Search a number
-
+
105311464 = 23173124979
BaseRepresentation
bin1100100011011…
…10110011101000
321100011101011121
412101232303220
5203424431324
614241105024
72416063336
oct621566350
9240141147
10105311464
115449a075
122b328174
1318a8329b
14ddb4b56
1593a35e4
hex646ece8

105311464 has 32 divisors (see below), whose sum is σ = 215827200. Its totient is φ = 47957760.

The previous prime is 105311449. The next prime is 105311467. The reversal of 105311464 is 464113501.

It is a super-2 number, since 2×1053114642 = 22181008899646592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105311467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8274 + ... + 16705.

It is an arithmetic number, because the mean of its divisors is an integer number (6744600).

Almost surely, 2105311464 is an apocalyptic number.

It is an amenable number.

105311464 is an abundant number, since it is smaller than the sum of its proper divisors (110515736).

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

105311464 is a wasteful number, since it uses less digits than its factorization.

105311464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25033 (or 25029 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105311464 is about 10262.1373991971. The cubic root of 105311464 is about 472.2354111523.

Adding to 105311464 its reverse (464113501), we get a palindrome (569424965).

The spelling of 105311464 in words is "one hundred five million, three hundred eleven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 527 1054 2108 4216 24979 49958 99916 199832 424643 774349 849286 1548698 1698572 3097396 3397144 6194792 13163933 26327866 52655732 105311464