Search a number
-
+
105337230 = 2353511241
BaseRepresentation
bin1100100011101…
…01000110001110
321100012200111220
412101311012032
5203431242410
614241424210
72416231425
oct621650616
9240180456
10105337230
1154507469
122b33b066
1318a91c2b
14ddc02bc
1593ab070
hex647518e

105337230 has 16 divisors (see below), whose sum is σ = 252809424. Its totient is φ = 28089920.

The previous prime is 105337223. The next prime is 105337249. The reversal of 105337230 is 32733501.

It is a super-2 number, since 2×1053372302 = 22191864048145800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105337230.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1755591 + ... + 1755650.

It is an arithmetic number, because the mean of its divisors is an integer number (15800589).

Almost surely, 2105337230 is an apocalyptic number.

105337230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105337230 is an abundant number, since it is smaller than the sum of its proper divisors (147472194).

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

105337230 is a wasteful number, since it uses less digits than its factorization.

105337230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511251.

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 105337230 is about 10263.3927139129. The cubic root of 105337230 is about 472.2739211269.

It can be divided in two parts, 1053 and 37230, that added together give a palindrome (38283).

The spelling of 105337230 in words is "one hundred five million, three hundred thirty-seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3511241 7022482 10533723 17556205 21067446 35112410 52668615 105337230