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105402340 = 22571199373
BaseRepresentation
bin1100100100001…
…00111111100100
321100022222211101
412102010333210
5203440333330
614243045444
72416622311
oct622047744
9240288741
10105402340
115455137a
122b370884
1318ab5764
14ddd9d08
1593c04ca
hex6484fe4

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".

Divisors: 1 2 4 5 10 20 71 142 199 284 355 373 398 710 746 796 995 1420 1492 1865 1990 3730 3980 7460 14129 26483 28258 52966 56516 70645 74227 105932 132415 141290 148454 264830 282580 296908 371135 529660 742270 1484540 5270117 10540234 21080468 26350585 52701170 105402340