Base | Representation |
---|---|
bin | 1100100100001… |
… | …00111111100100 |
3 | 21100022222211101 |
4 | 12102010333210 |
5 | 203440333330 |
6 | 14243045444 |
7 | 2416622311 |
oct | 622047744 |
9 | 240288741 |
10 | 105402340 |
11 | 5455137a |
12 | 2b370884 |
13 | 18ab5764 |
14 | ddd9d08 |
15 | 93c04ca |
hex | 6484fe4 |
105402340 has 48 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 41247360.
The previous prime is 105402337. The next prime is 105402361. The reversal of 105402340 is 43204501.
It is a super-2 number, since 2×1054023402 = 22219306554951200, which contains 22 as substring.
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 15 ways as a sum of consecutive naturals, for example, 282394 + ... + 282766.
It is an arithmetic number, because the mean of its divisors is an integer number (4712400).
Almost surely, 2105402340 is an apocalyptic number.
105402340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
105402340 is an abundant number, since it is smaller than the sum of its proper divisors (120792860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105402340 is a wasteful number, since it uses less digits than its factorization.
105402340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 652 (or 650 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 19.
The square root of 105402340 is about 10266.5641769776. The cubic root of 105402340 is about 472.3712068368.
Adding to 105402340 its reverse (43204501), we get a palindrome (148606841).
It can be divided in two parts, 10540 and 2340, that added together give a triangular number (12880 = T160).
The spelling of 105402340 in words is "one hundred five million, four hundred two thousand, three hundred forty".
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