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105232240 = 2454132083
BaseRepresentation
bin1100100010110…
…11011101110000
321100000100111101
412101123131300
5203414412430
614235254144
72415313351
oct621333560
9240010441
10105232240
11544455a3
122b2aa354
1318a561c9
14dd93d28
159389dca
hex645b770

105232240 has 40 divisors (see below), whose sum is σ = 250640208. Its totient is φ = 41064960.

The previous prime is 105232219. The next prime is 105232243. The reversal of 105232240 is 42232501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052322402 = 22147648670835200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232243) 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, 12762 + ... + 19321.

Almost surely, 2105232240 is an apocalyptic number.

105232240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105232240 is an abundant number, since it is smaller than the sum of its proper divisors (145407968).

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

105232240 is a wasteful number, since it uses less digits than its factorization.

105232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32137 (or 32131 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105232240 is about 10258.2766583866. The cubic root of 105232240 is about 472.1169632573.

Adding to 105232240 its reverse (42232501), we get a palindrome (147464741).

The spelling of 105232240 in words is "one hundred five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 32083 64166 128332 160415 256664 320830 513328 641660 1283320 1315403 2566640 2630806 5261612 6577015 10523224 13154030 21046448 26308060 52616120 105232240