 832360 1040450 2080900 2601125 4161800 5202250 10404500 13005625 20809000 26011250 52022500 104045000