Search a number
-
+
105683310 = 23251174259
BaseRepresentation
bin1100100110010…
…01100101101110
321100212021020200
412103021211232
5204023331220
614253054330
72422202415
oct623114556
9240767220
10105683310
1154723487
122b4873a6
1318b83605
141007047c
159428890
hex64c996e

105683310 has 24 divisors (see below), whose sum is σ = 274776840. Its totient is φ = 28182192.

The previous prime is 105683297. The next prime is 105683311. The reversal of 105683310 is 13386501.

It is a super-2 number, since 2×1056833102 = 22337924025112200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587040 + ... + 587219.

It is an arithmetic number, because the mean of its divisors is an integer number (11449035).

Almost surely, 2105683310 is an apocalyptic number.

105683310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105683310 is an abundant number, since it is smaller than the sum of its proper divisors (169093530).

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

105683310 is a wasteful number, since it uses less digits than its factorization.

105683310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174272 (or 1174269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105683310 is about 10280.2388104557. The cubic root of 105683310 is about 472.7905662182.

The spelling of 105683310 in words is "one hundred five million, six hundred eighty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1174259 2348518 3522777 5871295 7045554 10568331 11742590 17613885 21136662 35227770 52841655 105683310