Search a number
-
+
105682744 = 23176112739
BaseRepresentation
bin1100100110010…
…01011100111000
321100212020110201
412103021130320
5204023321434
614253051544
72422200646
oct623113470
9240766421
10105682744
1154723012
122b486bb4
1318b8328b
1410070196
159428614
hex64c9738

105682744 has 32 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 48913920.

The previous prime is 105682697. The next prime is 105682781. The reversal of 105682744 is 447286501.

It is a super-2 number, since 2×1056827442 = 22337684758739072, which contains 22 as substring.

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, 1927 + ... + 14665.

Almost surely, 2105682744 is an apocalyptic number.

It is an amenable number.

105682744 is an abundant number, since it is smaller than the sum of its proper divisors (107584856).

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

105682744 is a wasteful number, since it uses less digits than its factorization.

105682744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12823 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 105682744 is about 10280.2112818755. The cubic root of 105682744 is about 472.7897221873.

The spelling of 105682744 in words is "one hundred five million, six hundred eighty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 8 17 34 61 68 122 136 244 488 1037 2074 4148 8296 12739 25478 50956 101912 216563 433126 777079 866252 1554158 1732504 3108316 6216632 13210343 26420686 52841372 105682744