Search a number
-
+
105826314 = 23111984391
BaseRepresentation
bin1100100111011…
…00100000001010
321101010112102010
412103230200022
5204042420224
614300120350
72423336346
oct623544012
9241115363
10105826314
1154810970
122b5360b6
1318c03729
14100aa626
159455e29
hex64ec80a

105826314 has 32 divisors (see below), whose sum is σ = 243048960. Its totient is φ = 30380400.

The previous prime is 105826297. The next prime is 105826337. The reversal of 105826314 is 413628501.

It is a super-2 number, since 2×1058263142 = 22398417469653192, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40942 + ... + 43449.

It is an arithmetic number, because the mean of its divisors is an integer number (7595280).

Almost surely, 2105826314 is an apocalyptic number.

105826314 is an abundant number, since it is smaller than the sum of its proper divisors (137222646).

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

105826314 is a wasteful number, since it uses less digits than its factorization.

105826314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84426.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105826314 is about 10287.1917450780. The cubic root of 105826314 is about 473.0037202454.

It can be divided in two parts, 1058 and 26314, that added together give a palindrome (27372).

The spelling of 105826314 in words is "one hundred five million, eight hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 84391 168782 253173 506346 928301 1603429 1856602 2784903 3206858 4810287 5569806 9620574 17637719 35275438 52913157 105826314