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105215340 = 22352376243
BaseRepresentation
bin1100100010101…
…11010101101100
321022222111022110
412101113111230
5203413342330
614235044020
72415213156
oct621272554
9238874273
10105215340
115443392a
122b2a0610
1318a4b5c9
14dd8bad6
159384db0
hex645756c

105215340 has 48 divisors (see below), whose sum is σ = 307415808. Its totient is φ = 26837184.

The previous prime is 105215323. The next prime is 105215353. The reversal of 105215340 is 43512501.

It is a super-2 number, since 2×1052153402 = 22140535542631200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36742 + ... + 39501.

It is an arithmetic number, because the mean of its divisors is an integer number (6404496).

Almost surely, 2105215340 is an apocalyptic number.

105215340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105215340 is an abundant number, since it is smaller than the sum of its proper divisors (202200468).

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

105215340 is a wasteful number, since it uses less digits than its factorization.

105215340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76278 (or 76276 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105215340 is about 10257.4529002087. The cubic root of 105215340 is about 472.0916883547.

Adding to 105215340 its reverse (43512501), we get a palindrome (148727841).

The spelling of 105215340 in words is "one hundred five million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 76243 152486 228729 304972 381215 457458 762430 914916 1143645 1524860 1753589 2287290 3507178 4574580 5260767 7014356 8767945 10521534 17535890 21043068 26303835 35071780 52607670 105215340