Search a number
-
+
105683336 = 23112432539
BaseRepresentation
bin1100100110010…
…01100110001000
321100212021021122
412103021212020
5204023331321
614253054412
72422202453
oct623114610
9240767248
10105683336
1154723500
122b487408
1318b83625
141007049a
1594288ab
hex64c9988

105683336 has 48 divisors (see below), whose sum is σ = 222961200. Its totient is φ = 46902240.

The previous prime is 105683329. The next prime is 105683353. The reversal of 105683336 is 633386501.

It is a super-2 number, since 2×1056833362 = 22337935016177792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105683296 and 105683305.

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 11 ways as a sum of consecutive naturals, for example, 40355 + ... + 42893.

It is an arithmetic number, because the mean of its divisors is an integer number (4645025).

Almost surely, 2105683336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105683336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111480600).

105683336 is an abundant number, since it is smaller than the sum of its proper divisors (117277864).

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

105683336 is a wasteful number, since it uses less digits than its factorization.

105683336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 105683336 is about 10280.2400750177. The cubic root of 105683336 is about 472.7906049899.

The spelling of 105683336 in words is "one hundred five million, six hundred eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1892 2539 3784 5078 5203 10156 10406 20312 20812 27929 41624 55858 109177 111716 218354 223432 307219 436708 614438 873416 1200947 1228876 2401894 2457752 4803788 9607576 13210417 26420834 52841668 105683336