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40368105 = 3352313001
BaseRepresentation
bin1001100111111…
…1011111101001
32210221220122000
42121333133221
540313234410
64001121213
71000060161
oct231773751
983856560
1040368105
1120872178
1211629209
13849526b
14550b5a1
153825dc0
hex267f7e9

40368105 has 32 divisors (see below), whose sum is σ = 74891520. Its totient is φ = 20592000.

The previous prime is 40368101. The next prime is 40368113. The reversal of 40368105 is 50186304.

It is not a de Polignac number, because 40368105 - 22 = 40368101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40368101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3396 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (2340360).

Almost surely, 240368105 is an apocalyptic number.

40368105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40368105 is a deficient number, since it is larger than the sum of its proper divisors (34523415).

40368105 is a wasteful number, since it uses less digits than its factorization.

40368105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13038 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40368105 is about 6353.5899301104. The cubic root of 40368105 is about 343.0410720706.

The spelling of 40368105 in words is "forty million, three hundred sixty-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 13001 39003 65005 117009 195015 299023 351027 585045 897069 1495115 1755135 2691207 4485345 8073621 13456035 40368105