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40131765 = 325891817
BaseRepresentation
bin1001100100010…
…1110010110101
32210111220102200
42121011302311
540233204030
63552055113
7665054142
oct231056265
983456380
1040131765
1120720653
1211534499
13841180b
1454893c9
1537cad60
hex2645cb5

40131765 has 12 divisors (see below), whose sum is σ = 69561804. Its totient is φ = 21403584.

The previous prime is 40131761. The next prime is 40131769. The reversal of 40131765 is 56713104.

40131765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40131761) and next prime (40131769).

It can be written as a sum of positive squares in 2 ways, for example, as 21958596 + 18173169 = 4686^2 + 4263^2 .

It is not a de Polignac number, because 40131765 - 22 = 40131761 is a prime.

It is a super-2 number, since 2×401317652 = 3221117124030450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 445864 + ... + 445953.

It is an arithmetic number, because the mean of its divisors is an integer number (5796817).

Almost surely, 240131765 is an apocalyptic number.

40131765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40131765 is a deficient number, since it is larger than the sum of its proper divisors (29430039).

40131765 is a wasteful number, since it uses less digits than its factorization.

40131765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891828 (or 891825 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40131765 is about 6334.9636936608. The cubic root of 40131765 is about 342.3703027139.

Adding to 40131765 its reverse (56713104), we get a palindrome (96844869).

It can be divided in two parts, 4013 and 1765, that added together give a triangular number (5778 = T107).

The spelling of 40131765 in words is "forty million, one hundred thirty-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 891817 2675451 4459085 8026353 13377255 40131765