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40805190 = 23251313461
BaseRepresentation
bin1001101110101…
…0001101000110
32211210010012100
42123222031012
540421231230
64014332530
71003560366
oct233521506
984703170
1040805190
11210405a8
12117ba146
1385b91aa
1455c29a6
1538b0660
hex26ea346

40805190 has 48 divisors (see below), whose sum is σ = 106934256. Its totient is φ = 10795200.

The previous prime is 40805189. The next prime is 40805213. The reversal of 40805190 is 9150804.

40805190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×408051902 = 3330127061872200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10060 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (2227797).

Almost surely, 240805190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40805190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53467128).

40805190 is an abundant number, since it is smaller than the sum of its proper divisors (66129066).

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

40805190 is a wasteful number, since it uses less digits than its factorization.

40805190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 40805190 is about 6387.8940191584. The cubic root of 40805190 is about 344.2747208306.

Adding to 40805190 its reverse (9150804), we get a palindrome (49955994).

The spelling of 40805190 in words is "forty million, eight hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3461 3930 5895 6922 10383 11790 17305 20766 31149 34610 51915 62298 103830 155745 311490 453391 906782 1360173 2266955 2720346 4080519 4533910 6800865 8161038 13601730 20402595 40805190